---
_id: '9550'
abstract:
- lang: eng
text: 'We prove that the energy of any eigenvector of a sum of several independent
large Wigner matrices is equally distributed among these matrices with very high
precision. This shows a particularly strong microcanonical form of the equipartition
principle for quantum systems whose components are modelled by Wigner matrices. '
acknowledgement: The first author is supported in part by Hong Kong RGC Grant GRF
16301519 and NSFC 11871425. The second author is supported in part by ERC Advanced
Grant RANMAT 338804. The third author is supported in part by Swedish Research Council
Grant VR-2017-05195 and the Knut and Alice Wallenberg Foundation
article_number: e44
article_processing_charge: No
article_type: original
author:
- first_name: Zhigang
full_name: Bao, Zhigang
id: 442E6A6C-F248-11E8-B48F-1D18A9856A87
last_name: Bao
orcid: 0000-0003-3036-1475
- first_name: László
full_name: Erdös, László
id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
last_name: Erdös
orcid: 0000-0001-5366-9603
- first_name: Kevin
full_name: Schnelli, Kevin
id: 434AD0AE-F248-11E8-B48F-1D18A9856A87
last_name: Schnelli
orcid: 0000-0003-0954-3231
citation:
ama: Bao Z, Erdös L, Schnelli K. Equipartition principle for Wigner matrices. Forum
of Mathematics, Sigma. 2021;9. doi:10.1017/fms.2021.38
apa: Bao, Z., Erdös, L., & Schnelli, K. (2021). Equipartition principle for
Wigner matrices. Forum of Mathematics, Sigma. Cambridge University Press.
https://doi.org/10.1017/fms.2021.38
chicago: Bao, Zhigang, László Erdös, and Kevin Schnelli. “Equipartition Principle
for Wigner Matrices.” Forum of Mathematics, Sigma. Cambridge University
Press, 2021. https://doi.org/10.1017/fms.2021.38.
ieee: Z. Bao, L. Erdös, and K. Schnelli, “Equipartition principle for Wigner matrices,”
Forum of Mathematics, Sigma, vol. 9. Cambridge University Press, 2021.
ista: Bao Z, Erdös L, Schnelli K. 2021. Equipartition principle for Wigner matrices.
Forum of Mathematics, Sigma. 9, e44.
mla: Bao, Zhigang, et al. “Equipartition Principle for Wigner Matrices.” Forum
of Mathematics, Sigma, vol. 9, e44, Cambridge University Press, 2021, doi:10.1017/fms.2021.38.
short: Z. Bao, L. Erdös, K. Schnelli, Forum of Mathematics, Sigma 9 (2021).
date_created: 2021-06-13T22:01:33Z
date_published: 2021-05-27T00:00:00Z
date_updated: 2023-08-08T14:03:40Z
day: '27'
ddc:
- '510'
department:
- _id: LaEr
doi: 10.1017/fms.2021.38
ec_funded: 1
external_id:
arxiv:
- '2008.07061'
isi:
- '000654960800001'
file:
- access_level: open_access
checksum: 47c986578de132200d41e6d391905519
content_type: application/pdf
creator: cziletti
date_created: 2021-06-15T14:40:45Z
date_updated: 2021-06-15T14:40:45Z
file_id: '9555'
file_name: 2021_ForumMath_Bao.pdf
file_size: 483458
relation: main_file
success: 1
file_date_updated: 2021-06-15T14:40:45Z
has_accepted_license: '1'
intvolume: ' 9'
isi: 1
language:
- iso: eng
license: https://creativecommons.org/licenses/by/4.0/
month: '05'
oa: 1
oa_version: Published Version
project:
- _id: 258DCDE6-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '338804'
name: Random matrices, universality and disordered quantum systems
publication: Forum of Mathematics, Sigma
publication_identifier:
eissn:
- '20505094'
publication_status: published
publisher: Cambridge University Press
quality_controlled: '1'
scopus_import: '1'
status: public
title: Equipartition principle for Wigner matrices
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 9
year: '2021'
...
---
_id: '9570'
abstract:
- lang: eng
text: We present conductance-matrix measurements in long, three-terminal hybrid
superconductor-semiconductor nanowires, and compare with theoretical predictions
of a magnetic-field-driven, topological quantum phase transition. By examining
the nonlocal conductance, we identify the closure of the excitation gap in the
bulk of the semiconductor before the emergence of zero-bias peaks, ruling out
spurious gap-closure signatures from localized states. We observe that after the
gap closes, nonlocal signals and zero-bias peaks fluctuate strongly at both ends,
inconsistent with a simple picture of clean topological superconductivity.
acknowledgement: We acknowledge insightful discussions with K. Flensberg, E. B. Hansen,
T. Karzig, R. Lutchyn, D. Pikulin, E. Prada, and R. Aguado. This work was supported
by Microsoft Project Q and the Danmarks Grundforskningsfond. C.M.M. acknowledges
support from the Villum Fonden. A.P.H. and L.C. contributed equally to this work.
article_number: '235201'
article_processing_charge: No
article_type: original
author:
- first_name: Denise
full_name: Puglia, Denise
id: 4D495994-AE37-11E9-AC72-31CAE5697425
last_name: Puglia
- first_name: E. A.
full_name: Martinez, E. A.
last_name: Martinez
- first_name: G. C.
full_name: Ménard, G. C.
last_name: Ménard
- first_name: A.
full_name: Pöschl, A.
last_name: Pöschl
- first_name: S.
full_name: Gronin, S.
last_name: Gronin
- first_name: G. C.
full_name: Gardner, G. C.
last_name: Gardner
- first_name: R.
full_name: Kallaher, R.
last_name: Kallaher
- first_name: M. J.
full_name: Manfra, M. J.
last_name: Manfra
- first_name: C. M.
full_name: Marcus, C. M.
last_name: Marcus
- first_name: Andrew P
full_name: Higginbotham, Andrew P
id: 4AD6785A-F248-11E8-B48F-1D18A9856A87
last_name: Higginbotham
orcid: 0000-0003-2607-2363
- first_name: L.
full_name: Casparis, L.
last_name: Casparis
citation:
ama: Puglia D, Martinez EA, Ménard GC, et al. Closing of the induced gap in a hybrid
superconductor-semiconductor nanowire. Physical Review B. 2021;103(23).
doi:10.1103/PhysRevB.103.235201
apa: Puglia, D., Martinez, E. A., Ménard, G. C., Pöschl, A., Gronin, S., Gardner,
G. C., … Casparis, L. (2021). Closing of the induced gap in a hybrid superconductor-semiconductor
nanowire. Physical Review B. American Physical Society. https://doi.org/10.1103/PhysRevB.103.235201
chicago: Puglia, Denise, E. A. Martinez, G. C. Ménard, A. Pöschl, S. Gronin, G.
C. Gardner, R. Kallaher, et al. “Closing of the Induced Gap in a Hybrid Superconductor-Semiconductor
Nanowire.” Physical Review B. American Physical Society, 2021. https://doi.org/10.1103/PhysRevB.103.235201.
ieee: D. Puglia et al., “Closing of the induced gap in a hybrid superconductor-semiconductor
nanowire,” Physical Review B, vol. 103, no. 23. American Physical Society,
2021.
ista: Puglia D, Martinez EA, Ménard GC, Pöschl A, Gronin S, Gardner GC, Kallaher
R, Manfra MJ, Marcus CM, Higginbotham AP, Casparis L. 2021. Closing of the induced
gap in a hybrid superconductor-semiconductor nanowire. Physical Review B. 103(23),
235201.
mla: Puglia, Denise, et al. “Closing of the Induced Gap in a Hybrid Superconductor-Semiconductor
Nanowire.” Physical Review B, vol. 103, no. 23, 235201, American Physical
Society, 2021, doi:10.1103/PhysRevB.103.235201.
short: D. Puglia, E.A. Martinez, G.C. Ménard, A. Pöschl, S. Gronin, G.C. Gardner,
R. Kallaher, M.J. Manfra, C.M. Marcus, A.P. Higginbotham, L. Casparis, Physical
Review B 103 (2021).
date_created: 2021-06-20T22:01:33Z
date_published: 2021-06-15T00:00:00Z
date_updated: 2023-08-08T14:08:08Z
day: '15'
department:
- _id: AnHi
doi: 10.1103/PhysRevB.103.235201
external_id:
arxiv:
- '2006.01275'
isi:
- '000661512500002'
intvolume: ' 103'
isi: 1
issue: '23'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/2006.01275
month: '06'
oa: 1
oa_version: Preprint
publication: Physical Review B
publication_identifier:
eissn:
- '24699969'
issn:
- '24699950'
publication_status: published
publisher: American Physical Society
quality_controlled: '1'
related_material:
record:
- id: '13080'
relation: research_data
status: public
scopus_import: '1'
status: public
title: Closing of the induced gap in a hybrid superconductor-semiconductor nanowire
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 103
year: '2021'
...
---
_id: '9548'
abstract:
- lang: eng
text: 'We extend the notion of the minimal volume ellipsoid containing a convex
body in Rd to the setting of logarithmically concave functions. We consider a
vast class of logarithmically concave functions whose superlevel sets are concentric
ellipsoids. For a fixed function from this class, we consider the set of all its
“affine” positions. For any log-concave function f on Rd, we consider functions
belonging to this set of “affine” positions, and find the one with the minimal
integral under the condition that it is pointwise greater than or equal to f.
We study the properties of existence and uniqueness of the solution to this problem.
For any s∈[0,+∞), we consider the construction dual to the recently defined John
s-function (Ivanov and Naszódi in Functional John ellipsoids. arXiv preprint:
arXiv:2006.09934, 2020). We prove that such a construction determines a unique
function and call it the Löwner s-function of f. We study the Löwner s-functions
as s tends to zero and to infinity. Finally, extending the notion of the outer
volume ratio, we define the outer integral ratio of a log-concave function and
give an asymptotically tight bound on it.'
acknowledgement: The authors acknowledge the support of the grant of the Russian Government
N 075-15-2019-1926.
article_processing_charge: No
article_type: original
author:
- first_name: Grigory
full_name: Ivanov, Grigory
id: 87744F66-5C6F-11EA-AFE0-D16B3DDC885E
last_name: Ivanov
- first_name: Igor
full_name: Tsiutsiurupa, Igor
last_name: Tsiutsiurupa
citation:
ama: Ivanov G, Tsiutsiurupa I. Functional Löwner ellipsoids. Journal of Geometric
Analysis. 2021;31:11493-11528. doi:10.1007/s12220-021-00691-4
apa: Ivanov, G., & Tsiutsiurupa, I. (2021). Functional Löwner ellipsoids. Journal
of Geometric Analysis. Springer. https://doi.org/10.1007/s12220-021-00691-4
chicago: Ivanov, Grigory, and Igor Tsiutsiurupa. “Functional Löwner Ellipsoids.”
Journal of Geometric Analysis. Springer, 2021. https://doi.org/10.1007/s12220-021-00691-4.
ieee: G. Ivanov and I. Tsiutsiurupa, “Functional Löwner ellipsoids,” Journal
of Geometric Analysis, vol. 31. Springer, pp. 11493–11528, 2021.
ista: Ivanov G, Tsiutsiurupa I. 2021. Functional Löwner ellipsoids. Journal of Geometric
Analysis. 31, 11493–11528.
mla: Ivanov, Grigory, and Igor Tsiutsiurupa. “Functional Löwner Ellipsoids.” Journal
of Geometric Analysis, vol. 31, Springer, 2021, pp. 11493–528, doi:10.1007/s12220-021-00691-4.
short: G. Ivanov, I. Tsiutsiurupa, Journal of Geometric Analysis 31 (2021) 11493–11528.
date_created: 2021-06-13T22:01:32Z
date_published: 2021-05-31T00:00:00Z
date_updated: 2023-08-08T14:04:49Z
day: '31'
department:
- _id: UlWa
doi: 10.1007/s12220-021-00691-4
external_id:
arxiv:
- '2008.09543'
isi:
- '000656507500001'
intvolume: ' 31'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/2008.09543
month: '05'
oa: 1
oa_version: Preprint
page: 11493-11528
publication: Journal of Geometric Analysis
publication_identifier:
eissn:
- 1559-002X
issn:
- 1050-6926
publication_status: published
publisher: Springer
quality_controlled: '1'
scopus_import: '1'
status: public
title: Functional Löwner ellipsoids
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 31
year: '2021'
...
---
_id: '13080'
abstract:
- lang: eng
text: "Data for the manuscript 'Closing of the Induced Gap in a Hybrid Superconductor-Semiconductor
Nanowire' ([2006.01275] Closing of the Induced Gap in a Hybrid Superconductor-Semiconductor
Nanowire (arxiv.org))\r\n\r\nWe upload a pdf with extended data sets, and the
raw data for these extended datasets as well."
article_processing_charge: No
author:
- first_name: Denise
full_name: Puglia, Denise
id: 4D495994-AE37-11E9-AC72-31CAE5697425
last_name: Puglia
- first_name: Esteban
full_name: Martinez, Esteban
last_name: Martinez
- first_name: Gerbold
full_name: Menard, Gerbold
last_name: Menard
- first_name: Andreas
full_name: Pöschl, Andreas
last_name: Pöschl
- first_name: Sergei
full_name: Gronin, Sergei
last_name: Gronin
- first_name: Geoffrey
full_name: Gardner, Geoffrey
last_name: Gardner
- first_name: Ray
full_name: Kallaher, Ray
last_name: Kallaher
- first_name: Michael
full_name: Manfra, Michael
last_name: Manfra
- first_name: Charles
full_name: Marcus, Charles
last_name: Marcus
- first_name: Andrew P
full_name: Higginbotham, Andrew P
id: 4AD6785A-F248-11E8-B48F-1D18A9856A87
last_name: Higginbotham
orcid: 0000-0003-2607-2363
- first_name: Lucas
full_name: Casparis, Lucas
last_name: Casparis
citation:
ama: Puglia D, Martinez E, Menard G, et al. Data for ’Closing of the Induced Gap
in a Hybrid Superconductor-Semiconductor Nanowire. 2021. doi:10.5281/ZENODO.4592435
apa: Puglia, D., Martinez, E., Menard, G., Pöschl, A., Gronin, S., Gardner, G.,
… Casparis, L. (2021). Data for ’Closing of the Induced Gap in a Hybrid Superconductor-Semiconductor
Nanowire. Zenodo. https://doi.org/10.5281/ZENODO.4592435
chicago: Puglia, Denise, Esteban Martinez, Gerbold Menard, Andreas Pöschl, Sergei
Gronin, Geoffrey Gardner, Ray Kallaher, et al. “Data for ’Closing of the Induced
Gap in a Hybrid Superconductor-Semiconductor Nanowire.” Zenodo, 2021. https://doi.org/10.5281/ZENODO.4592435.
ieee: D. Puglia et al., “Data for ’Closing of the Induced Gap in a Hybrid
Superconductor-Semiconductor Nanowire.” Zenodo, 2021.
ista: Puglia D, Martinez E, Menard G, Pöschl A, Gronin S, Gardner G, Kallaher R,
Manfra M, Marcus C, Higginbotham AP, Casparis L. 2021. Data for ’Closing of the
Induced Gap in a Hybrid Superconductor-Semiconductor Nanowire, Zenodo, 10.5281/ZENODO.4592435.
mla: Puglia, Denise, et al. Data for ’Closing of the Induced Gap in a Hybrid
Superconductor-Semiconductor Nanowire. Zenodo, 2021, doi:10.5281/ZENODO.4592435.
short: D. Puglia, E. Martinez, G. Menard, A. Pöschl, S. Gronin, G. Gardner, R. Kallaher,
M. Manfra, C. Marcus, A.P. Higginbotham, L. Casparis, (2021).
date_created: 2023-05-23T17:11:28Z
date_published: 2021-03-09T00:00:00Z
date_updated: 2023-08-08T14:08:07Z
day: '09'
ddc:
- '530'
department:
- _id: AnHi
doi: 10.5281/ZENODO.4592435
main_file_link:
- open_access: '1'
url: https://doi.org/10.5281/zenodo.4592460
month: '03'
oa: 1
oa_version: Published Version
publisher: Zenodo
related_material:
link:
- relation: software
url: https://github.com/caslu85/Induced-Gap-Closing-Shared/tree/1.1.3
record:
- id: '9570'
relation: used_in_publication
status: public
status: public
title: Data for 'Closing of the Induced Gap in a Hybrid Superconductor-Semiconductor
Nanowire
type: research_data_reference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2021'
...
---
_id: '9569'
abstract:
- lang: eng
text: We report the synthesis and characterization of graphene functionalized with
iron (Fe3+) oxide (G-Fe3O4) nanohybrids for radio-frequency magnetic hyperthermia
application. We adopted the wet chemical procedure, using various contents of
Fe3O4 (magnetite) from 0–100% for making two-dimensional graphene–Fe3O4 nanohybrids.
The homogeneous dispersal of Fe3O4 nanoparticles decorated on the graphene surface
combined with their biocompatibility and high thermal conductivity make them an
excellent material for magnetic hyperthermia. The morphological and magnetic properties
of the nanohybrids were studied using scanning electron microscopy (SEM) and a
vibrating sample magnetometer (VSM), respectively. The smart magnetic platforms
were exposed to an alternating current (AC) magnetic field of 633 kHz and of strength
9.1 mT for studying their hyperthermic performance. The localized antitumor effects
were investigated with artificial neural network modeling. A neural net time-series
model was developed for the assessment of the best nanohybrid composition to serve
the purpose with an accuracy close to 100%. Six Nonlinear Autoregressive with
External Input (NARX) models were obtained, one for each of the components. The
assessment of the accuracy of the predicted results has been done on the basis
of Mean Squared Error (MSE). The highest Mean Squared Error value was obtained
for the nanohybrid containing 45% magnetite and 55% graphene (F45G55) in the training
phase i.e., 0.44703, which is where the model achieved optimal results after 71
epochs. The F45G55 nanohybrid was found to be the best for hyperthermia applications
in low dosage with the highest specific absorption rate (SAR) and mean squared
error values.
acknowledgement: The research is funded by Higher Education Commission (HEC) Pakistan
under start-up research grant program (SRGP) Project no. 2454.
article_processing_charge: No
article_type: original
author:
- first_name: M. S.
full_name: Dar, M. S.
last_name: Dar
- first_name: Khush Bakhat
full_name: Akram, Khush Bakhat
last_name: Akram
- first_name: Ayesha
full_name: Sohail, Ayesha
last_name: Sohail
- first_name: Fatima
full_name: Arif, Fatima
last_name: Arif
- first_name: Fatemeh
full_name: Zabihi, Fatemeh
last_name: Zabihi
- first_name: Shengyuan
full_name: Yang, Shengyuan
last_name: Yang
- first_name: Shamsa
full_name: Munir, Shamsa
last_name: Munir
- first_name: Meifang
full_name: Zhu, Meifang
last_name: Zhu
- first_name: M.
full_name: Abid, M.
last_name: Abid
- first_name: Muhammad
full_name: Nauman, Muhammad
id: 32c21954-2022-11eb-9d5f-af9f93c24e71
last_name: Nauman
orcid: 0000-0002-2111-4846
citation:
ama: Dar MS, Akram KB, Sohail A, et al. Heat induction in two-dimensional graphene–Fe3O4
nanohybrids for magnetic hyperthermia applications with artificial neural network
modeling. RSC Advances. 2021;11(35):21702-21715. doi:10.1039/d1ra03428f
apa: Dar, M. S., Akram, K. B., Sohail, A., Arif, F., Zabihi, F., Yang, S., … Nauman,
M. (2021). Heat induction in two-dimensional graphene–Fe3O4 nanohybrids for magnetic
hyperthermia applications with artificial neural network modeling. RSC Advances.
Royal Society of Chemistry. https://doi.org/10.1039/d1ra03428f
chicago: Dar, M. S., Khush Bakhat Akram, Ayesha Sohail, Fatima Arif, Fatemeh Zabihi,
Shengyuan Yang, Shamsa Munir, Meifang Zhu, M. Abid, and Muhammad Nauman. “Heat
Induction in Two-Dimensional Graphene–Fe3O4 Nanohybrids for Magnetic Hyperthermia
Applications with Artificial Neural Network Modeling.” RSC Advances. Royal
Society of Chemistry, 2021. https://doi.org/10.1039/d1ra03428f.
ieee: M. S. Dar et al., “Heat induction in two-dimensional graphene–Fe3O4
nanohybrids for magnetic hyperthermia applications with artificial neural network
modeling,” RSC Advances, vol. 11, no. 35. Royal Society of Chemistry, pp.
21702–21715, 2021.
ista: Dar MS, Akram KB, Sohail A, Arif F, Zabihi F, Yang S, Munir S, Zhu M, Abid
M, Nauman M. 2021. Heat induction in two-dimensional graphene–Fe3O4 nanohybrids
for magnetic hyperthermia applications with artificial neural network modeling.
RSC Advances. 11(35), 21702–21715.
mla: Dar, M. S., et al. “Heat Induction in Two-Dimensional Graphene–Fe3O4 Nanohybrids
for Magnetic Hyperthermia Applications with Artificial Neural Network Modeling.”
RSC Advances, vol. 11, no. 35, Royal Society of Chemistry, 2021, pp. 21702–15,
doi:10.1039/d1ra03428f.
short: M.S. Dar, K.B. Akram, A. Sohail, F. Arif, F. Zabihi, S. Yang, S. Munir, M.
Zhu, M. Abid, M. Nauman, RSC Advances 11 (2021) 21702–21715.
date_created: 2021-06-19T07:27:45Z
date_published: 2021-06-18T00:00:00Z
date_updated: 2023-08-08T14:23:21Z
day: '18'
ddc:
- '540'
department:
- _id: KiMo
doi: 10.1039/d1ra03428f
external_id:
isi:
- '000665644000048'
file:
- access_level: open_access
checksum: cd582d67ace7151078e46b3a896871a9
content_type: application/pdf
creator: asandaue
date_created: 2021-06-23T13:09:34Z
date_updated: 2021-06-23T13:09:34Z
file_id: '9596'
file_name: 2021_RSCAdvances_Dar.pdf
file_size: 2114557
relation: main_file
success: 1
file_date_updated: 2021-06-23T13:09:34Z
has_accepted_license: '1'
intvolume: ' 11'
isi: 1
issue: '35'
language:
- iso: eng
license: https://creativecommons.org/licenses/by/3.0/
month: '06'
oa: 1
oa_version: Published Version
page: 21702-21715
publication: RSC Advances
publication_identifier:
eissn:
- 2046-2069
publication_status: published
publisher: Royal Society of Chemistry
quality_controlled: '1'
status: public
title: Heat induction in two-dimensional graphene–Fe3O4 nanohybrids for magnetic hyperthermia
applications with artificial neural network modeling
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/3.0/legalcode
name: Creative Commons Attribution 3.0 Unported (CC BY 3.0)
short: CC BY (3.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 11
year: '2021'
...