--- _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' ...