--- _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' ...