---
_id: '2477'
abstract:
- lang: eng
text: Dynamic activity of glia has repeatedly been demonstrated, but if such activity
is independent from neuronal activity, glia would not have any role in the information
processing in the brain or in the generation of animal behavior. Evidence for
neurons communicating with glia is solid, but the signaling pathway leading back
from glial-to-neuronal activity was often difficult to study. Here, we introduced
a transgenic mouse line in which channelrhodopsin-2, a light-gated cation channel,
was expressed in astrocytes. Selective photostimulation of these astrocytes in
vivo triggered neuronal activation. Using slice preparations, we show that glial
photostimulation leads to release of glutamate, which was sufficient to activate
AMPA receptors on Purkinje cells and to induce long-term depression of parallel
fiber-to-Purkinje cell synapses through activation of metabotropic glutamate receptors.
In contrast to neuronal synaptic vesicular release, glial activation likely causes
preferential activation of extrasynaptic receptors that appose glial membrane.
Finally, we show that neuronal activation by glial stimulation can lead to perturbation
of cerebellar modulated motor behavior. These findings demonstrate that glia can
modulate the tone of neuronal activity and behavior. This animal model is expected
to be a potentially powerful approach to study the role of glia in brain function.
author:
- first_name: Takuya
full_name: Sasaki, Takuya
last_name: Sasaki
- first_name: Kaoru
full_name: Beppu, Kaoru
last_name: Beppu
- first_name: Kenji
full_name: Tanaka, Kenji F
last_name: Tanaka
- first_name: Yugo
full_name: Fukazawa, Yugo
last_name: Fukazawa
- first_name: Ryuichi
full_name: Ryuichi Shigemoto
id: 499F3ABC-F248-11E8-B48F-1D18A9856A87
last_name: Shigemoto
orcid: 0000-0001-8761-9444
- first_name: Ko
full_name: Matsui, Ko
last_name: Matsui
citation:
ama: Sasaki T, Beppu K, Tanaka K, Fukazawa Y, Shigemoto R, Matsui K. Application
of an optogenetic byway for perturbing neuronal activity via glial photostimulation.
PNAS. 2012;109(50):20720-20725. doi:10.1073/pnas.1213458109
apa: Sasaki, T., Beppu, K., Tanaka, K., Fukazawa, Y., Shigemoto, R., & Matsui,
K. (2012). Application of an optogenetic byway for perturbing neuronal activity
via glial photostimulation. PNAS. National Academy of Sciences. https://doi.org/10.1073/pnas.1213458109
chicago: Sasaki, Takuya, Kaoru Beppu, Kenji Tanaka, Yugo Fukazawa, Ryuichi Shigemoto,
and Ko Matsui. “Application of an Optogenetic Byway for Perturbing Neuronal Activity
via Glial Photostimulation.” PNAS. National Academy of Sciences, 2012.
https://doi.org/10.1073/pnas.1213458109.
ieee: T. Sasaki, K. Beppu, K. Tanaka, Y. Fukazawa, R. Shigemoto, and K. Matsui,
“Application of an optogenetic byway for perturbing neuronal activity via glial
photostimulation,” PNAS, vol. 109, no. 50. National Academy of Sciences,
pp. 20720–20725, 2012.
ista: Sasaki T, Beppu K, Tanaka K, Fukazawa Y, Shigemoto R, Matsui K. 2012. Application
of an optogenetic byway for perturbing neuronal activity via glial photostimulation.
PNAS. 109(50), 20720–20725.
mla: Sasaki, Takuya, et al. “Application of an Optogenetic Byway for Perturbing
Neuronal Activity via Glial Photostimulation.” PNAS, vol. 109, no. 50,
National Academy of Sciences, 2012, pp. 20720–25, doi:10.1073/pnas.1213458109.
short: T. Sasaki, K. Beppu, K. Tanaka, Y. Fukazawa, R. Shigemoto, K. Matsui, PNAS
109 (2012) 20720–20725.
date_created: 2018-12-11T11:57:54Z
date_published: 2012-12-11T00:00:00Z
date_updated: 2021-01-12T06:57:43Z
day: '11'
doi: 10.1073/pnas.1213458109
extern: 1
intvolume: ' 109'
issue: '50'
month: '12'
page: 20720 - 20725
publication: PNAS
publication_status: published
publisher: National Academy of Sciences
publist_id: '4424'
quality_controlled: 0
status: public
title: Application of an optogenetic byway for perturbing neuronal activity via glial
photostimulation
type: journal_article
volume: 109
year: '2012'
...
---
_id: '2474'
abstract:
- lang: eng
text: 'Interneurons are critical for neuronal circuit function, but how their dendritic
morphologies and membrane properties influence information flow within neuronal
circuits is largely unknown. We studied the spatiotemporal profile of synaptic
integration and short-term plasticity in dendrites of mature cerebellar stellate
cells by combining two-photon guided electrical stimulation, glutamate uncaging,
electron microscopy, and modeling. Synaptic activation within thin (0.4 μm) dendrites
produced somatic responses that became smaller and slower with increasing distance
from the soma, sublinear subthreshold input-output relationships, and a somatodendritic
gradient of short-term plasticity. Unlike most studies showing that neurons employ
active dendritic mechanisms, we found that passive cable properties of thin dendrites
determine the sublinear integration and plasticity gradient, which both result
from large dendritic depolarizations that reduce synaptic driving force. These
integrative properties allow stellate cells to act as spatiotemporal filters of
synaptic input patterns, thereby biasing their output in favor of sparse presynaptic
activity. Stellate cells are critical sources of inhibition in the cerebellum,
but how their dendrites integrate excitatory synaptic inputs is unknown. Abrahamsson
et al. show that thin dendrites and passive membrane properties of SCs promote
sublinear synaptic summation and distance-dependent short-term plasticity. '
author:
- first_name: Therese
full_name: Abrahamsson, Therese
last_name: Abrahamsson
- first_name: Laurence
full_name: Cathala, Laurence
last_name: Cathala
- first_name: Ko
full_name: Matsui, Ko
last_name: Matsui
- first_name: Ryuichi
full_name: Ryuichi Shigemoto
id: 499F3ABC-F248-11E8-B48F-1D18A9856A87
last_name: Shigemoto
orcid: 0000-0001-8761-9444
- first_name: David
full_name: DiGregorio, David A
last_name: Digregorio
citation:
ama: Abrahamsson T, Cathala L, Matsui K, Shigemoto R, Digregorio D. Thin dendrites
of cerebellar interneurons confer sublinear synaptic integration and a gradient
of short-term plasticity. Neuron. 2012;73(6):1159-1172. doi:10.1016/j.neuron.2012.01.027
apa: Abrahamsson, T., Cathala, L., Matsui, K., Shigemoto, R., & Digregorio,
D. (2012). Thin dendrites of cerebellar interneurons confer sublinear synaptic
integration and a gradient of short-term plasticity. Neuron. Elsevier.
https://doi.org/10.1016/j.neuron.2012.01.027
chicago: Abrahamsson, Therese, Laurence Cathala, Ko Matsui, Ryuichi Shigemoto, and
David Digregorio. “Thin Dendrites of Cerebellar Interneurons Confer Sublinear
Synaptic Integration and a Gradient of Short-Term Plasticity.” Neuron.
Elsevier, 2012. https://doi.org/10.1016/j.neuron.2012.01.027.
ieee: T. Abrahamsson, L. Cathala, K. Matsui, R. Shigemoto, and D. Digregorio, “Thin
dendrites of cerebellar interneurons confer sublinear synaptic integration and
a gradient of short-term plasticity,” Neuron, vol. 73, no. 6. Elsevier,
pp. 1159–1172, 2012.
ista: Abrahamsson T, Cathala L, Matsui K, Shigemoto R, Digregorio D. 2012. Thin
dendrites of cerebellar interneurons confer sublinear synaptic integration and
a gradient of short-term plasticity. Neuron. 73(6), 1159–1172.
mla: Abrahamsson, Therese, et al. “Thin Dendrites of Cerebellar Interneurons Confer
Sublinear Synaptic Integration and a Gradient of Short-Term Plasticity.” Neuron,
vol. 73, no. 6, Elsevier, 2012, pp. 1159–72, doi:10.1016/j.neuron.2012.01.027.
short: T. Abrahamsson, L. Cathala, K. Matsui, R. Shigemoto, D. Digregorio, Neuron
73 (2012) 1159–1172.
date_created: 2018-12-11T11:57:52Z
date_published: 2012-03-22T00:00:00Z
date_updated: 2021-01-12T06:57:42Z
day: '22'
doi: 10.1016/j.neuron.2012.01.027
extern: 1
intvolume: ' 73'
issue: '6'
month: '03'
page: 1159 - 1172
publication: Neuron
publication_status: published
publisher: Elsevier
publist_id: '4427'
quality_controlled: 0
status: public
title: Thin dendrites of cerebellar interneurons confer sublinear synaptic integration
and a gradient of short-term plasticity
type: journal_article
volume: 73
year: '2012'
...
---
_id: '2515'
abstract:
- lang: eng
text: We investigated the temporal and spatial expression of SK2 in the developing
mouse hippocampus using molecular and biochemical techniques, quantitative immunogold
electron microscopy, and electrophysiology. The mRNA encoding SK2 was expressed
in the developing and adult hippocampus. Western blotting and immunohistochemistry
showed that SK2 protein increased with age. This was accompanied by a shift in
subcellular localization. Early in development (P5), SK2 was predominantly localized
to the endoplasmic reticulum in the pyramidal cell layer. But by P30 SK2 was almost
exclusively expressed in the dendrites and spines. The level of SK2 at the postsynaptic
density (PSD) also increased during development. In the adult, SK2 expression
on the spine plasma membrane showed a proximal-to-distal gradient. Consistent
with this redistribution and gradient of SK2, the selective SK channel blocker
apamin increased evoked excitatory postsynaptic potentials (EPSPs) only in CA1
pyramidal neurons from mice older than P15. However, the effect of apamin on EPSPs
was not different between synapses in proximal or distal stratum radiatum or stratum
lacunosum-moleculare in adult. These results show a developmental increase and
gradient in SK2-containing channel surface expression that underlie their influence
on neurotransmission, and that may contribute to increased memory acquisition
during early development.
author:
- first_name: Carmen
full_name: Ballesteros-Merino, Carmen
last_name: Ballesteros Merino
- first_name: Michael
full_name: Lin, Michael
last_name: Lin
- first_name: Wendy
full_name: Wu, Wendy W
last_name: Wu
- first_name: Clotilde
full_name: Ferrándiz-Huertas, Clotilde
last_name: Ferrándiz Huertas
- first_name: María
full_name: Cabañero, María José
last_name: Cabañero
- first_name: Masahiko
full_name: Watanabe, Masahiko
last_name: Watanabe
- first_name: Yugo
full_name: Fukazawa, Yugo
last_name: Fukazawa
- first_name: Ryuichi
full_name: Ryuichi Shigemoto
id: 499F3ABC-F248-11E8-B48F-1D18A9856A87
last_name: Shigemoto
orcid: 0000-0001-8761-9444
- first_name: James
full_name: Maylie, James G
last_name: Maylie
- first_name: John
full_name: Adelman, John P
last_name: Adelman
- first_name: Rafael
full_name: Luján, Rafael
last_name: Luján
citation:
ama: Ballesteros Merino C, Lin M, Wu W, et al. Developmental profile of SK2 channel
expression and function in CA1 neurons. Hippocampus. 2012;22(6):1467-1480.
doi:10.1002/hipo.20986
apa: Ballesteros Merino, C., Lin, M., Wu, W., Ferrándiz Huertas, C., Cabañero, M.,
Watanabe, M., … Luján, R. (2012). Developmental profile of SK2 channel expression
and function in CA1 neurons. Hippocampus. Wiley-Blackwell. https://doi.org/10.1002/hipo.20986
chicago: Ballesteros Merino, Carmen, Michael Lin, Wendy Wu, Clotilde Ferrándiz Huertas,
María Cabañero, Masahiko Watanabe, Yugo Fukazawa, et al. “ Developmental Profile
of SK2 Channel Expression and Function in CA1 Neurons.” Hippocampus. Wiley-Blackwell,
2012. https://doi.org/10.1002/hipo.20986.
ieee: C. Ballesteros Merino et al., “ Developmental profile of SK2 channel
expression and function in CA1 neurons,” Hippocampus, vol. 22, no. 6. Wiley-Blackwell,
pp. 1467–1480, 2012.
ista: Ballesteros Merino C, Lin M, Wu W, Ferrándiz Huertas C, Cabañero M, Watanabe
M, Fukazawa Y, Shigemoto R, Maylie J, Adelman J, Luján R. 2012. Developmental
profile of SK2 channel expression and function in CA1 neurons. Hippocampus. 22(6),
1467–1480.
mla: Ballesteros Merino, Carmen, et al. “ Developmental Profile of SK2 Channel Expression
and Function in CA1 Neurons.” Hippocampus, vol. 22, no. 6, Wiley-Blackwell,
2012, pp. 1467–80, doi:10.1002/hipo.20986.
short: C. Ballesteros Merino, M. Lin, W. Wu, C. Ferrándiz Huertas, M. Cabañero,
M. Watanabe, Y. Fukazawa, R. Shigemoto, J. Maylie, J. Adelman, R. Luján, Hippocampus
22 (2012) 1467–1480.
date_created: 2018-12-11T11:58:07Z
date_published: 2012-06-01T00:00:00Z
date_updated: 2021-01-12T06:57:57Z
day: '01'
doi: 10.1002/hipo.20986
extern: 1
intvolume: ' 22'
issue: '6'
month: '06'
page: 1467 - 1480
publication: Hippocampus
publication_status: published
publisher: Wiley-Blackwell
publist_id: '4386'
quality_controlled: 0
status: public
title: ' Developmental profile of SK2 channel expression and function in CA1 neurons'
type: journal_article
volume: 22
year: '2012'
...
---
_id: '2514'
abstract:
- lang: eng
text: Visual information must be relayed through the lateral geniculate nucleus
before it reaches the visual cortex. However, not all spikes created in the retina
lead to postsynaptic spikes and properties of the retinogeniculate synapse contribute
to this filtering. To understand the mechanisms underlying this filtering process,
we conducted electrophysiology to assess the properties of signal transmission
in the Long-Evans rat. We also performed SDS-digested freeze-fracture replica
labeling to quantify the receptor and transporter distribution, as well as EM
reconstruction to describe the 3D structure. To analyze the impact of transmitter
diffusion on the activity of the receptors, simulations were integrated. We identified
that a large contributor to the filtering is the marked paired-pulse depression
at this synapse, which was intensified by the morphological characteristics of
the contacts. The broad presynaptic and postsynaptic contact area restricts transmitter
diffusion two dimensionally. Additionally, the presence of multiple closely arranged
release sites invites intersynaptic spillover, which causes desensitization of
AMPA receptors. The presence of AMPA receptors that slowly recover from desensitization
along with the high presynaptic release probability and multivesicular release
at each synapse also contribute to the depression. These features contrast with
many other synapses where spatiotemporal spread of transmitter is limited by rapid
transmitter clearance allowing synapses to operate more independently. We propose
that the micrometer-order structure can ultimately affect the visual information
processing.
author:
- first_name: Timotheus
full_name: Budisantoso, Timotheus
last_name: Budisantoso
- first_name: Ko
full_name: Matsui, Ko
last_name: Matsui
- first_name: Naomi
full_name: Kamasawa, Naomi
last_name: Kamasawa
- first_name: Yugo
full_name: Fukazawa, Yugo
last_name: Fukazawa
- first_name: Ryuichi
full_name: Ryuichi Shigemoto
id: 499F3ABC-F248-11E8-B48F-1D18A9856A87
last_name: Shigemoto
orcid: 0000-0001-8761-9444
citation:
ama: Budisantoso T, Matsui K, Kamasawa N, Fukazawa Y, Shigemoto R. Mechanisms underlying
signal filtering at a multisynapse contact. Journal of Neuroscience. 2012;32(7):2357-2376.
doi:10.1523/JNEUROSCI.5243-11.2012
apa: Budisantoso, T., Matsui, K., Kamasawa, N., Fukazawa, Y., & Shigemoto, R.
(2012). Mechanisms underlying signal filtering at a multisynapse contact. Journal
of Neuroscience. Society for Neuroscience. https://doi.org/10.1523/JNEUROSCI.5243-11.2012
chicago: Budisantoso, Timotheus, Ko Matsui, Naomi Kamasawa, Yugo Fukazawa, and Ryuichi
Shigemoto. “Mechanisms Underlying Signal Filtering at a Multisynapse Contact.”
Journal of Neuroscience. Society for Neuroscience, 2012. https://doi.org/10.1523/JNEUROSCI.5243-11.2012.
ieee: T. Budisantoso, K. Matsui, N. Kamasawa, Y. Fukazawa, and R. Shigemoto, “Mechanisms
underlying signal filtering at a multisynapse contact,” Journal of Neuroscience,
vol. 32, no. 7. Society for Neuroscience, pp. 2357–2376, 2012.
ista: Budisantoso T, Matsui K, Kamasawa N, Fukazawa Y, Shigemoto R. 2012. Mechanisms
underlying signal filtering at a multisynapse contact. Journal of Neuroscience.
32(7), 2357–2376.
mla: Budisantoso, Timotheus, et al. “Mechanisms Underlying Signal Filtering at a
Multisynapse Contact.” Journal of Neuroscience, vol. 32, no. 7, Society
for Neuroscience, 2012, pp. 2357–76, doi:10.1523/JNEUROSCI.5243-11.2012.
short: T. Budisantoso, K. Matsui, N. Kamasawa, Y. Fukazawa, R. Shigemoto, Journal
of Neuroscience 32 (2012) 2357–2376.
date_created: 2018-12-11T11:58:07Z
date_published: 2012-02-15T00:00:00Z
date_updated: 2021-01-12T06:57:57Z
day: '15'
doi: 10.1523/JNEUROSCI.5243-11.2012
extern: 1
intvolume: ' 32'
issue: '7'
month: '02'
page: 2357 - 2376
publication: Journal of Neuroscience
publication_status: published
publisher: Society for Neuroscience
publist_id: '4387'
quality_controlled: 0
status: public
title: Mechanisms underlying signal filtering at a multisynapse contact
type: journal_article
volume: 32
year: '2012'
...
---
_id: '2689'
abstract:
- lang: eng
text: R-type calcium channels (RTCCs) are well known for their role in synaptic
plasticity, but little is known about their subcellular distribution across various
neuronal compartments. Using subtype-specific antibodies, we characterized the
regional and subcellular localization of Ca v2.3 in mice and rats at both light
and electron microscopic levels. Ca v2.3 immunogold particles were found to be
predominantly presynaptic in the interpeduncular nucleus, but postsynaptic in
other brain regions. Serial section analysis of electron microscopic images from
the hippocampal CA1 revealed a higher density of immunogold particles in the dendritic
shaft plasma membrane compared with the pyramidal cell somata. However, the labeling
densities were not significantly different among the apical, oblique, or basal
dendrites. Immunogold particles were also observed over the plasma membrane of
dendritic spines, including both synaptic and extrasynaptic sites. Individual
spine heads contained <20 immunogold particles, with an average density of
~260 immunoparticles per μm 3 spine head volume, in accordance with the density
of RTCCs estimated using calcium imaging (Sabatini and Svoboda, 2000). The Ca
v2.3 density was variable among similar-sized spine heads and did not correlate
with the density in the parent dendrite, implying that spines are individual calcium
compartments operating autonomously from their parent dendrites.
author:
- first_name: Laxmi
full_name: Parajuli, Laxmi K
last_name: Parajuli
- first_name: Chikako
full_name: Nakajima, Chikako
last_name: Nakajima
- first_name: Ákos
full_name: Kulik, Ákos
last_name: Kulik
- first_name: Ko
full_name: Matsui, Ko
last_name: Matsui
- first_name: Toni
full_name: Schneider, Toni
last_name: Schneider
- first_name: Ryuichi
full_name: Ryuichi Shigemoto
id: 499F3ABC-F248-11E8-B48F-1D18A9856A87
last_name: Shigemoto
orcid: 0000-0001-8761-9444
- first_name: Yugo
full_name: Fukazawa, Yugo
last_name: Fukazawa
citation:
ama: Parajuli L, Nakajima C, Kulik Á, et al. Quantitative regional and ultra structural
localization of the Ca v2 3 subunit of R type calcium channel in mouse brain.
Journal of Neuroscience. 2012;32(39):13555-13567. doi:10.1523/JNEUROSCI.1142-12.2012
apa: Parajuli, L., Nakajima, C., Kulik, Á., Matsui, K., Schneider, T., Shigemoto,
R., & Fukazawa, Y. (2012). Quantitative regional and ultra structural localization
of the Ca v2 3 subunit of R type calcium channel in mouse brain. Journal of
Neuroscience. Society for Neuroscience. https://doi.org/10.1523/JNEUROSCI.1142-12.2012
chicago: Parajuli, Laxmi, Chikako Nakajima, Ákos Kulik, Ko Matsui, Toni Schneider,
Ryuichi Shigemoto, and Yugo Fukazawa. “Quantitative Regional and Ultra Structural
Localization of the Ca v2 3 Subunit of R Type Calcium Channel in Mouse Brain.”
Journal of Neuroscience. Society for Neuroscience, 2012. https://doi.org/10.1523/JNEUROSCI.1142-12.2012.
ieee: L. Parajuli et al., “Quantitative regional and ultra structural localization
of the Ca v2 3 subunit of R type calcium channel in mouse brain,” Journal of
Neuroscience, vol. 32, no. 39. Society for Neuroscience, pp. 13555–13567,
2012.
ista: Parajuli L, Nakajima C, Kulik Á, Matsui K, Schneider T, Shigemoto R, Fukazawa
Y. 2012. Quantitative regional and ultra structural localization of the Ca v2
3 subunit of R type calcium channel in mouse brain. Journal of Neuroscience. 32(39),
13555–13567.
mla: Parajuli, Laxmi, et al. “Quantitative Regional and Ultra Structural Localization
of the Ca v2 3 Subunit of R Type Calcium Channel in Mouse Brain.” Journal of
Neuroscience, vol. 32, no. 39, Society for Neuroscience, 2012, pp. 13555–67,
doi:10.1523/JNEUROSCI.1142-12.2012.
short: L. Parajuli, C. Nakajima, Á. Kulik, K. Matsui, T. Schneider, R. Shigemoto,
Y. Fukazawa, Journal of Neuroscience 32 (2012) 13555–13567.
date_created: 2018-12-11T11:59:05Z
date_published: 2012-09-26T00:00:00Z
date_updated: 2021-01-12T06:59:04Z
day: '26'
doi: 10.1523/JNEUROSCI.1142-12.2012
extern: 1
intvolume: ' 32'
issue: '39'
month: '09'
page: 13555 - 13567
publication: Journal of Neuroscience
publication_status: published
publisher: Society for Neuroscience
publist_id: '4208'
quality_controlled: 0
status: public
title: Quantitative regional and ultra structural localization of the Ca v2 3 subunit
of R type calcium channel in mouse brain
type: journal_article
volume: 32
year: '2012'
...
---
_id: '2687'
abstract:
- lang: eng
text: Left-right asymmetry of human brain function has been known for a century,
although much of molecular and cellular basis of brain laterality remains to be
elusive. Recent studies suggest that hippocampal CA3-CA1 excitatory synapses are
asymmetrically arranged, however, the functional implication of the asymmetrical
circuitry has not been studied at the behavioral level. In order to address the
left-right asymmetry of hippocampal function in behaving mice, we analyzed the
performance of "split-brain" mice in the Barnes maze. The "split-brain"
mice received ventral hippocampal commissure and corpus callosum transection in
addition to deprivation of visual input from one eye. In such mice, the hippocampus
in the side of visual deprivation receives sensory-driven input. Better spatial
task performance was achieved by the mice which were forced to use the right hippocampus
than those which were forced to use the left hippocampus. In two-choice spatial
maze, forced usage of left hippocampus resulted in a comparable performance to
the right counterpart, suggesting that both hippocampal hemispheres are capable
of conducting spatial learning. Therefore, the results obtained from the Barnes
maze suggest that the usage of the right hippocampus improves the accuracy of
spatial memory. Performance of non-spatial yet hippocampus-dependent tasks (e.g.
fear conditioning) was not influenced by the laterality of the hippocampus.
author:
- first_name: Yoshiaki
full_name: Shinohara, Yoshiaki
last_name: Shinohara
- first_name: Aki
full_name: Hosoya, Aki
last_name: Hosoya
- first_name: Nobuyuki
full_name: Yamasaki, Nobuyuki
last_name: Yamasaki
- first_name: Hassan
full_name: Ahmed, Hassan
last_name: Ahmed
- first_name: Satoko
full_name: Hattori, Satoko
last_name: Hattori
- first_name: Megumi
full_name: Eguchi, Megumi
last_name: Eguchi
- first_name: Shun
full_name: Yamaguchi, Shun
last_name: Yamaguchi
- first_name: Tsuyoshi
full_name: Miyakawa, Tsuyoshi
last_name: Miyakawa
- first_name: Hajime
full_name: Hirase, Hajime
last_name: Hirase
- first_name: Ryuichi
full_name: Ryuichi Shigemoto
id: 499F3ABC-F248-11E8-B48F-1D18A9856A87
last_name: Shigemoto
orcid: 0000-0001-8761-9444
citation:
ama: Shinohara Y, Hosoya A, Yamasaki N, et al. Right-hemispheric dominance of spatial
memory in split-brain mice. Hippocampus. 2012;22(2):117-121. doi:10.1002/hipo.20886
apa: Shinohara, Y., Hosoya, A., Yamasaki, N., Ahmed, H., Hattori, S., Eguchi, M.,
… Shigemoto, R. (2012). Right-hemispheric dominance of spatial memory in split-brain
mice. Hippocampus. Wiley-Blackwell. https://doi.org/10.1002/hipo.20886
chicago: Shinohara, Yoshiaki, Aki Hosoya, Nobuyuki Yamasaki, Hassan Ahmed, Satoko
Hattori, Megumi Eguchi, Shun Yamaguchi, Tsuyoshi Miyakawa, Hajime Hirase, and
Ryuichi Shigemoto. “Right-Hemispheric Dominance of Spatial Memory in Split-Brain
Mice.” Hippocampus. Wiley-Blackwell, 2012. https://doi.org/10.1002/hipo.20886.
ieee: Y. Shinohara et al., “Right-hemispheric dominance of spatial memory
in split-brain mice,” Hippocampus, vol. 22, no. 2. Wiley-Blackwell, pp.
117–121, 2012.
ista: Shinohara Y, Hosoya A, Yamasaki N, Ahmed H, Hattori S, Eguchi M, Yamaguchi
S, Miyakawa T, Hirase H, Shigemoto R. 2012. Right-hemispheric dominance of spatial
memory in split-brain mice. Hippocampus. 22(2), 117–121.
mla: Shinohara, Yoshiaki, et al. “Right-Hemispheric Dominance of Spatial Memory
in Split-Brain Mice.” Hippocampus, vol. 22, no. 2, Wiley-Blackwell, 2012,
pp. 117–21, doi:10.1002/hipo.20886.
short: Y. Shinohara, A. Hosoya, N. Yamasaki, H. Ahmed, S. Hattori, M. Eguchi, S.
Yamaguchi, T. Miyakawa, H. Hirase, R. Shigemoto, Hippocampus 22 (2012) 117–121.
date_created: 2018-12-11T11:59:04Z
date_published: 2012-01-01T00:00:00Z
date_updated: 2021-01-12T06:59:03Z
day: '01'
doi: 10.1002/hipo.20886
extern: 1
intvolume: ' 22'
issue: '2'
month: '01'
page: 117 - 121
publication: Hippocampus
publication_status: published
publisher: Wiley-Blackwell
publist_id: '4210'
quality_controlled: 0
status: public
title: Right-hemispheric dominance of spatial memory in split-brain mice
type: journal_article
volume: 22
year: '2012'
...
---
_id: '2688'
abstract:
- lang: eng
text: To gain insights into structure-function relationship of excitatory synapses,
we revisit our quantitative analysis of synaptic AMPAR by highly sensitive freeze-fracture
replica labeling in eight different connections. All of these connections showed
linear correlation between synapse size and AMPAR number indicating a common intra-synapse-type
relationship in CNS synapses. On the contrary, inter-synapse-type relationship
is unexpected indicating no correlation between averages of synapse size and AMPAR
number. Interestingly, connections with large average synapse size and low AMPAR
density showed high variability of AMPAR number and mosaic distribution within
the postsynaptic membrane. We propose an idea that these connections may quickly
exhibit synaptic plasticity by modifying AMPAR density/number whereas those with
high AMPAR density change their efficacy by modifying synapse size.
author:
- first_name: Yugo
full_name: Fukazawa, Yugo
last_name: Fukazawa
- first_name: Ryuichi
full_name: Ryuichi Shigemoto
id: 499F3ABC-F248-11E8-B48F-1D18A9856A87
last_name: Shigemoto
orcid: 0000-0001-8761-9444
citation:
ama: Fukazawa Y, Shigemoto R. Intra-synapse-type and inter-synapse-type relationships
between synaptic size and AMPAR expression. Current Opinion in Neurobiology.
2012;22(3):446-452. doi:10.1016/j.conb.2012.01.006
apa: Fukazawa, Y., & Shigemoto, R. (2012). Intra-synapse-type and inter-synapse-type
relationships between synaptic size and AMPAR expression. Current Opinion in
Neurobiology. Elsevier. https://doi.org/10.1016/j.conb.2012.01.006
chicago: Fukazawa, Yugo, and Ryuichi Shigemoto. “Intra-Synapse-Type and Inter-Synapse-Type
Relationships between Synaptic Size and AMPAR Expression.” Current Opinion
in Neurobiology. Elsevier, 2012. https://doi.org/10.1016/j.conb.2012.01.006.
ieee: Y. Fukazawa and R. Shigemoto, “Intra-synapse-type and inter-synapse-type relationships
between synaptic size and AMPAR expression,” Current Opinion in Neurobiology,
vol. 22, no. 3. Elsevier, pp. 446–452, 2012.
ista: Fukazawa Y, Shigemoto R. 2012. Intra-synapse-type and inter-synapse-type relationships
between synaptic size and AMPAR expression. Current Opinion in Neurobiology. 22(3),
446–452.
mla: Fukazawa, Yugo, and Ryuichi Shigemoto. “Intra-Synapse-Type and Inter-Synapse-Type
Relationships between Synaptic Size and AMPAR Expression.” Current Opinion
in Neurobiology, vol. 22, no. 3, Elsevier, 2012, pp. 446–52, doi:10.1016/j.conb.2012.01.006.
short: Y. Fukazawa, R. Shigemoto, Current Opinion in Neurobiology 22 (2012) 446–452.
date_created: 2018-12-11T11:59:04Z
date_published: 2012-06-01T00:00:00Z
date_updated: 2021-01-12T06:59:03Z
day: '01'
doi: 10.1016/j.conb.2012.01.006
extern: 1
intvolume: ' 22'
issue: '3'
month: '06'
page: 446 - 452
publication: Current Opinion in Neurobiology
publication_status: published
publisher: Elsevier
publist_id: '4209'
quality_controlled: 0
status: public
title: Intra-synapse-type and inter-synapse-type relationships between synaptic size
and AMPAR expression
type: journal_article
volume: 22
year: '2012'
...
---
_id: '2696'
author:
- first_name: László
full_name: László Erdös
id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
last_name: Erdös
orcid: 0000-0001-5366-9603
citation:
ama: Erdös L. Universality for random matrices and log-gases. ArXiv. 2012.
apa: Erdös, L. (2012). Universality for random matrices and log-gases. ArXiv.
ArXiv.
chicago: Erdös, László. “Universality for Random Matrices and Log-Gases.” ArXiv.
ArXiv, 2012.
ieee: L. Erdös, “Universality for random matrices and log-gases,” ArXiv.
ArXiv, 2012.
ista: Erdös L. 2012. Universality for random matrices and log-gases. ArXiv, .
mla: Erdös, László. “Universality for Random Matrices and Log-Gases.” ArXiv,
ArXiv, 2012.
short: L. Erdös, ArXiv (2012).
date_created: 2018-12-11T11:59:07Z
date_published: 2012-12-04T00:00:00Z
date_updated: 2021-01-12T06:59:06Z
day: '04'
extern: 1
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1212.0839
month: '12'
oa: 1
publication: ArXiv
publication_status: published
publisher: ArXiv
publist_id: '4201'
quality_controlled: 0
status: public
title: Universality for random matrices and log-gases
type: preprint
year: '2012'
...
---
_id: '2700'
alternative_title:
- Quantum Theory from Small to Large Scales
author:
- first_name: László
full_name: László Erdös
id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
last_name: Erdös
orcid: 0000-0001-5366-9603
citation:
ama: 'Erdös L. Lecture notes on quantum Brownian motion. In: Vol 95. Oxford University
Press; 2012:3-98.'
apa: Erdös, L. (2012). Lecture notes on quantum Brownian motion (Vol. 95, pp. 3–98).
Presented at the Les Houches Summer School 2010, Oxford University Press.
chicago: Erdös, László. “Lecture Notes on Quantum Brownian Motion,” 95:3–98. Oxford
University Press, 2012.
ieee: L. Erdös, “Lecture notes on quantum Brownian motion,” presented at the Les
Houches Summer School 2010, 2012, vol. 95, pp. 3–98.
ista: Erdös L. 2012. Lecture notes on quantum Brownian motion. Les Houches Summer
School 2010, Quantum Theory from Small to Large Scales, vol. 95, 3–98.
mla: Erdös, László. Lecture Notes on Quantum Brownian Motion. Vol. 95, Oxford
University Press, 2012, pp. 3–98.
short: L. Erdös, in:, Oxford University Press, 2012, pp. 3–98.
conference:
name: Les Houches Summer School 2010
date_created: 2018-12-11T11:59:08Z
date_published: 2012-05-24T00:00:00Z
date_updated: 2021-01-12T06:59:08Z
day: '24'
extern: 1
intvolume: ' 95'
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1009.0843
month: '05'
oa: 1
page: 3 - 98
publication_status: published
publisher: Oxford University Press
publist_id: '4196'
quality_controlled: 0
status: public
title: Lecture notes on quantum Brownian motion
type: conference
volume: 95
year: '2012'
...
---
_id: '2715'
abstract:
- lang: eng
text: 'We consider Markov decision processes (MDPs) with specifications given as
Büchi (liveness) objectives. We consider the problem of computing the set of almost-sure
winning vertices from where the objective can be ensured with probability 1. We
study for the first time the average case complexity of the classical algorithm
for computing the set of almost-sure winning vertices for MDPs with Büchi objectives.
Our contributions are as follows: First, we show that for MDPs with constant out-degree
the expected number of iterations is at most logarithmic and the average case
running time is linear (as compared to the worst case linear number of iterations
and quadratic time complexity). Second, for the average case analysis over all
MDPs we show that the expected number of iterations is constant and the average
case running time is linear (again as compared to the worst case linear number
of iterations and quadratic time complexity). Finally we also show that given
that all MDPs are equally likely, the probability that the classical algorithm
requires more than constant number of iterations is exponentially small.'
alternative_title:
- LIPIcs
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Manas
full_name: Joglekar, Manas
last_name: Joglekar
- first_name: Nisarg
full_name: Shah, Nisarg
last_name: Shah
citation:
ama: 'Chatterjee K, Joglekar M, Shah N. Average case analysis of the classical algorithm
for Markov decision processes with Büchi objectives. In: Vol 18. Schloss Dagstuhl
- Leibniz-Zentrum für Informatik; 2012:461-473. doi:10.4230/LIPIcs.FSTTCS.2012.461'
apa: 'Chatterjee, K., Joglekar, M., & Shah, N. (2012). Average case analysis
of the classical algorithm for Markov decision processes with Büchi objectives
(Vol. 18, pp. 461–473). Presented at the FSTTCS: Foundations of Software Technology
and Theoretical Computer Science, Hyderabad, India: Schloss Dagstuhl - Leibniz-Zentrum
für Informatik. https://doi.org/10.4230/LIPIcs.FSTTCS.2012.461'
chicago: Chatterjee, Krishnendu, Manas Joglekar, and Nisarg Shah. “Average Case
Analysis of the Classical Algorithm for Markov Decision Processes with Büchi Objectives,”
18:461–73. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2012. https://doi.org/10.4230/LIPIcs.FSTTCS.2012.461.
ieee: 'K. Chatterjee, M. Joglekar, and N. Shah, “Average case analysis of the classical
algorithm for Markov decision processes with Büchi objectives,” presented at the
FSTTCS: Foundations of Software Technology and Theoretical Computer Science, Hyderabad,
India, 2012, vol. 18, pp. 461–473.'
ista: 'Chatterjee K, Joglekar M, Shah N. 2012. Average case analysis of the classical
algorithm for Markov decision processes with Büchi objectives. FSTTCS: Foundations
of Software Technology and Theoretical Computer Science, LIPIcs, vol. 18, 461–473.'
mla: Chatterjee, Krishnendu, et al. Average Case Analysis of the Classical Algorithm
for Markov Decision Processes with Büchi Objectives. Vol. 18, Schloss Dagstuhl
- Leibniz-Zentrum für Informatik, 2012, pp. 461–73, doi:10.4230/LIPIcs.FSTTCS.2012.461.
short: K. Chatterjee, M. Joglekar, N. Shah, in:, Schloss Dagstuhl - Leibniz-Zentrum
für Informatik, 2012, pp. 461–473.
conference:
end_date: 2012-12-17
location: Hyderabad, India
name: 'FSTTCS: Foundations of Software Technology and Theoretical Computer Science'
start_date: 2012-12-15
date_created: 2018-12-11T11:59:13Z
date_published: 2012-12-10T00:00:00Z
date_updated: 2023-02-23T10:06:04Z
day: '10'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.4230/LIPIcs.FSTTCS.2012.461
ec_funded: 1
file:
- access_level: open_access
checksum: d4d644ed1a885dbfc4fa1ef4c5724dab
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:13:53Z
date_updated: 2020-07-14T12:45:45Z
file_id: '5040'
file_name: IST-2016-525-v1+1_42_1_.pdf
file_size: 519040
relation: main_file
file_date_updated: 2020-07-14T12:45:45Z
has_accepted_license: '1'
intvolume: ' 18'
language:
- iso: eng
month: '12'
oa: 1
oa_version: Published Version
page: 461 - 473
project:
- _id: 2584A770-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P 23499-N23
name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11407
name: Game Theory
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '279307'
name: 'Quantitative Graph Games: Theory and Applications'
- _id: 2587B514-B435-11E9-9278-68D0E5697425
name: Microsoft Research Faculty Fellowship
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
publist_id: '4180'
pubrep_id: '525'
quality_controlled: '1'
related_material:
record:
- id: '1598'
relation: later_version
status: public
scopus_import: 1
status: public
title: Average case analysis of the classical algorithm for Markov decision processes
with Büchi objectives
tmp:
image: /images/cc_by_nc_nd.png
legal_code_url: https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode
name: Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
(CC BY-NC-ND 4.0)
short: CC BY-NC-ND (4.0)
type: conference
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 18
year: '2012'
...
---
_id: '10904'
abstract:
- lang: eng
text: Multi-dimensional mean-payoff and energy games provide the mathematical foundation
for the quantitative study of reactive systems, and play a central role in the
emerging quantitative theory of verification and synthesis. In this work, we study
the strategy synthesis problem for games with such multi-dimensional objectives
along with a parity condition, a canonical way to express ω-regular conditions.
While in general, the winning strategies in such games may require infinite memory,
for synthesis the most relevant problem is the construction of a finite-memory
winning strategy (if one exists). Our main contributions are as follows. First,
we show a tight exponential bound (matching upper and lower bounds) on the memory
required for finite-memory winning strategies in both multi-dimensional mean-payoff
and energy games along with parity objectives. This significantly improves the
triple exponential upper bound for multi energy games (without parity) that could
be derived from results in literature for games on VASS (vector addition systems
with states). Second, we present an optimal symbolic and incremental algorithm
to compute a finite-memory winning strategy (if one exists) in such games. Finally,
we give a complete characterization of when finite memory of strategies can be
traded off for randomness. In particular, we show that for one-dimension mean-payoff
parity games, randomized memoryless strategies are as powerful as their pure finite-memory
counterparts.
acknowledgement: 'Author supported by Austrian Science Fund (FWF) Grant No P 23499-N23,
FWF NFN Grant No S11407 (RiSE), ERC Start Grant (279307: Graph Games), Microsoft
faculty fellowship.'
alternative_title:
- LNCS
article_processing_charge: No
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Mickael
full_name: Randour, Mickael
last_name: Randour
- first_name: Jean-François
full_name: Raskin, Jean-François
last_name: Raskin
citation:
ama: 'Chatterjee K, Randour M, Raskin J-F. Strategy synthesis for multi-dimensional
quantitative objectives. In: Koutny M, Ulidowski I, eds. CONCUR 2012 - Concurrency
Theory. Vol 7454. Berlin, Heidelberg: Springer; 2012:115-131. doi:10.1007/978-3-642-32940-1_10'
apa: 'Chatterjee, K., Randour, M., & Raskin, J.-F. (2012). Strategy synthesis
for multi-dimensional quantitative objectives. In M. Koutny & I. Ulidowski
(Eds.), CONCUR 2012 - Concurrency Theory (Vol. 7454, pp. 115–131). Berlin,
Heidelberg: Springer. https://doi.org/10.1007/978-3-642-32940-1_10'
chicago: 'Chatterjee, Krishnendu, Mickael Randour, and Jean-François Raskin. “Strategy
Synthesis for Multi-Dimensional Quantitative Objectives.” In CONCUR 2012 -
Concurrency Theory, edited by Maciej Koutny and Irek Ulidowski, 7454:115–31.
Berlin, Heidelberg: Springer, 2012. https://doi.org/10.1007/978-3-642-32940-1_10.'
ieee: K. Chatterjee, M. Randour, and J.-F. Raskin, “Strategy synthesis for multi-dimensional
quantitative objectives,” in CONCUR 2012 - Concurrency Theory, Newcastle
upon Tyne, United Kingdom, 2012, vol. 7454, pp. 115–131.
ista: 'Chatterjee K, Randour M, Raskin J-F. 2012. Strategy synthesis for multi-dimensional
quantitative objectives. CONCUR 2012 - Concurrency Theory. CONCUR: Conference
on Concurrency Theory, LNCS, vol. 7454, 115–131.'
mla: Chatterjee, Krishnendu, et al. “Strategy Synthesis for Multi-Dimensional Quantitative
Objectives.” CONCUR 2012 - Concurrency Theory, edited by Maciej Koutny
and Irek Ulidowski, vol. 7454, Springer, 2012, pp. 115–31, doi:10.1007/978-3-642-32940-1_10.
short: K. Chatterjee, M. Randour, J.-F. Raskin, in:, M. Koutny, I. Ulidowski (Eds.),
CONCUR 2012 - Concurrency Theory, Springer, Berlin, Heidelberg, 2012, pp. 115–131.
conference:
end_date: 2012-09-07
location: Newcastle upon Tyne, United Kingdom
name: 'CONCUR: Conference on Concurrency Theory'
start_date: 2012-09-04
date_created: 2022-03-21T08:00:21Z
date_published: 2012-09-15T00:00:00Z
date_updated: 2023-02-23T10:55:06Z
day: '15'
department:
- _id: KrCh
doi: 10.1007/978-3-642-32940-1_10
ec_funded: 1
editor:
- first_name: Maciej
full_name: Koutny, Maciej
last_name: Koutny
- first_name: Irek
full_name: Ulidowski, Irek
last_name: Ulidowski
external_id:
arxiv:
- '1201.5073'
intvolume: ' 7454'
language:
- iso: eng
month: '09'
oa_version: Preprint
page: 115-131
place: Berlin, Heidelberg
project:
- _id: 2584A770-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P 23499-N23
name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11407
name: Game Theory
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '279307'
name: 'Quantitative Graph Games: Theory and Applications'
- _id: 2587B514-B435-11E9-9278-68D0E5697425
name: Microsoft Research Faculty Fellowship
publication: CONCUR 2012 - Concurrency Theory
publication_identifier:
eisbn:
- '9783642329401'
isbn:
- '9783642329395'
issn:
- 0302-9743
- 1611-3349
publication_status: published
publisher: Springer
quality_controlled: '1'
related_material:
record:
- id: '2716'
relation: later_version
status: public
scopus_import: '1'
status: public
title: Strategy synthesis for multi-dimensional quantitative objectives
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 7454
year: '2012'
...
---
_id: '2770'
abstract:
- lang: eng
text: 'Consider N×N Hermitian or symmetric random matrices H with independent entries,
where the distribution of the (i,j) matrix element is given by the probability
measure vij with zero expectation and with variance σ ιj 2. We assume that the
variances satisfy the normalization condition Σiσij2=1 for all j and that there
is a positive constant c such that c≤Nσ ιj 2 ιc -1. We further assume that the
probability distributions νij have a uniform subexponential decay. We prove that
the Stieltjes transform of the empirical eigenvalue distribution of H is given
by the Wigner semicircle law uniformly up to the edges of the spectrum with an
error of order (Nη) -1 where η is the imaginary part of the spectral parameter
in the Stieltjes transform. There are three corollaries to this strong local semicircle
law: (1) Rigidity of eigenvalues: If γj=γj,N denotes the classical location of
the j-th eigenvalue under the semicircle law ordered in increasing order, then
the j-th eigenvalue λj is close to γj in the sense that for some positive constants
C, c P{double-struck}(∃j:|λ j-γ j|≥(logN) CloglogN[min(j,N-j+1)] -1/3N -2/3)≤
C exp[-(logN) cloglogN] for N large enough. (2) The proof of Dyson''s conjecture
(Dyson, 1962 [15]) which states that the time scale of the Dyson Brownian motion
to reach local equilibrium is of order N -1 up to logarithmic corrections. (3)
The edge universality holds in the sense that the probability distributions of
the largest (and the smallest) eigenvalues of two generalized Wigner ensembles
are the same in the large N limit provided that the second moments of the two
ensembles are identical.'
author:
- first_name: László
full_name: László Erdös
id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
last_name: Erdös
orcid: 0000-0001-5366-9603
- first_name: Horng
full_name: Yau, Horng-Tzer
last_name: Yau
- first_name: Jun
full_name: Yin, Jun
last_name: Yin
citation:
ama: Erdös L, Yau H, Yin J. Rigidity of eigenvalues of generalized Wigner matrices.
Advances in Mathematics. 2012;229(3):1435-1515. doi:10.1016/j.aim.2011.12.010
apa: Erdös, L., Yau, H., & Yin, J. (2012). Rigidity of eigenvalues of generalized
Wigner matrices. Advances in Mathematics. Academic Press. https://doi.org/10.1016/j.aim.2011.12.010
chicago: Erdös, László, Horng Yau, and Jun Yin. “Rigidity of Eigenvalues of Generalized
Wigner Matrices.” Advances in Mathematics. Academic Press, 2012. https://doi.org/10.1016/j.aim.2011.12.010.
ieee: L. Erdös, H. Yau, and J. Yin, “Rigidity of eigenvalues of generalized Wigner
matrices,” Advances in Mathematics, vol. 229, no. 3. Academic Press, pp.
1435–1515, 2012.
ista: Erdös L, Yau H, Yin J. 2012. Rigidity of eigenvalues of generalized Wigner
matrices. Advances in Mathematics. 229(3), 1435–1515.
mla: Erdös, László, et al. “Rigidity of Eigenvalues of Generalized Wigner Matrices.”
Advances in Mathematics, vol. 229, no. 3, Academic Press, 2012, pp. 1435–515,
doi:10.1016/j.aim.2011.12.010.
short: L. Erdös, H. Yau, J. Yin, Advances in Mathematics 229 (2012) 1435–1515.
date_created: 2018-12-11T11:59:30Z
date_published: 2012-02-15T00:00:00Z
date_updated: 2021-01-12T06:59:35Z
day: '15'
doi: 10.1016/j.aim.2011.12.010
extern: 1
intvolume: ' 229'
issue: '3'
month: '02'
page: 1435 - 1515
publication: Advances in Mathematics
publication_status: published
publisher: Academic Press
publist_id: '4120'
quality_controlled: 0
status: public
title: Rigidity of eigenvalues of generalized Wigner matrices
type: journal_article
volume: 229
year: '2012'
...
---
_id: '2769'
abstract:
- lang: eng
text: We present a generalization of the method of the local relaxation flow to
establish the universality of local spectral statistics of a broad class of large
random matrices. We show that the local distribution of the eigenvalues coincides
with the local statistics of the corresponding Gaussian ensemble provided the
distribution of the individual matrix element is smooth and the eigenvalues {X
J} N j=1 are close to their classical location {y j} N j=1 determined by the limiting
density of eigenvalues. Under the scaling where the typical distance between neighboring
eigenvalues is of order 1/N, the necessary apriori estimate on the location of
eigenvalues requires only to know that E|x j - γ j| 2 ≤ N-1-ε on average. This
information can be obtained by well established methods for various matrix ensembles.
We demonstrate the method by proving local spectral universality for sample covariance
matrices.
author:
- first_name: László
full_name: László Erdös
id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
last_name: Erdös
orcid: 0000-0001-5366-9603
- first_name: Benjamin
full_name: Schlein, Benjamin
last_name: Schlein
- first_name: Horng
full_name: Yau, Horng-Tzer
last_name: Yau
- first_name: Jun
full_name: Yin, Jun
last_name: Yin
citation:
ama: Erdös L, Schlein B, Yau H, Yin J. The local relaxation flow approach to universality
of the local statistics for random matrices. Annales de l’institut Henri Poincare
(B) Probability and Statistics. 2012;48(1):1-46. doi:10.1214/10-AIHP388
apa: Erdös, L., Schlein, B., Yau, H., & Yin, J. (2012). The local relaxation
flow approach to universality of the local statistics for random matrices. Annales
de l’institut Henri Poincare (B) Probability and Statistics. Institute of
Mathematical Statistics. https://doi.org/10.1214/10-AIHP388
chicago: Erdös, László, Benjamin Schlein, Horng Yau, and Jun Yin. “The Local Relaxation
Flow Approach to Universality of the Local Statistics for Random Matrices.” Annales
de l’institut Henri Poincare (B) Probability and Statistics. Institute of
Mathematical Statistics, 2012. https://doi.org/10.1214/10-AIHP388.
ieee: L. Erdös, B. Schlein, H. Yau, and J. Yin, “The local relaxation flow approach
to universality of the local statistics for random matrices,” Annales de l’institut
Henri Poincare (B) Probability and Statistics, vol. 48, no. 1. Institute of
Mathematical Statistics, pp. 1–46, 2012.
ista: Erdös L, Schlein B, Yau H, Yin J. 2012. The local relaxation flow approach
to universality of the local statistics for random matrices. Annales de l’institut
Henri Poincare (B) Probability and Statistics. 48(1), 1–46.
mla: Erdös, László, et al. “The Local Relaxation Flow Approach to Universality of
the Local Statistics for Random Matrices.” Annales de l’institut Henri Poincare
(B) Probability and Statistics, vol. 48, no. 1, Institute of Mathematical
Statistics, 2012, pp. 1–46, doi:10.1214/10-AIHP388.
short: L. Erdös, B. Schlein, H. Yau, J. Yin, Annales de l’institut Henri Poincare
(B) Probability and Statistics 48 (2012) 1–46.
date_created: 2018-12-11T11:59:30Z
date_published: 2012-02-01T00:00:00Z
date_updated: 2021-01-12T06:59:34Z
day: '01'
doi: 10.1214/10-AIHP388
extern: 1
intvolume: ' 48'
issue: '1'
month: '02'
page: 1 - 46
publication: Annales de l'institut Henri Poincare (B) Probability and Statistics
publication_status: published
publisher: Institute of Mathematical Statistics
publist_id: '4121'
quality_controlled: 0
status: public
title: The local relaxation flow approach to universality of the local statistics
for random matrices
type: journal_article
volume: 48
year: '2012'
...
---
_id: '2767'
abstract:
- lang: eng
text: 'Consider N × N Hermitian or symmetric random matrices H where the distribution
of the (i, j) matrix element is given by a probability measure ν ij with a subexponential
decay. Let σ ij 2 be the variance for the probability measure ν ij with the normalization
property that Σ iσ i,j 2 = 1 for all j. Under essentially the only condition that
c ≤ N σ ij 2 ≤ c -1 for some constant c > 0, we prove that, in the limit N
→ ∞, the eigenvalue spacing statistics of H in the bulk of the spectrum coincide
with those of the Gaussian unitary or orthogonal ensemble (GUE or GOE). We also
show that for band matrices with bandwidth M the local semicircle law holds to
the energy scale M -1. '
author:
- first_name: László
full_name: László Erdös
id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
last_name: Erdös
orcid: 0000-0001-5366-9603
- first_name: Horng
full_name: Yau, Horng-Tzer
last_name: Yau
- first_name: Jun
full_name: Yin, Jun
last_name: Yin
citation:
ama: Erdös L, Yau H, Yin J. Bulk universality for generalized Wigner matrices. Probability
Theory and Related Fields. 2012;154(1-2):341-407. doi:10.1007/s00440-011-0390-3
apa: Erdös, L., Yau, H., & Yin, J. (2012). Bulk universality for generalized
Wigner matrices. Probability Theory and Related Fields. Springer. https://doi.org/10.1007/s00440-011-0390-3
chicago: Erdös, László, Horng Yau, and Jun Yin. “Bulk Universality for Generalized
Wigner Matrices.” Probability Theory and Related Fields. Springer, 2012.
https://doi.org/10.1007/s00440-011-0390-3.
ieee: L. Erdös, H. Yau, and J. Yin, “Bulk universality for generalized Wigner matrices,”
Probability Theory and Related Fields, vol. 154, no. 1–2. Springer, pp.
341–407, 2012.
ista: Erdös L, Yau H, Yin J. 2012. Bulk universality for generalized Wigner matrices.
Probability Theory and Related Fields. 154(1–2), 341–407.
mla: Erdös, László, et al. “Bulk Universality for Generalized Wigner Matrices.”
Probability Theory and Related Fields, vol. 154, no. 1–2, Springer, 2012,
pp. 341–407, doi:10.1007/s00440-011-0390-3.
short: L. Erdös, H. Yau, J. Yin, Probability Theory and Related Fields 154 (2012)
341–407.
date_created: 2018-12-11T11:59:29Z
date_published: 2012-10-01T00:00:00Z
date_updated: 2021-01-12T06:59:33Z
day: '01'
doi: 10.1007/s00440-011-0390-3
extern: 1
intvolume: ' 154'
issue: 1-2
month: '10'
page: 341 - 407
publication: Probability Theory and Related Fields
publication_status: published
publisher: Springer
publist_id: '4123'
quality_controlled: 0
status: public
title: Bulk universality for generalized Wigner matrices
type: journal_article
volume: 154
year: '2012'
...
---
_id: '2768'
abstract:
- lang: eng
text: We consider a two dimensional magnetic Schrödinger operator with a spatially
stationary random magnetic field. We assume that the magnetic field has a positive
lower bound and that it has Fourier modes on arbitrarily short scales. We prove
the Wegner estimate at arbitrary energy, i. e. we show that the averaged density
of states is finite throughout the whole spectrum. We also prove Anderson localization
at the bottom of the spectrum.
author:
- first_name: László
full_name: László Erdös
id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
last_name: Erdös
orcid: 0000-0001-5366-9603
- first_name: David
full_name: Hasler, David G
last_name: Hasler
citation:
ama: Erdös L, Hasler D. Wegner estimate and Anderson localization for random magnetic
fields. Communications in Mathematical Physics. 2012;309(2):507-542. doi:10.1007/s00220-011-1373-z
apa: Erdös, L., & Hasler, D. (2012). Wegner estimate and Anderson localization
for random magnetic fields. Communications in Mathematical Physics. Springer.
https://doi.org/10.1007/s00220-011-1373-z
chicago: Erdös, László, and David Hasler. “Wegner Estimate and Anderson Localization
for Random Magnetic Fields.” Communications in Mathematical Physics. Springer,
2012. https://doi.org/10.1007/s00220-011-1373-z.
ieee: L. Erdös and D. Hasler, “Wegner estimate and Anderson localization for random
magnetic fields,” Communications in Mathematical Physics, vol. 309, no.
2. Springer, pp. 507–542, 2012.
ista: Erdös L, Hasler D. 2012. Wegner estimate and Anderson localization for random
magnetic fields. Communications in Mathematical Physics. 309(2), 507–542.
mla: Erdös, László, and David Hasler. “Wegner Estimate and Anderson Localization
for Random Magnetic Fields.” Communications in Mathematical Physics, vol.
309, no. 2, Springer, 2012, pp. 507–42, doi:10.1007/s00220-011-1373-z.
short: L. Erdös, D. Hasler, Communications in Mathematical Physics 309 (2012) 507–542.
date_created: 2018-12-11T11:59:30Z
date_published: 2012-01-01T00:00:00Z
date_updated: 2021-01-12T06:59:34Z
day: '01'
doi: 10.1007/s00220-011-1373-z
extern: 1
intvolume: ' 309'
issue: '2'
month: '01'
page: 507 - 542
publication: Communications in Mathematical Physics
publication_status: published
publisher: Springer
publist_id: '4122'
quality_controlled: 0
status: public
title: Wegner estimate and Anderson localization for random magnetic fields
type: journal_article
volume: 309
year: '2012'
...
---
_id: '2775'
abstract:
- lang: eng
text: The Wigner-Dyson-Gaudin-Mehta conjecture asserts that the local eigenvalue
statistics of large random matrices exhibit universal behavior depending only
on the symmetry class of the matrix ensemble. For invariant matrix models, the
eigenvalue distributions are given by a log-gas with potential V and inverse temperature
β = 1, 2, 4, corresponding to the orthogonal, unitary and symplectic ensembles.
For β ∉ {1, 2, 4}, there is no natural random matrix ensemble behind this model,
but the statistical physics interpretation of the log-gas is still valid for all
β > 0. The universality conjecture for invariant ensembles asserts that the
local eigenvalue statistics are independent of V. In this article, we review our
recent solution to the universality conjecture for both invariant and non-invariant
ensembles. We will also demonstrate that the local ergodicity of the Dyson Brownian
motion is the intrinsic mechanism behind the universality. Furthermore, we review
the solution of Dyson's conjecture on the local relaxation time of the Dyson Brownian
motion. Related questions such as delocalization of eigenvectors and local version
of Wigner's semicircle law will also be discussed.
author:
- first_name: László
full_name: László Erdös
id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
last_name: Erdös
orcid: 0000-0001-5366-9603
- first_name: Horng
full_name: Yau, Horng-Tzer
last_name: Yau
citation:
ama: Erdös L, Yau H. Universality of local spectral statistics of random matrices.
Bulletin of the American Mathematical Society. 2012;49(3):377-414. doi:10.1090/S0273-0979-2012-01372-1
apa: Erdös, L., & Yau, H. (2012). Universality of local spectral statistics
of random matrices. Bulletin of the American Mathematical Society. American
Mathematical Society. https://doi.org/10.1090/S0273-0979-2012-01372-1
chicago: Erdös, László, and Horng Yau. “Universality of Local Spectral Statistics
of Random Matrices.” Bulletin of the American Mathematical Society. American
Mathematical Society, 2012. https://doi.org/10.1090/S0273-0979-2012-01372-1.
ieee: L. Erdös and H. Yau, “Universality of local spectral statistics of random
matrices,” Bulletin of the American Mathematical Society, vol. 49, no.
3. American Mathematical Society, pp. 377–414, 2012.
ista: Erdös L, Yau H. 2012. Universality of local spectral statistics of random
matrices. Bulletin of the American Mathematical Society. 49(3), 377–414.
mla: Erdös, László, and Horng Yau. “Universality of Local Spectral Statistics of
Random Matrices.” Bulletin of the American Mathematical Society, vol. 49,
no. 3, American Mathematical Society, 2012, pp. 377–414, doi:10.1090/S0273-0979-2012-01372-1.
short: L. Erdös, H. Yau, Bulletin of the American Mathematical Society 49 (2012)
377–414.
date_created: 2018-12-11T11:59:32Z
date_published: 2012-01-30T00:00:00Z
date_updated: 2021-01-12T06:59:36Z
day: '30'
doi: 10.1090/S0273-0979-2012-01372-1
extern: 1
intvolume: ' 49'
issue: '3'
month: '01'
page: 377 - 414
publication: Bulletin of the American Mathematical Society
publication_status: published
publisher: American Mathematical Society
publist_id: '4115'
quality_controlled: 0
status: public
title: Universality of local spectral statistics of random matrices
type: journal_article
volume: 49
year: '2012'
...
---
_id: '2777'
abstract:
- lang: eng
text: We consider a large neutral molecule with total nuclear charge Z in a model
with self-generated classical magnetic field and where the kinetic energy of the
electrons is treated relativistically. To ensure stability, we assume that Zα
< 2/π, where α denotes the fine structure constant. We are interested in the
ground state energy in the simultaneous limit Z → ∞, α → 0 such that κ = Zα is
fixed. The leading term in the energy asymptotics is independent of κ, it is given
by the Thomas-Fermi energy of order Z7/3 and it is unchanged by including the
self-generated magnetic field. We prove the first correction term to this energy,
the so-called Scott correction of the form S(αZ)Z2. The current paper extends
the result of Solovej et al. [Commun. Pure Appl. Math.LXIII, 39-118 (2010)] on
the Scott correction for relativistic molecules to include a self-generated magnetic
field. Furthermore, we show that the corresponding Scott correction function S,
first identified by Solovej et al. [Commun. Pure Appl. Math.LXIII, 39-118 (2010)],
is unchanged by including a magnetic field. We also prove new Lieb-Thirring inequalities
for the relativistic kinetic energy with magnetic fields.
author:
- first_name: László
full_name: László Erdös
id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
last_name: Erdös
orcid: 0000-0001-5366-9603
- first_name: Søren
full_name: Fournais, Søren
last_name: Fournais
- first_name: Jan
full_name: Solovej, Jan P
last_name: Solovej
citation:
ama: Erdös L, Fournais S, Solovej J. Relativistic Scott correction in self-generated
magnetic fields. Journal of Mathematical Physics. 2012;53(9). doi:10.1063/1.3697417
apa: Erdös, L., Fournais, S., & Solovej, J. (2012). Relativistic Scott correction
in self-generated magnetic fields. Journal of Mathematical Physics. American
Institute of Physics. https://doi.org/10.1063/1.3697417
chicago: Erdös, László, Søren Fournais, and Jan Solovej. “Relativistic Scott Correction
in Self-Generated Magnetic Fields.” Journal of Mathematical Physics. American
Institute of Physics, 2012. https://doi.org/10.1063/1.3697417.
ieee: L. Erdös, S. Fournais, and J. Solovej, “Relativistic Scott correction in self-generated
magnetic fields,” Journal of Mathematical Physics, vol. 53, no. 9. American
Institute of Physics, 2012.
ista: Erdös L, Fournais S, Solovej J. 2012. Relativistic Scott correction in self-generated
magnetic fields. Journal of Mathematical Physics. 53(9).
mla: Erdös, László, et al. “Relativistic Scott Correction in Self-Generated Magnetic
Fields.” Journal of Mathematical Physics, vol. 53, no. 9, American Institute
of Physics, 2012, doi:10.1063/1.3697417.
short: L. Erdös, S. Fournais, J. Solovej, Journal of Mathematical Physics 53 (2012).
date_created: 2018-12-11T11:59:32Z
date_published: 2012-09-28T00:00:00Z
date_updated: 2021-01-12T06:59:37Z
day: '28'
doi: 10.1063/1.3697417
extern: 1
intvolume: ' 53'
issue: '9'
month: '09'
publication: Journal of Mathematical Physics
publication_status: published
publisher: American Institute of Physics
publist_id: '4113'
quality_controlled: 0
status: public
title: Relativistic Scott correction in self-generated magnetic fields
type: journal_article
volume: 53
year: '2012'
...
---
_id: '2772'
abstract:
- lang: eng
text: We consider the semiclassical asymptotics of the sum of negative eigenvalues
of the three-dimensional Pauli operator with an external potential and a self-generated
magnetic field B. We also add the field energy β ∫ B 2 and we minimize over all
magnetic fields. The parameter β effectively determines the strength of the field.
We consider the weak field regime with βh 2 ≥ const > 0, where h is the semiclassical
parameter. For smooth potentials we prove that the semiclassical asymptotics of
the total energy is given by the non-magnetic Weyl term to leading order with
an error bound that is smaller by a factor h 1+e{open}, i. e. the subleading term
vanishes. However for potentials with a Coulomb singularity, the subleading term
does not vanish due to the non-semiclassical effect of the singularity. Combined
with a multiscale technique, this refined estimate is used in the companion paper
(Erdo{double acute}s et al. in Scott correction for large molecules with a self-generated
magnetic field, Preprint, 2011) to prove the second order Scott correction to
the ground state energy of large atoms and molecules.
author:
- first_name: László
full_name: László Erdös
id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
last_name: Erdös
orcid: 0000-0001-5366-9603
- first_name: Søren
full_name: Fournais, Søren
last_name: Fournais
- first_name: Jan
full_name: Solovej, Jan P
last_name: Solovej
citation:
ama: Erdös L, Fournais S, Solovej J. Second order semiclassics with self generated
magnetic fields. Annales Henri Poincare. 2012;13(4):671-730. doi:10.1007/s00023-011-0150-z
apa: Erdös, L., Fournais, S., & Solovej, J. (2012). Second order semiclassics
with self generated magnetic fields. Annales Henri Poincare. Birkhäuser.
https://doi.org/10.1007/s00023-011-0150-z
chicago: Erdös, László, Søren Fournais, and Jan Solovej. “Second Order Semiclassics
with Self Generated Magnetic Fields.” Annales Henri Poincare. Birkhäuser,
2012. https://doi.org/10.1007/s00023-011-0150-z.
ieee: L. Erdös, S. Fournais, and J. Solovej, “Second order semiclassics with self
generated magnetic fields,” Annales Henri Poincare, vol. 13, no. 4. Birkhäuser,
pp. 671–730, 2012.
ista: Erdös L, Fournais S, Solovej J. 2012. Second order semiclassics with self
generated magnetic fields. Annales Henri Poincare. 13(4), 671–730.
mla: Erdös, László, et al. “Second Order Semiclassics with Self Generated Magnetic
Fields.” Annales Henri Poincare, vol. 13, no. 4, Birkhäuser, 2012, pp.
671–730, doi:10.1007/s00023-011-0150-z.
short: L. Erdös, S. Fournais, J. Solovej, Annales Henri Poincare 13 (2012) 671–730.
date_created: 2018-12-11T11:59:31Z
date_published: 2012-05-01T00:00:00Z
date_updated: 2021-01-12T06:59:36Z
day: '01'
doi: 10.1007/s00023-011-0150-z
extern: 1
intvolume: ' 13'
issue: '4'
month: '05'
page: 671 - 730
publication: Annales Henri Poincare
publication_status: published
publisher: Birkhäuser
publist_id: '4118'
quality_controlled: 0
status: public
title: Second order semiclassics with self generated magnetic fields
type: journal_article
volume: 13
year: '2012'
...
---
_id: '2776'
abstract:
- lang: eng
text: We consider the ensemble of adjacency matrices of Erdős-Rényi random graphs,
i.e. graphs on N vertices where every edge is chosen independently and with probability
p ≡ p(N). We rescale the matrix so that its bulk eigenvalues are of order one.
Under the assumption pN≫N2/3 , we prove the universality of eigenvalue distributions
both in the bulk and at the edge of the spectrum. More precisely, we prove (1)
that the eigenvalue spacing of the Erdős-Rényi graph in the bulk of the spectrum
has the same distribution as that of the Gaussian orthogonal ensemble; and (2)
that the second largest eigenvalue of the Erdős-Rényi graph has the same distribution
as the largest eigenvalue of the Gaussian orthogonal ensemble. As an application
of our method, we prove the bulk universality of generalized Wigner matrices under
the assumption that the matrix entries have at least 4 + ε moments.
author:
- first_name: László
full_name: László Erdös
id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
last_name: Erdös
orcid: 0000-0001-5366-9603
- first_name: Antti
full_name: Knowles, Antti
last_name: Knowles
- first_name: Horng
full_name: Yau, Horng-Tzer
last_name: Yau
- first_name: Jun
full_name: Yin, Jun
last_name: Yin
citation:
ama: 'Erdös L, Knowles A, Yau H, Yin J. Spectral statistics of Erdős-Rényi graphs
II: Eigenvalue spacing and the extreme eigenvalues. Communications in Mathematical
Physics. 2012;314(3):587-640. doi:10.1007/s00220-012-1527-7'
apa: 'Erdös, L., Knowles, A., Yau, H., & Yin, J. (2012). Spectral statistics
of Erdős-Rényi graphs II: Eigenvalue spacing and the extreme eigenvalues. Communications
in Mathematical Physics. Springer. https://doi.org/10.1007/s00220-012-1527-7'
chicago: 'Erdös, László, Antti Knowles, Horng Yau, and Jun Yin. “Spectral Statistics
of Erdős-Rényi Graphs II: Eigenvalue Spacing and the Extreme Eigenvalues.” Communications
in Mathematical Physics. Springer, 2012. https://doi.org/10.1007/s00220-012-1527-7.'
ieee: 'L. Erdös, A. Knowles, H. Yau, and J. Yin, “Spectral statistics of Erdős-Rényi
graphs II: Eigenvalue spacing and the extreme eigenvalues,” Communications
in Mathematical Physics, vol. 314, no. 3. Springer, pp. 587–640, 2012.'
ista: 'Erdös L, Knowles A, Yau H, Yin J. 2012. Spectral statistics of Erdős-Rényi
graphs II: Eigenvalue spacing and the extreme eigenvalues. Communications in Mathematical
Physics. 314(3), 587–640.'
mla: 'Erdös, László, et al. “Spectral Statistics of Erdős-Rényi Graphs II: Eigenvalue
Spacing and the Extreme Eigenvalues.” Communications in Mathematical Physics,
vol. 314, no. 3, Springer, 2012, pp. 587–640, doi:10.1007/s00220-012-1527-7.'
short: L. Erdös, A. Knowles, H. Yau, J. Yin, Communications in Mathematical Physics
314 (2012) 587–640.
date_created: 2018-12-11T11:59:32Z
date_published: 2012-09-01T00:00:00Z
date_updated: 2021-01-12T06:59:37Z
day: '01'
doi: 10.1007/s00220-012-1527-7
extern: 1
intvolume: ' 314'
issue: '3'
month: '09'
page: 587 - 640
publication: Communications in Mathematical Physics
publication_status: published
publisher: Springer
publist_id: '4114'
quality_controlled: 0
status: public
title: 'Spectral statistics of Erdős-Rényi graphs II: Eigenvalue spacing and the extreme
eigenvalues'
type: journal_article
volume: 314
year: '2012'
...
---
_id: '2774'
abstract:
- lang: eng
text: We consider a large neutral molecule with total nuclear charge Z in non-relativistic
quantum mechanics with a self-generated classical electromagnetic field. To ensure
stability, we assume that Zα 2 ≤ κ 0 for a sufficiently small κ 0, where α denotes
the fine structure constant. We show that, in the simultaneous limit Z → ∞, α
→ 0 such that κ = Zα 2 is fixed, the ground state energy of the system is given
by a two term expansion c 1Z 7/3 + c 2(κ) Z 2 + o(Z 2). The leading term is given
by the non-magnetic Thomas-Fermi theory. Our result shows that the magnetic field
affects only the second (so-called Scott) term in the expansion.
author:
- first_name: László
full_name: László Erdös
id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
last_name: Erdös
orcid: 0000-0001-5366-9603
- first_name: Søren
full_name: Fournais, Søren
last_name: Fournais
- first_name: Jan
full_name: Solovej, Jan P
last_name: Solovej
citation:
ama: Erdös L, Fournais S, Solovej J. Scott correction for large atoms and molecules
in a self-generated magnetic field. Communications in Mathematical Physics.
2012;312(3):847-882. doi:10.1007/s00220-012-1468-1
apa: Erdös, L., Fournais, S., & Solovej, J. (2012). Scott correction for large
atoms and molecules in a self-generated magnetic field. Communications in Mathematical
Physics. Springer. https://doi.org/10.1007/s00220-012-1468-1
chicago: Erdös, László, Søren Fournais, and Jan Solovej. “Scott Correction for Large
Atoms and Molecules in a Self-Generated Magnetic Field.” Communications in
Mathematical Physics. Springer, 2012. https://doi.org/10.1007/s00220-012-1468-1.
ieee: L. Erdös, S. Fournais, and J. Solovej, “Scott correction for large atoms and
molecules in a self-generated magnetic field,” Communications in Mathematical
Physics, vol. 312, no. 3. Springer, pp. 847–882, 2012.
ista: Erdös L, Fournais S, Solovej J. 2012. Scott correction for large atoms and
molecules in a self-generated magnetic field. Communications in Mathematical Physics.
312(3), 847–882.
mla: Erdös, László, et al. “Scott Correction for Large Atoms and Molecules in a
Self-Generated Magnetic Field.” Communications in Mathematical Physics,
vol. 312, no. 3, Springer, 2012, pp. 847–82, doi:10.1007/s00220-012-1468-1.
short: L. Erdös, S. Fournais, J. Solovej, Communications in Mathematical Physics
312 (2012) 847–882.
date_created: 2018-12-11T11:59:31Z
date_published: 2012-06-01T00:00:00Z
date_updated: 2021-01-12T06:59:36Z
day: '01'
doi: 10.1007/s00220-012-1468-1
extern: 1
intvolume: ' 312'
issue: '3'
month: '06'
page: 847 - 882
publication: Communications in Mathematical Physics
publication_status: published
publisher: Springer
publist_id: '4116'
quality_controlled: 0
status: public
title: Scott correction for large atoms and molecules in a self-generated magnetic
field
type: journal_article
volume: 312
year: '2012'
...