--- _id: '17132' abstract: - lang: eng text: Extracellular recording is an accessible technique used in animals and humans to study the brain physiology and pathology. As the number of recording channels and their density grows it is natural to ask how much improvement the additional channels bring in and how we can optimally use the new capabilities for monitoring the brain. Here we show that for any given distribution of electrodes we can establish exactly what information about current sources in the brain can be recovered and what information is strictly unobservable. We demonstrate this in the general setting of previously proposed kernel Current Source Density method and illustrate it with simplified examples as well as using evoked potentials from the barrel cortex obtained with a Neuropixels probe and with compatible model data. We show that with conceptual separation of the estimation space from experimental setup one can recover sources not accessible to standard methods. article_number: e1008615 article_processing_charge: No article_type: original author: - first_name: Chaitanya full_name: Chintaluri, Chaitanya id: BA06AFEE-A4BA-11EA-AE5C-14673DDC885E last_name: Chintaluri orcid: 0000-0003-4252-1608 - first_name: Marta full_name: Bejtka, Marta last_name: Bejtka - first_name: Władysław full_name: Średniawa, Władysław last_name: Średniawa - first_name: Michał full_name: Czerwiński, Michał last_name: Czerwiński - first_name: Jakub M. full_name: Dzik, Jakub M. last_name: Dzik - first_name: Joanna full_name: Jędrzejewska-Szmek, Joanna last_name: Jędrzejewska-Szmek - first_name: Kacper full_name: Kondrakiewicz, Kacper last_name: Kondrakiewicz - first_name: Ewa full_name: Kublik, Ewa last_name: Kublik - first_name: Daniel K. full_name: Wójcik, Daniel K. last_name: Wójcik citation: ama: Chintaluri C, Bejtka M, Średniawa W, et al. What we can and what we cannot see with extracellular multielectrodes. PLOS Computational Biology. 2021;17(5). doi:10.1371/journal.pcbi.1008615 apa: Chintaluri, C., Bejtka, M., Średniawa, W., Czerwiński, M., Dzik, J. M., Jędrzejewska-Szmek, J., … Wójcik, D. K. (2021). What we can and what we cannot see with extracellular multielectrodes. PLOS Computational Biology. Public Library of Science. https://doi.org/10.1371/journal.pcbi.1008615 chicago: Chintaluri, Chaitanya, Marta Bejtka, Władysław Średniawa, Michał Czerwiński, Jakub M. Dzik, Joanna Jędrzejewska-Szmek, Kacper Kondrakiewicz, Ewa Kublik, and Daniel K. Wójcik. “What We Can and What We Cannot See with Extracellular Multielectrodes.” PLOS Computational Biology. Public Library of Science, 2021. https://doi.org/10.1371/journal.pcbi.1008615. ieee: C. Chintaluri et al., “What we can and what we cannot see with extracellular multielectrodes,” PLOS Computational Biology, vol. 17, no. 5. Public Library of Science, 2021. ista: Chintaluri C, Bejtka M, Średniawa W, Czerwiński M, Dzik JM, Jędrzejewska-Szmek J, Kondrakiewicz K, Kublik E, Wójcik DK. 2021. What we can and what we cannot see with extracellular multielectrodes. PLOS Computational Biology. 17(5), e1008615. mla: Chintaluri, Chaitanya, et al. “What We Can and What We Cannot See with Extracellular Multielectrodes.” PLOS Computational Biology, vol. 17, no. 5, e1008615, Public Library of Science, 2021, doi:10.1371/journal.pcbi.1008615. short: C. Chintaluri, M. Bejtka, W. Średniawa, M. Czerwiński, J.M. Dzik, J. Jędrzejewska-Szmek, K. Kondrakiewicz, E. Kublik, D.K. Wójcik, PLOS Computational Biology 17 (2021). date_created: 2024-06-11T14:43:37Z date_published: 2021-05-14T00:00:00Z date_updated: 2024-06-17T10:48:15Z day: '14' doi: 10.1371/journal.pcbi.1008615 extern: '1' has_accepted_license: '1' intvolume: ' 17' issue: '5' language: - iso: eng main_file_link: - open_access: '1' url: https://doi.org/10.1371/journal.pcbi.1008615 month: '05' oa: 1 oa_version: Published Version publication: PLOS Computational Biology publication_identifier: issn: - 1553-7358 publication_status: published publisher: Public Library of Science quality_controlled: '1' status: public title: What we can and what we cannot see with extracellular multielectrodes type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 17 year: '2021' ... --- DOAJ_listed: '1' OA_place: publisher OA_type: gold _id: '19472' abstract: - lang: eng text: The forebrain hemispheres are predominantly separated during embryogenesis by the interhemispheric fissure (IHF). Radial astroglia remodel the IHF to form a continuous substrate between the hemispheres for midline crossing of the corpus callosum (CC) and hippocampal commissure (HC). Deleted in colorectal carcinoma (DCC) and netrin 1 (NTN1) are molecules that have an evolutionarily conserved function in commissural axon guidance. The CC and HC are absent in Dcc and Ntn1 knockout mice, while other commissures are only partially affected, suggesting an additional aetiology in forebrain commissure formation. Here, we find that these molecules play a critical role in regulating astroglial development and IHF remodelling during CC and HC formation. Human subjects with DCC mutations display disrupted IHF remodelling associated with CC and HC malformations. Thus, axon guidance molecules such as DCC and NTN1 first regulate the formation of a midline substrate for dorsal commissures prior to their role in regulating axonal growth and guidance across it. article_number: '61769' article_processing_charge: Yes article_type: original author: - first_name: Laura full_name: Morcom, Laura last_name: Morcom - first_name: Ilan full_name: Gobius, Ilan last_name: Gobius - first_name: Ashley PL full_name: Marsh, Ashley PL last_name: Marsh - first_name: Rodrigo full_name: Suárez, Rodrigo last_name: Suárez - first_name: Jonathan WC full_name: Lim, Jonathan WC last_name: Lim - first_name: Caitlin full_name: Bridges, Caitlin last_name: Bridges - first_name: Yunan full_name: Ye, Yunan last_name: Ye - first_name: Laura R full_name: Fenlon, Laura R last_name: Fenlon - first_name: Yvrick full_name: Zagar, Yvrick last_name: Zagar - first_name: Amelia May Barnett full_name: Douglass, Amelia May Barnett id: de5f6fda-80fb-11ef-996f-a8c4ecd8e289 last_name: Douglass orcid: 0000-0001-5398-6473 - first_name: Amber-Lee S full_name: Donahoo, Amber-Lee S last_name: Donahoo - first_name: Thomas full_name: Fothergill, Thomas last_name: Fothergill - first_name: Samreen full_name: Shaikh, Samreen last_name: Shaikh - first_name: Peter full_name: Kozulin, Peter last_name: Kozulin - first_name: Timothy J full_name: Edwards, Timothy J last_name: Edwards - first_name: Helen M full_name: Cooper, Helen M last_name: Cooper - first_name: Elliott H full_name: Sherr, Elliott H last_name: Sherr - first_name: Alain full_name: Chédotal, Alain last_name: Chédotal - first_name: Richard J full_name: Leventer, Richard J last_name: Leventer - first_name: Paul J full_name: Lockhart, Paul J last_name: Lockhart - first_name: Linda J full_name: Richards, Linda J last_name: Richards citation: ama: Morcom L, Gobius I, Marsh AP, et al. DCC regulates astroglial development essential for telencephalic morphogenesis and corpus callosum formation. eLife. 2021;10. doi:10.7554/elife.61769 apa: Morcom, L., Gobius, I., Marsh, A. P., Suárez, R., Lim, J. W., Bridges, C., … Richards, L. J. (2021). DCC regulates astroglial development essential for telencephalic morphogenesis and corpus callosum formation. ELife. eLife Sciences Publications. https://doi.org/10.7554/elife.61769 chicago: Morcom, Laura, Ilan Gobius, Ashley PL Marsh, Rodrigo Suárez, Jonathan WC Lim, Caitlin Bridges, Yunan Ye, et al. “DCC Regulates Astroglial Development Essential for Telencephalic Morphogenesis and Corpus Callosum Formation.” ELife. eLife Sciences Publications, 2021. https://doi.org/10.7554/elife.61769. ieee: L. Morcom et al., “DCC regulates astroglial development essential for telencephalic morphogenesis and corpus callosum formation,” eLife, vol. 10. eLife Sciences Publications, 2021. ista: Morcom L, Gobius I, Marsh AP, Suárez R, Lim JW, Bridges C, Ye Y, Fenlon LR, Zagar Y, Douglass AM, Donahoo A-LS, Fothergill T, Shaikh S, Kozulin P, Edwards TJ, Cooper HM, Sherr EH, Chédotal A, Leventer RJ, Lockhart PJ, Richards LJ. 2021. DCC regulates astroglial development essential for telencephalic morphogenesis and corpus callosum formation. eLife. 10, 61769. mla: Morcom, Laura, et al. “DCC Regulates Astroglial Development Essential for Telencephalic Morphogenesis and Corpus Callosum Formation.” ELife, vol. 10, 61769, eLife Sciences Publications, 2021, doi:10.7554/elife.61769. short: L. Morcom, I. Gobius, A.P. Marsh, R. Suárez, J.W. Lim, C. Bridges, Y. Ye, L.R. Fenlon, Y. Zagar, A.M. Douglass, A.-L.S. Donahoo, T. Fothergill, S. Shaikh, P. Kozulin, T.J. Edwards, H.M. Cooper, E.H. Sherr, A. Chédotal, R.J. Leventer, P.J. Lockhart, L.J. Richards, ELife 10 (2021). date_created: 2025-04-03T12:29:29Z date_published: 2021-04-19T00:00:00Z date_updated: 2025-07-10T11:51:41Z day: '19' doi: 10.7554/elife.61769 extern: '1' external_id: pmid: - '33871356' has_accepted_license: '1' intvolume: ' 10' language: - iso: eng main_file_link: - open_access: '1' url: https://doi.org/10.7554/eLife.61769 month: '04' oa: 1 oa_version: Published Version pmid: 1 publication: eLife publication_identifier: eissn: - 2050-084X publication_status: published publisher: eLife Sciences Publications quality_controlled: '1' scopus_import: '1' status: public title: DCC regulates astroglial development essential for telencephalic morphogenesis and corpus callosum formation 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: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 10 year: '2021' ... --- OA_place: publisher OA_type: hybrid _id: '19489' abstract: - lang: eng text: "Let K be a cyclic number field of odd degree over \r\n\U0001D444 with odd narrow class number, such that 2 is inert in \U0001D43E/\U0001D444. We define a family of number fields {\U0001D43E(\U0001D45D)}\U0001D45D, depending on K and indexed by the rational primes p that split completely in \U0001D43E/\U0001D444, in which p is always ramified of degree 2. Conditional on a standard conjecture on short character sums, the density of such rational primes p that exhibit one of two possible ramified factorizations in \U0001D43E(\U0001D45D)/\U0001D444 is strictly between 0 and 1 and is given explicitly as a formula in terms of the degree of the extension \U0001D43E/\U0001D444. Our results are unconditional in the cubic case. Our proof relies on a detailed study of the joint distribution of spins of prime ideals." article_number: '1' article_processing_charge: No article_type: original arxiv: 1 author: - first_name: Yik Tung full_name: Chan, Yik Tung id: c4c0afc8-9262-11ed-9231-d8b0bc743af1 last_name: Chan orcid: 0000-0001-8467-4106 - first_name: Christine full_name: McMeekin, Christine last_name: McMeekin - first_name: Djordjo full_name: Milovic, Djordjo last_name: Milovic citation: ama: Chan S, McMeekin C, Milovic D. A density of ramified primes. Research in Number Theory. 2021;8. doi:10.1007/s40993-021-00295-5 apa: Chan, S., McMeekin, C., & Milovic, D. (2021). A density of ramified primes. Research in Number Theory. Springer Nature. https://doi.org/10.1007/s40993-021-00295-5 chicago: Chan, Stephanie, Christine McMeekin, and Djordjo Milovic. “A Density of Ramified Primes.” Research in Number Theory. Springer Nature, 2021. https://doi.org/10.1007/s40993-021-00295-5. ieee: S. Chan, C. McMeekin, and D. Milovic, “A density of ramified primes,” Research in Number Theory, vol. 8. Springer Nature, 2021. ista: Chan S, McMeekin C, Milovic D. 2021. A density of ramified primes. Research in Number Theory. 8, 1. mla: Chan, Stephanie, et al. “A Density of Ramified Primes.” Research in Number Theory, vol. 8, 1, Springer Nature, 2021, doi:10.1007/s40993-021-00295-5. short: S. Chan, C. McMeekin, D. Milovic, Research in Number Theory 8 (2021). date_created: 2025-04-05T10:50:51Z date_published: 2021-11-15T00:00:00Z date_updated: 2025-07-10T11:51:46Z day: '15' ddc: - '510' doi: 10.1007/s40993-021-00295-5 extern: '1' external_id: arxiv: - '2005.10188' has_accepted_license: '1' intvolume: ' 8' language: - iso: eng main_file_link: - open_access: '1' url: https://doi.org/10.1007/s40993-021-00295-5 month: '11' oa: 1 oa_version: Published Version publication: Research in Number Theory publication_identifier: eissn: - 2363-9555 issn: - 2522-0160 publication_status: published publisher: Springer Nature quality_controlled: '1' scopus_import: '1' status: public title: A density of ramified primes 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: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 8 year: '2021' ... --- OA_place: repository OA_type: green _id: '19492' abstract: - lang: eng text: Kuroda’s formula relates the class number of a multiquadratic number field K to the class numbers of its quadratic subfields ki. A key component in this formula is the unit group index (math formular). We study how Q(K) behaves on average in certain natural families of totally real biquadratic fields K parametrized by prime numbers. article_processing_charge: No article_type: original arxiv: 1 author: - first_name: Yik Tung full_name: Chan, Yik Tung id: c4c0afc8-9262-11ed-9231-d8b0bc743af1 last_name: Chan orcid: 0000-0001-8467-4106 - first_name: Djordjo full_name: Milovic, Djordjo last_name: Milovic citation: ama: Chan S, Milovic D. Kuroda’s formula and arithmetic statistics. Mathematische Zeitschrift. 2021;300(2):1509-1527. doi:10.1007/s00209-021-02823-6 apa: Chan, S., & Milovic, D. (2021). Kuroda’s formula and arithmetic statistics. Mathematische Zeitschrift. Springer Nature. https://doi.org/10.1007/s00209-021-02823-6 chicago: Chan, Stephanie, and Djordjo Milovic. “Kuroda’s Formula and Arithmetic Statistics.” Mathematische Zeitschrift. Springer Nature, 2021. https://doi.org/10.1007/s00209-021-02823-6. ieee: S. Chan and D. Milovic, “Kuroda’s formula and arithmetic statistics,” Mathematische Zeitschrift, vol. 300, no. 2. Springer Nature, pp. 1509–1527, 2021. ista: Chan S, Milovic D. 2021. Kuroda’s formula and arithmetic statistics. Mathematische Zeitschrift. 300(2), 1509–1527. mla: Chan, Stephanie, and Djordjo Milovic. “Kuroda’s Formula and Arithmetic Statistics.” Mathematische Zeitschrift, vol. 300, no. 2, Springer Nature, 2021, pp. 1509–27, doi:10.1007/s00209-021-02823-6. short: S. Chan, D. Milovic, Mathematische Zeitschrift 300 (2021) 1509–1527. date_created: 2025-04-05T10:51:04Z date_published: 2021-08-17T00:00:00Z date_updated: 2025-07-10T11:51:48Z day: '17' doi: 10.1007/s00209-021-02823-6 extern: '1' external_id: arxiv: - '1905.09745' intvolume: ' 300' issue: '2' language: - iso: eng main_file_link: - open_access: '1' url: https://doi.org/10.48550/arXiv.1905.09745 month: '08' oa: 1 oa_version: Preprint page: 1509-1527 publication: Mathematische Zeitschrift publication_identifier: eissn: - 1432-1823 issn: - 0025-5874 publication_status: published publisher: Springer Nature quality_controlled: '1' scopus_import: '1' status: public title: Kuroda’s formula and arithmetic statistics type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 300 year: '2021' ... --- OA_place: repository OA_type: green _id: '19909' abstract: - lang: eng text: Most water in the Universe may be superionic, and its thermodynamic and transport properties are crucial for planetary science but difficult to probe experimentally or theoretically. We use machine learning and free-energy methods to overcome the limitations of quantum mechanical simulations and characterize hydrogen diffusion, superionic transitions and phase behaviours of water at extreme conditions. We predict that close-packed superionic phases, which have a fraction of mixed stacking for finite systems, are stable over a wide temperature and pressure range, whereas a body-centred cubic superionic phase is only thermodynamically stable in a small window but is kinetically favoured. Our phase boundaries, which are consistent with existing—albeit scarce—experimental observations, help resolve the fractions of insulating ice, different superionic phases and liquid water inside ice giants. article_processing_charge: No article_type: original arxiv: 1 author: - first_name: Bingqing full_name: Cheng, Bingqing id: cbe3cda4-d82c-11eb-8dc7-8ff94289fcc9 last_name: Cheng orcid: 0000-0002-3584-9632 - first_name: Mandy full_name: Bethkenhagen, Mandy last_name: Bethkenhagen - first_name: Chris J. full_name: Pickard, Chris J. last_name: Pickard - first_name: Sebastien full_name: Hamel, Sebastien last_name: Hamel citation: ama: Cheng B, Bethkenhagen M, Pickard CJ, Hamel S. Phase behaviours of superionic water at planetary conditions. Nature Physics. 2021;17(11):1228-1232. doi:10.1038/s41567-021-01334-9 apa: Cheng, B., Bethkenhagen, M., Pickard, C. J., & Hamel, S. (2021). Phase behaviours of superionic water at planetary conditions. Nature Physics. Springer Nature. https://doi.org/10.1038/s41567-021-01334-9 chicago: Cheng, Bingqing, Mandy Bethkenhagen, Chris J. Pickard, and Sebastien Hamel. “Phase Behaviours of Superionic Water at Planetary Conditions.” Nature Physics. Springer Nature, 2021. https://doi.org/10.1038/s41567-021-01334-9. ieee: B. Cheng, M. Bethkenhagen, C. J. Pickard, and S. Hamel, “Phase behaviours of superionic water at planetary conditions,” Nature Physics, vol. 17, no. 11. Springer Nature, pp. 1228–1232, 2021. ista: Cheng B, Bethkenhagen M, Pickard CJ, Hamel S. 2021. Phase behaviours of superionic water at planetary conditions. Nature Physics. 17(11), 1228–1232. mla: Cheng, Bingqing, et al. “Phase Behaviours of Superionic Water at Planetary Conditions.” Nature Physics, vol. 17, no. 11, Springer Nature, 2021, pp. 1228–32, doi:10.1038/s41567-021-01334-9. short: B. Cheng, M. Bethkenhagen, C.J. Pickard, S. Hamel, Nature Physics 17 (2021) 1228–1232. date_created: 2025-06-26T11:36:36Z date_published: 2021-11-01T00:00:00Z date_updated: 2025-06-26T11:49:07Z day: '01' doi: 10.1038/s41567-021-01334-9 extern: '1' external_id: arxiv: - '2103.09035' intvolume: ' 17' issue: '11' language: - iso: eng month: '11' oa_version: Preprint page: 1228-1232 publication: Nature Physics publication_identifier: eissn: - 1745-2481 issn: - 1745-2473 publication_status: published publisher: Springer Nature quality_controlled: '1' related_material: record: - id: '9696' relation: earlier_version status: public scopus_import: '1' status: public title: Phase behaviours of superionic water at planetary conditions type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 17 year: '2021' ... --- OA_place: repository OA_type: green _id: '20619' abstract: - lang: eng text: The first author’s previous work established Solomon’s WDVV-type relations for Welschinger’s invariant curve counts in real symplectic fourfolds by lifting geometric relations over possibly unorientable morphisms. We apply her framework to obtain WDVV-style relations for the disk invariants of real symplectic sixfolds with some symmetry, in particular confirming Alcolado’s prediction for P^3 and extending it to other spaces. These relations reduce the computation of Welschinger’s invariants of many real symplectic sixfolds to invariants in small degrees and provide lower bounds for counts of real rational curves with positive-dimensional insertions in some cases. In the case of P^3, our lower bounds fit perfectly with Kollár’s vanishing results. article_processing_charge: No article_type: original arxiv: 1 author: - first_name: Xujia full_name: Chen, Xujia id: 968ad14a-fd86-11ee-a420-ea29715511a3 last_name: Chen - first_name: Aleksey full_name: Zinger, Aleksey last_name: Zinger citation: ama: Chen X, Zinger A. WDVV-type relations for disk Gromov–Witten invariants in dimension 6. Mathematische Annalen. 2021;379(3-4):1231-1313. doi:10.1007/s00208-020-02130-1 apa: Chen, X., & Zinger, A. (2021). WDVV-type relations for disk Gromov–Witten invariants in dimension 6. Mathematische Annalen. Springer Nature. https://doi.org/10.1007/s00208-020-02130-1 chicago: Chen, Xujia, and Aleksey Zinger. “WDVV-Type Relations for Disk Gromov–Witten Invariants in Dimension 6.” Mathematische Annalen. Springer Nature, 2021. https://doi.org/10.1007/s00208-020-02130-1. ieee: X. Chen and A. Zinger, “WDVV-type relations for disk Gromov–Witten invariants in dimension 6,” Mathematische Annalen, vol. 379, no. 3–4. Springer Nature, pp. 1231–1313, 2021. ista: Chen X, Zinger A. 2021. WDVV-type relations for disk Gromov–Witten invariants in dimension 6. Mathematische Annalen. 379(3–4), 1231–1313. mla: Chen, Xujia, and Aleksey Zinger. “WDVV-Type Relations for Disk Gromov–Witten Invariants in Dimension 6.” Mathematische Annalen, vol. 379, no. 3–4, Springer Nature, 2021, pp. 1231–313, doi:10.1007/s00208-020-02130-1. short: X. Chen, A. Zinger, Mathematische Annalen 379 (2021) 1231–1313. date_created: 2025-11-10T08:41:40Z date_published: 2021-01-25T00:00:00Z date_updated: 2025-11-10T15:11:29Z day: '25' doi: 10.1007/s00208-020-02130-1 extern: '1' external_id: arxiv: - '1904.04254' intvolume: ' 379' issue: 3-4 language: - iso: eng main_file_link: - open_access: '1' url: https://doi.org/10.48550/arXiv.1904.04254 month: '01' oa: 1 oa_version: Preprint page: 1231-1313 publication: Mathematische Annalen publication_identifier: eissn: - 1432-1807 issn: - 0025-5831 publication_status: published publisher: Springer Nature quality_controlled: '1' scopus_import: '1' status: public title: WDVV-type relations for disk Gromov–Witten invariants in dimension 6 type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 379 year: '2021' ... --- OA_place: repository OA_type: green _id: '20622' abstract: - lang: eng text: We first recall Solomon’s relations for Welschinger invariants counting real curves in real symplectic fourfolds and the Witten–Dijkgraaf–Verlinde–Verlinde (WDVV)-style relations for Welschinger invariants counting real curves in real symplectic sixfolds with some symmetry. We then explicitly demonstrate that, in some important cases (projective spaces with standard conjugations, real blowups of the projective plane, and two- and threefold products of the one-dimensional projective space with two involutions each), these relations provide complete recursions determining all Welschinger invariants from basic input. We include extensive tables of Welschinger invariants in low degrees obtained from these recursions with Mathematica. These invariants provide lower bounds for counts of real rational curves, including with curve insertions in smooth algebraic threefolds. article_processing_charge: No arxiv: 1 author: - first_name: Xujia full_name: Chen, Xujia id: 968ad14a-fd86-11ee-a420-ea29715511a3 last_name: Chen - first_name: Aleksey full_name: Zinger, Aleksey last_name: Zinger citation: ama: 'Chen X, Zinger A. WDVV-type relations for Welschinger’s invariants: Applications. Kyoto Journal of Mathematics. 61(2):339-376. doi:10.1215/21562261-2021-0005' apa: 'Chen, X., & Zinger, A. (n.d.). WDVV-type relations for Welschinger’s invariants: Applications. Kyoto Journal of Mathematics. Duke University Press. https://doi.org/10.1215/21562261-2021-0005' chicago: 'Chen, Xujia, and Aleksey Zinger. “WDVV-Type Relations for Welschinger’s Invariants: Applications.” Kyoto Journal of Mathematics. Duke University Press, n.d. https://doi.org/10.1215/21562261-2021-0005.' ieee: 'X. Chen and A. Zinger, “WDVV-type relations for Welschinger’s invariants: Applications,” Kyoto Journal of Mathematics, vol. 61, no. 2. Duke University Press, pp. 339–376.' ista: 'Chen X, Zinger A. WDVV-type relations for Welschinger’s invariants: Applications. Kyoto Journal of Mathematics. 61(2), 339–376.' mla: 'Chen, Xujia, and Aleksey Zinger. “WDVV-Type Relations for Welschinger’s Invariants: Applications.” Kyoto Journal of Mathematics, vol. 61, no. 2, Duke University Press, pp. 339–76, doi:10.1215/21562261-2021-0005.' short: X. Chen, A. Zinger, Kyoto Journal of Mathematics 61 (n.d.) 339–376. date_created: 2025-11-10T08:45:12Z date_published: 2021-06-01T00:00:00Z date_updated: 2025-11-10T15:13:58Z day: '01' doi: 10.1215/21562261-2021-0005 extern: '1' external_id: arxiv: - '1809.08938' intvolume: ' 61' issue: '2' language: - iso: eng main_file_link: - open_access: '1' url: https://doi.org/10.48550/arXiv.1809.08938 month: '06' oa: 1 oa_version: Preprint page: 339-376 publication: Kyoto Journal of Mathematics publication_identifier: eissn: - 2154-3321 publication_status: submitted publisher: Duke University Press quality_controlled: '1' status: public title: 'WDVV-type relations for Welschinger''s invariants: Applications' type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 61 year: '2021' ... --- OA_place: publisher OA_type: hybrid _id: '20765' abstract: - lang: eng text:

A cascade Suzuki–Miyaura cross-coupling between two non-symmetrical coupling partners gave rise to 9,10-dihydrophenanthrenes with full site-selectivity. The choice of base was critical to facilitate the challenging coupling of the secondary boronate group.

article_processing_charge: No article_type: original author: - first_name: Suzanne full_name: Willems, Suzanne last_name: Willems - first_name: Georgios full_name: Toupalas, Georgios last_name: Toupalas - first_name: Julia full_name: Reisenbauer, Julia id: 51d862e9-36ee-11f0-86d3-8534c85a5496 last_name: Reisenbauer - first_name: Bill full_name: Morandi, Bill last_name: Morandi citation: ama: Willems S, Toupalas G, Reisenbauer J, Morandi B. A site-selective and stereospecific cascade Suzuki–Miyaura annulation of alkyl 1,2-bisboronic esters and 2,2′-dihalo 1,1′-biaryls. Chemical Communications. 2021;57(32):3909-3912. doi:10.1039/d1cc00648g apa: Willems, S., Toupalas, G., Reisenbauer, J., & Morandi, B. (2021). A site-selective and stereospecific cascade Suzuki–Miyaura annulation of alkyl 1,2-bisboronic esters and 2,2′-dihalo 1,1′-biaryls. Chemical Communications. Royal Society of Chemistry. https://doi.org/10.1039/d1cc00648g chicago: Willems, Suzanne, Georgios Toupalas, Julia Reisenbauer, and Bill Morandi. “A Site-Selective and Stereospecific Cascade Suzuki–Miyaura Annulation of Alkyl 1,2-Bisboronic Esters and 2,2′-Dihalo 1,1′-Biaryls.” Chemical Communications. Royal Society of Chemistry, 2021. https://doi.org/10.1039/d1cc00648g. ieee: S. Willems, G. Toupalas, J. Reisenbauer, and B. Morandi, “A site-selective and stereospecific cascade Suzuki–Miyaura annulation of alkyl 1,2-bisboronic esters and 2,2′-dihalo 1,1′-biaryls,” Chemical Communications, vol. 57, no. 32. Royal Society of Chemistry, pp. 3909–3912, 2021. ista: Willems S, Toupalas G, Reisenbauer J, Morandi B. 2021. A site-selective and stereospecific cascade Suzuki–Miyaura annulation of alkyl 1,2-bisboronic esters and 2,2′-dihalo 1,1′-biaryls. Chemical Communications. 57(32), 3909–3912. mla: Willems, Suzanne, et al. “A Site-Selective and Stereospecific Cascade Suzuki–Miyaura Annulation of Alkyl 1,2-Bisboronic Esters and 2,2′-Dihalo 1,1′-Biaryls.” Chemical Communications, vol. 57, no. 32, Royal Society of Chemistry, 2021, pp. 3909–12, doi:10.1039/d1cc00648g. short: S. Willems, G. Toupalas, J. Reisenbauer, B. Morandi, Chemical Communications 57 (2021) 3909–3912. date_created: 2025-12-09T14:25:17Z date_published: 2021-03-15T00:00:00Z date_updated: 2025-12-16T12:06:53Z day: '15' ddc: - '540' doi: 10.1039/d1cc00648g extern: '1' external_id: pmid: - '33871510' has_accepted_license: '1' intvolume: ' 57' issue: '32' language: - iso: eng main_file_link: - open_access: '1' url: "DOI\thttps://doi.org/10.1039/D1CC00648G" month: '03' oa: 1 oa_version: Published Version page: 3909-3912 pmid: 1 publication: Chemical Communications publication_identifier: eissn: - 1364-548X issn: - 1359-7345 publication_status: published publisher: Royal Society of Chemistry quality_controlled: '1' scopus_import: '1' status: public title: A site-selective and stereospecific cascade Suzuki–Miyaura annulation of alkyl 1,2-bisboronic esters and 2,2′-dihalo 1,1′-biaryls 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: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 57 year: '2021' ... --- _id: '10000' abstract: - lang: eng text: Inhibition or targeted deletion of histone deacetylase 3 (HDAC3) is neuroprotective in a variety neurodegenerative conditions, including retinal ganglion cells (RGCs) after acute optic nerve damage. Consistent with this, induced HDAC3 expression in cultured cells shows selective toxicity to neurons. Despite an established role for HDAC3 in neuronal pathology, little is known regarding the mechanism of this pathology. acknowledgement: 'The authors thank Joel Dietz for maintaining the mice used in this study, Satoshi Kinoshita and the Translational Research Initiative in Pathology Laboratory at the University of Wisconsin-Madison for cutting retinal sections analyzed in this study, and Mark Banghart for statistical review of the data analysis. Supported by National Eye Institute Grants R01 EY012223 (RWN), R01 EY030123 (RWN), R01 EY029809 (LWG), R01 EY029809 (LWG) and a Vision Research CORE grant P30 EY016665, NRSA grant T32 GM081061, by an unrestricted research grant from Research to Prevent Blindness, Inc., and by a University of Wisconsin-Madison Vilas Life Cycle award and the Frederick A. Davis Research Chair (RWN). ' article_number: '14' article_processing_charge: Yes article_type: original author: - first_name: Heather M. full_name: Schmitt, Heather M. last_name: Schmitt - first_name: Rachel L. full_name: Fehrman, Rachel L. last_name: Fehrman - first_name: Margaret E full_name: Maes, Margaret E id: 3838F452-F248-11E8-B48F-1D18A9856A87 last_name: Maes orcid: 0000-0001-9642-1085 - first_name: Huan full_name: Yang, Huan last_name: Yang - first_name: Lian Wang full_name: Guo, Lian Wang last_name: Guo - first_name: Cassandra L. full_name: Schlamp, Cassandra L. last_name: Schlamp - first_name: Heather R. full_name: Pelzel, Heather R. last_name: Pelzel - first_name: Robert W. full_name: Nickells, Robert W. last_name: Nickells citation: ama: Schmitt HM, Fehrman RL, Maes ME, et al. Increased susceptibility and intrinsic apoptotic signaling in neurons by induced HDAC3 expression. Investigative Ophthalmology and Visual Science. 2021;62(10). doi:10.1167/IOVS.62.10.14 apa: Schmitt, H. M., Fehrman, R. L., Maes, M. E., Yang, H., Guo, L. W., Schlamp, C. L., … Nickells, R. W. (2021). Increased susceptibility and intrinsic apoptotic signaling in neurons by induced HDAC3 expression. Investigative Ophthalmology and Visual Science. Association for Research in Vision and Ophthalmology. https://doi.org/10.1167/IOVS.62.10.14 chicago: Schmitt, Heather M., Rachel L. Fehrman, Margaret E Maes, Huan Yang, Lian Wang Guo, Cassandra L. Schlamp, Heather R. Pelzel, and Robert W. Nickells. “Increased Susceptibility and Intrinsic Apoptotic Signaling in Neurons by Induced HDAC3 Expression.” Investigative Ophthalmology and Visual Science. Association for Research in Vision and Ophthalmology, 2021. https://doi.org/10.1167/IOVS.62.10.14. ieee: H. M. Schmitt et al., “Increased susceptibility and intrinsic apoptotic signaling in neurons by induced HDAC3 expression,” Investigative Ophthalmology and Visual Science, vol. 62, no. 10. Association for Research in Vision and Ophthalmology, 2021. ista: Schmitt HM, Fehrman RL, Maes ME, Yang H, Guo LW, Schlamp CL, Pelzel HR, Nickells RW. 2021. Increased susceptibility and intrinsic apoptotic signaling in neurons by induced HDAC3 expression. Investigative Ophthalmology and Visual Science. 62(10), 14. mla: Schmitt, Heather M., et al. “Increased Susceptibility and Intrinsic Apoptotic Signaling in Neurons by Induced HDAC3 Expression.” Investigative Ophthalmology and Visual Science, vol. 62, no. 10, 14, Association for Research in Vision and Ophthalmology, 2021, doi:10.1167/IOVS.62.10.14. short: H.M. Schmitt, R.L. Fehrman, M.E. Maes, H. Yang, L.W. Guo, C.L. Schlamp, H.R. Pelzel, R.W. Nickells, Investigative Ophthalmology and Visual Science 62 (2021). date_created: 2021-09-12T22:01:23Z date_published: 2021-08-16T00:00:00Z date_updated: 2023-08-14T06:35:17Z day: '16' ddc: - '570' department: - _id: SaSi doi: 10.1167/IOVS.62.10.14 external_id: isi: - '000695230000014' pmid: - '34398198' file: - access_level: open_access checksum: c430967746f653aa1ae84ee617f62b73 content_type: application/pdf creator: dernst date_created: 2022-05-13T07:40:15Z date_updated: 2022-05-13T07:40:15Z file_id: '11369' file_name: 2021_IOVS_Schmitt.pdf file_size: 19707796 relation: main_file success: 1 file_date_updated: 2022-05-13T07:40:15Z has_accepted_license: '1' intvolume: ' 62' isi: 1 issue: '10' language: - iso: eng month: '08' oa: 1 oa_version: Published Version pmid: 1 publication: Investigative Ophthalmology and Visual Science publication_identifier: eissn: - 1552-5783 issn: - 0146-0404 publication_status: published publisher: Association for Research in Vision and Ophthalmology quality_controlled: '1' scopus_import: '1' status: public title: Increased susceptibility and intrinsic apoptotic signaling in neurons by induced HDAC3 expression 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: journal_article user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 62 year: '2021' ... --- _id: '10002' abstract: - lang: eng text: 'We present a faster symbolic algorithm for the following central problem in probabilistic verification: Compute the maximal end-component (MEC) decomposition of Markov decision processes (MDPs). This problem generalizes the SCC decomposition problem of graphs and closed recurrent sets of Markov chains. The model of symbolic algorithms is widely used in formal verification and model-checking, where access to the input model is restricted to only symbolic operations (e.g., basic set operations and computation of one-step neighborhood). For an input MDP with n vertices and m edges, the classical symbolic algorithm from the 1990s for the MEC decomposition requires O(n2) symbolic operations and O(1) symbolic space. The only other symbolic algorithm for the MEC decomposition requires O(nm−−√) symbolic operations and O(m−−√) symbolic space. A main open question is whether the worst-case O(n2) bound for symbolic operations can be beaten. We present a symbolic algorithm that requires O˜(n1.5) symbolic operations and O˜(n−−√) symbolic space. Moreover, the parametrization of our algorithm provides a trade-off between symbolic operations and symbolic space: for all 0<ϵ≤1/2 the symbolic algorithm requires O˜(n2−ϵ) symbolic operations and O˜(nϵ) symbolic space ( O˜ hides poly-logarithmic factors). Using our techniques we present faster algorithms for computing the almost-sure winning regions of ω -regular objectives for MDPs. We consider the canonical parity objectives for ω -regular objectives, and for parity objectives with d -priorities we present an algorithm that computes the almost-sure winning region with O˜(n2−ϵ) symbolic operations and O˜(nϵ) symbolic space, for all 0<ϵ≤1/2 .' acknowledgement: The authors are grateful to the anonymous referees for their valuable comments. A. S. is fully supported by the Vienna Science and Technology Fund (WWTF) through project ICT15–003. K. C. is supported by the Austrian Science Fund (FWF) NFN Grant No S11407-N23 (RiSE/SHiNE) and by the ERC CoG 863818 (ForM-SMArt). For M. H. the research leading to these results has received funding from the European Research Council under the European Unions Seventh Framework Programme (FP/2007–2013) / ERC Grant Agreement no. 340506. article_processing_charge: No arxiv: 1 author: - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X - first_name: Wolfgang full_name: Dvorak, Wolfgang last_name: Dvorak - first_name: Monika H full_name: Henzinger, Monika H id: 540c9bbd-f2de-11ec-812d-d04a5be85630 last_name: Henzinger orcid: 0000-0002-5008-6530 - first_name: Alexander full_name: Svozil, Alexander last_name: Svozil citation: ama: 'Chatterjee K, Dvorak W, Henzinger M, Svozil A. Symbolic time and space tradeoffs for probabilistic verification. In: Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in Computer Science. Institute of Electrical and Electronics Engineers; 2021:1-13. doi:10.1109/LICS52264.2021.9470739' apa: 'Chatterjee, K., Dvorak, W., Henzinger, M., & Svozil, A. (2021). Symbolic time and space tradeoffs for probabilistic verification. In Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in Computer Science (pp. 1–13). Rome, Italy: Institute of Electrical and Electronics Engineers. https://doi.org/10.1109/LICS52264.2021.9470739' chicago: Chatterjee, Krishnendu, Wolfgang Dvorak, Monika Henzinger, and Alexander Svozil. “Symbolic Time and Space Tradeoffs for Probabilistic Verification.” In Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in Computer Science, 1–13. Institute of Electrical and Electronics Engineers, 2021. https://doi.org/10.1109/LICS52264.2021.9470739. ieee: K. Chatterjee, W. Dvorak, M. Henzinger, and A. Svozil, “Symbolic time and space tradeoffs for probabilistic verification,” in Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in Computer Science, Rome, Italy, 2021, pp. 1–13. ista: 'Chatterjee K, Dvorak W, Henzinger M, Svozil A. 2021. Symbolic time and space tradeoffs for probabilistic verification. Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in Computer Science. LICS: Logic in Computer Science, 1–13.' mla: Chatterjee, Krishnendu, et al. “Symbolic Time and Space Tradeoffs for Probabilistic Verification.” Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in Computer Science, Institute of Electrical and Electronics Engineers, 2021, pp. 1–13, doi:10.1109/LICS52264.2021.9470739. short: K. Chatterjee, W. Dvorak, M. Henzinger, A. Svozil, in:, Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in Computer Science, Institute of Electrical and Electronics Engineers, 2021, pp. 1–13. conference: end_date: 2021-07-02 location: Rome, Italy name: 'LICS: Logic in Computer Science' start_date: 2021-06-29 date_created: 2021-09-12T22:01:24Z date_published: 2021-07-07T00:00:00Z date_updated: 2025-07-10T11:15:45Z day: '07' department: - _id: KrCh doi: 10.1109/LICS52264.2021.9470739 ec_funded: 1 external_id: arxiv: - '2104.07466' isi: - '000947350400089' isi: 1 keyword: - Computer science - Computational modeling - Markov processes - Probabilistic logic - Formal verification - Game Theory language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/2104.07466 month: '07' oa: 1 oa_version: Preprint page: 1-13 project: - _id: 25863FF4-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: S11407 name: Game Theory - _id: 0599E47C-7A3F-11EA-A408-12923DDC885E call_identifier: H2020 grant_number: '863818' name: 'Formal Methods for Stochastic Models: Algorithms and Applications' publication: Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in Computer Science publication_identifier: eisbn: - 978-1-6654-4895-6 isbn: - 978-1-6654-4896-3 issn: - 1043-6871 publication_status: published publisher: Institute of Electrical and Electronics Engineers quality_controlled: '1' scopus_import: '1' status: public title: Symbolic time and space tradeoffs for probabilistic verification type: conference user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 year: '2021' ... --- _id: '10004' abstract: - lang: eng text: 'Markov chains are the de facto finite-state model for stochastic dynamical systems, and Markov decision processes (MDPs) extend Markov chains by incorporating non-deterministic behaviors. Given an MDP and rewards on states, a classical optimization criterion is the maximal expected total reward where the MDP stops after T steps, which can be computed by a simple dynamic programming algorithm. We consider a natural generalization of the problem where the stopping times can be chosen according to a probability distribution, such that the expected stopping time is T, to optimize the expected total reward. Quite surprisingly we establish inter-reducibility of the expected stopping-time problem for Markov chains with the Positivity problem (which is related to the well-known Skolem problem), for which establishing either decidability or undecidability would be a major breakthrough. Given the hardness of the exact problem, we consider the approximate version of the problem: we show that it can be solved in exponential time for Markov chains and in exponential space for MDPs.' acknowledgement: We are grateful to the anonymous reviewers of LICS 2021 and of a previous version of this paper for insightful comments that helped improving the presentation. This research was partially supported by the grant ERC CoG 863818 (ForM-SMArt). article_processing_charge: No arxiv: 1 author: - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X - first_name: Laurent full_name: Doyen, Laurent last_name: Doyen citation: ama: 'Chatterjee K, Doyen L. Stochastic processes with expected stopping time. In: Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in Computer Science. Institute of Electrical and Electronics Engineers; 2021:1-13. doi:10.1109/LICS52264.2021.9470595' apa: 'Chatterjee, K., & Doyen, L. (2021). Stochastic processes with expected stopping time. In Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in Computer Science (pp. 1–13). Rome, Italy: Institute of Electrical and Electronics Engineers. https://doi.org/10.1109/LICS52264.2021.9470595' chicago: Chatterjee, Krishnendu, and Laurent Doyen. “Stochastic Processes with Expected Stopping Time.” In Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in Computer Science, 1–13. Institute of Electrical and Electronics Engineers, 2021. https://doi.org/10.1109/LICS52264.2021.9470595. ieee: K. Chatterjee and L. Doyen, “Stochastic processes with expected stopping time,” in Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in Computer Science, Rome, Italy, 2021, pp. 1–13. ista: 'Chatterjee K, Doyen L. 2021. Stochastic processes with expected stopping time. Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in Computer Science. LICS: Logic in Computer Science, 1–13.' mla: Chatterjee, Krishnendu, and Laurent Doyen. “Stochastic Processes with Expected Stopping Time.” Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in Computer Science, Institute of Electrical and Electronics Engineers, 2021, pp. 1–13, doi:10.1109/LICS52264.2021.9470595. short: K. Chatterjee, L. Doyen, in:, Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in Computer Science, Institute of Electrical and Electronics Engineers, 2021, pp. 1–13. conference: end_date: 2021-07-02 location: Rome, Italy name: 'LICS: Logic in Computer Science' start_date: 2021-06-29 date_created: 2021-09-12T22:01:25Z date_published: 2021-07-07T00:00:00Z date_updated: 2025-09-08T14:54:13Z day: '07' department: - _id: KrCh doi: 10.1109/LICS52264.2021.9470595 ec_funded: 1 external_id: arxiv: - '2104.07278' isi: - '000947350400036' isi: 1 keyword: - Computer science - Heuristic algorithms - Memory management - Automata - Markov processes - Probability distribution - Complexity theory language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/2104.07278 month: '07' oa: 1 oa_version: Preprint page: 1-13 project: - _id: 0599E47C-7A3F-11EA-A408-12923DDC885E call_identifier: H2020 grant_number: '863818' name: 'Formal Methods for Stochastic Models: Algorithms and Applications' publication: Proceedings of the 36th Annual ACM/IEEE Symposium on Logic in Computer Science publication_identifier: eisbn: - 978-1-6654-4895-6 isbn: - 978-1-6654-4896-3 issn: - 1043-6871 publication_status: published publisher: Institute of Electrical and Electronics Engineers quality_controlled: '1' related_material: record: - id: '18630' relation: later_version status: public scopus_import: '1' status: public title: Stochastic processes with expected stopping time type: conference user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 year: '2021' ... --- _id: '10005' abstract: - lang: eng text: We study systems of nonlinear partial differential equations of parabolic type, in which the elliptic operator is replaced by the first-order divergence operator acting on a flux function, which is related to the spatial gradient of the unknown through an additional implicit equation. This setting, broad enough in terms of applications, significantly expands the paradigm of nonlinear parabolic problems. Formulating four conditions concerning the form of the implicit equation, we first show that these conditions describe a maximal monotone p-coercive graph. We then establish the global-in-time and large-data existence of a (weak) solution and its uniqueness. To this end, we adopt and significantly generalize Minty’s method of monotone mappings. A unified theory, containing several novel tools, is developed in a way to be tractable from the point of view of numerical approximations. acknowledgement: "M. Bulíček and J. Málek acknowledge the support of the project No. 18-12719S financed by the Czech\r\nScience foundation (GAČR). E. Maringová acknowledges support from Charles University Research program \r\nUNCE/SCI/023, the grant SVV-2020-260583 by the Ministry of Education, Youth and Sports, Czech Republic\r\nand from the Austrian Science Fund (FWF), grants P30000, W1245, and F65. M. Bulíček and J. Málek are\r\nmembers of the Nečas Center for Mathematical Modelling.\r\n" article_processing_charge: No article_type: original arxiv: 1 author: - first_name: Miroslav full_name: Bulíček, Miroslav last_name: Bulíček - first_name: Erika full_name: Maringová, Erika id: dbabca31-66eb-11eb-963a-fb9c22c880b4 last_name: Maringová - first_name: Josef full_name: Málek, Josef last_name: Málek citation: ama: Bulíček M, Maringová E, Málek J. On nonlinear problems of parabolic type with implicit constitutive equations involving flux. Mathematical Models and Methods in Applied Sciences. 2021;31(09). doi:10.1142/S0218202521500457 apa: Bulíček, M., Maringová, E., & Málek, J. (2021). On nonlinear problems of parabolic type with implicit constitutive equations involving flux. Mathematical Models and Methods in Applied Sciences. World Scientific Publishing. https://doi.org/10.1142/S0218202521500457 chicago: Bulíček, Miroslav, Erika Maringová, and Josef Málek. “On Nonlinear Problems of Parabolic Type with Implicit Constitutive Equations Involving Flux.” Mathematical Models and Methods in Applied Sciences. World Scientific Publishing, 2021. https://doi.org/10.1142/S0218202521500457. ieee: M. Bulíček, E. Maringová, and J. Málek, “On nonlinear problems of parabolic type with implicit constitutive equations involving flux,” Mathematical Models and Methods in Applied Sciences, vol. 31, no. 09. World Scientific Publishing, 2021. ista: Bulíček M, Maringová E, Málek J. 2021. On nonlinear problems of parabolic type with implicit constitutive equations involving flux. Mathematical Models and Methods in Applied Sciences. 31(09). mla: Bulíček, Miroslav, et al. “On Nonlinear Problems of Parabolic Type with Implicit Constitutive Equations Involving Flux.” Mathematical Models and Methods in Applied Sciences, vol. 31, no. 09, World Scientific Publishing, 2021, doi:10.1142/S0218202521500457. short: M. Bulíček, E. Maringová, J. Málek, Mathematical Models and Methods in Applied Sciences 31 (2021). date_created: 2021-09-12T22:01:25Z date_published: 2021-08-25T00:00:00Z date_updated: 2025-05-14T10:50:14Z day: '25' department: - _id: JuFi doi: 10.1142/S0218202521500457 external_id: arxiv: - '2009.06917' isi: - '000722222900004' intvolume: ' 31' isi: 1 issue: '09' keyword: - Nonlinear parabolic systems - implicit constitutive theory - weak solutions - existence - uniqueness language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/2009.06917 month: '08' oa: 1 oa_version: Preprint project: - _id: fc31cba2-9c52-11eb-aca3-ff467d239cd2 grant_number: F6504 name: Taming Complexity in Partial Differential Systems publication: Mathematical Models and Methods in Applied Sciences publication_identifier: eissn: - 1793-6314 issn: - 0218-2025 publication_status: published publisher: World Scientific Publishing quality_controlled: '1' scopus_import: '1' status: public title: On nonlinear problems of parabolic type with implicit constitutive equations involving flux type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 31 year: '2021' ... --- OA_place: publisher _id: '10007' abstract: - lang: eng text: The present thesis is concerned with the derivation of weak-strong uniqueness principles for curvature driven interface evolution problems not satisfying a comparison principle. The specific examples being treated are two-phase Navier-Stokes flow with surface tension, modeling the evolution of two incompressible, viscous and immiscible fluids separated by a sharp interface, and multiphase mean curvature flow, which serves as an idealized model for the motion of grain boundaries in an annealing polycrystalline material. Our main results - obtained in joint works with Julian Fischer, Tim Laux and Theresa M. Simon - state that prior to the formation of geometric singularities due to topology changes, the weak solution concept of Abels (Interfaces Free Bound. 9, 2007) to two-phase Navier-Stokes flow with surface tension and the weak solution concept of Laux and Otto (Calc. Var. Partial Differential Equations 55, 2016) to multiphase mean curvature flow (for networks in R^2 or double bubbles in R^3) represents the unique solution to these interface evolution problems within the class of classical solutions, respectively. To the best of the author's knowledge, for interface evolution problems not admitting a geometric comparison principle the derivation of a weak-strong uniqueness principle represented an open problem, so that the works contained in the present thesis constitute the first positive results in this direction. The key ingredient of our approach consists of the introduction of a novel concept of relative entropies for a class of curvature driven interface evolution problems, for which the associated energy contains an interfacial contribution being proportional to the surface area of the evolving (network of) interface(s). The interfacial part of the relative entropy gives sufficient control on the interface error between a weak and a classical solution, and its time evolution can be computed, at least in principle, for any energy dissipating weak solution concept. A resulting stability estimate for the relative entropy essentially entails the above mentioned weak-strong uniqueness principles. The present thesis contains a detailed introduction to our relative entropy approach, which in particular highlights potential applications to other problems in curvature driven interface evolution not treated in this thesis. alternative_title: - ISTA Thesis article_processing_charge: No author: - first_name: Sebastian full_name: Hensel, Sebastian id: 4D23B7DA-F248-11E8-B48F-1D18A9856A87 last_name: Hensel orcid: 0000-0001-7252-8072 citation: ama: 'Hensel S. Curvature driven interface evolution: Uniqueness properties of weak solution concepts. 2021. doi:10.15479/at:ista:10007' apa: 'Hensel, S. (2021). Curvature driven interface evolution: Uniqueness properties of weak solution concepts. Institute of Science and Technology Austria. https://doi.org/10.15479/at:ista:10007' chicago: 'Hensel, Sebastian. “Curvature Driven Interface Evolution: Uniqueness Properties of Weak Solution Concepts.” Institute of Science and Technology Austria, 2021. https://doi.org/10.15479/at:ista:10007.' ieee: 'S. Hensel, “Curvature driven interface evolution: Uniqueness properties of weak solution concepts,” Institute of Science and Technology Austria, 2021.' ista: 'Hensel S. 2021. Curvature driven interface evolution: Uniqueness properties of weak solution concepts. Institute of Science and Technology Austria.' mla: 'Hensel, Sebastian. Curvature Driven Interface Evolution: Uniqueness Properties of Weak Solution Concepts. Institute of Science and Technology Austria, 2021, doi:10.15479/at:ista:10007.' short: 'S. Hensel, Curvature Driven Interface Evolution: Uniqueness Properties of Weak Solution Concepts, Institute of Science and Technology Austria, 2021.' corr_author: '1' date_created: 2021-09-13T11:12:34Z date_published: 2021-09-14T00:00:00Z date_updated: 2026-04-08T07:01:01Z day: '14' ddc: - '515' degree_awarded: PhD department: - _id: GradSch - _id: JuFi doi: 10.15479/at:ista:10007 ec_funded: 1 file: - access_level: closed checksum: c8475faaf0b680b4971f638f1db16347 content_type: application/x-zip-compressed creator: shensel date_created: 2021-09-13T11:03:24Z date_updated: 2021-09-15T14:37:30Z file_id: '10008' file_name: thesis_final_Hensel.zip file_size: 15022154 relation: source_file - access_level: open_access checksum: 1a609937aa5275452822f45f2da17f07 content_type: application/pdf creator: shensel date_created: 2021-09-13T14:18:56Z date_updated: 2021-09-14T09:52:47Z file_id: '10014' file_name: thesis_final_Hensel.pdf file_size: 6583638 relation: main_file file_date_updated: 2021-09-15T14:37:30Z has_accepted_license: '1' language: - iso: eng month: '09' oa: 1 oa_version: Published Version page: '300' project: - _id: 2564DBCA-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '665385' name: International IST Doctoral Program - _id: 0aa76401-070f-11eb-9043-b5bb049fa26d call_identifier: H2020 grant_number: '948819' name: Bridging Scales in Random Materials publication_identifier: issn: - 2663-337X publication_status: published publisher: Institute of Science and Technology Austria related_material: record: - id: '10012' relation: part_of_dissertation status: public - id: '10013' relation: part_of_dissertation status: public - id: '7489' relation: part_of_dissertation status: public status: public supervisor: - first_name: Julian L full_name: Fischer, Julian L id: 2C12A0B0-F248-11E8-B48F-1D18A9856A87 last_name: Fischer orcid: 0000-0002-0479-558X title: 'Curvature driven interface evolution: Uniqueness properties of weak solution concepts' type: dissertation user_id: ba8df636-2132-11f1-aed0-ed93e2281fdd year: '2021' ... --- _id: '10013' abstract: - lang: eng text: We derive a weak-strong uniqueness principle for BV solutions to multiphase mean curvature flow of triple line clusters in three dimensions. Our proof is based on the explicit construction of a gradient-flow calibration in the sense of the recent work of Fischer et al. [arXiv:2003.05478] for any such cluster. This extends the two-dimensional construction to the three-dimensional case of surfaces meeting along triple junctions. acknowledgement: This project has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No 948819), and from the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany’s Excellence Strategy – EXC-2047/1 – 390685813. article_number: '2108.01733' article_processing_charge: No arxiv: 1 author: - first_name: Sebastian full_name: Hensel, Sebastian id: 4D23B7DA-F248-11E8-B48F-1D18A9856A87 last_name: Hensel orcid: 0000-0001-7252-8072 - first_name: Tim full_name: Laux, Tim last_name: Laux citation: ama: Hensel S, Laux T. Weak-strong uniqueness for the mean curvature flow of double bubbles. arXiv. doi:10.48550/arXiv.2108.01733 apa: Hensel, S., & Laux, T. (n.d.). Weak-strong uniqueness for the mean curvature flow of double bubbles. arXiv. https://doi.org/10.48550/arXiv.2108.01733 chicago: Hensel, Sebastian, and Tim Laux. “Weak-Strong Uniqueness for the Mean Curvature Flow of Double Bubbles.” ArXiv, n.d. https://doi.org/10.48550/arXiv.2108.01733. ieee: S. Hensel and T. Laux, “Weak-strong uniqueness for the mean curvature flow of double bubbles,” arXiv. . ista: Hensel S, Laux T. Weak-strong uniqueness for the mean curvature flow of double bubbles. arXiv, 2108.01733. mla: Hensel, Sebastian, and Tim Laux. “Weak-Strong Uniqueness for the Mean Curvature Flow of Double Bubbles.” ArXiv, 2108.01733, doi:10.48550/arXiv.2108.01733. short: S. Hensel, T. Laux, ArXiv (n.d.). corr_author: '1' date_created: 2021-09-13T12:17:11Z date_published: 2021-08-03T00:00:00Z date_updated: 2026-04-08T07:01:01Z day: '03' department: - _id: JuFi doi: 10.48550/arXiv.2108.01733 ec_funded: 1 external_id: arxiv: - '2108.01733' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/2108.01733 month: '08' oa: 1 oa_version: Preprint project: - _id: 0aa76401-070f-11eb-9043-b5bb049fa26d call_identifier: H2020 grant_number: '948819' name: Bridging Scales in Random Materials publication: arXiv publication_status: draft related_material: record: - id: '13043' relation: later_version status: public - id: '10007' relation: dissertation_contains status: public status: public title: Weak-strong uniqueness for the mean curvature flow of double bubbles type: preprint user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 year: '2021' ... --- _id: '10023' abstract: - lang: eng text: We study the temporal dissipation of variance and relative entropy for ergodic Markov Chains in continuous time, and compute explicitly the corresponding dissipation rates. These are identified, as is well known, in the case of the variance in terms of an appropriate Hilbertian norm; and in the case of the relative entropy, in terms of a Dirichlet form which morphs into a version of the familiar Fisher information under conditions of detailed balance. Here we obtain trajectorial versions of these results, valid along almost every path of the random motion and most transparent in the backwards direction of time. Martingale arguments and time reversal play crucial roles, as in the recent work of Karatzas, Schachermayer and Tschiderer for conservative diffusions. Extensions are developed to general “convex divergences” and to countable state-spaces. The steepest descent and gradient flow properties for the variance, the relative entropy, and appropriate generalizations, are studied along with their respective geometries under conditions of detailed balance, leading to a very direct proof for the HWI inequality of Otto and Villani in the present context. acknowledgement: I.K. acknowledges support from the U.S. National Science Foundation under Grant NSF-DMS-20-04997. J.M. acknowledges support from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No 716117) and from the Austrian Science Fund (FWF) through project F65. W.S. acknowledges support from the Austrian Science Fund (FWF) under grant P28861 and by the Vienna Science and Technology Fund (WWTF) through projects MA14-008 and MA16-021. article_processing_charge: No article_type: original arxiv: 1 author: - first_name: Ioannis full_name: Karatzas, Ioannis last_name: Karatzas - first_name: Jan full_name: Maas, Jan id: 4C5696CE-F248-11E8-B48F-1D18A9856A87 last_name: Maas orcid: 0000-0002-0845-1338 - first_name: Walter full_name: Schachermayer, Walter last_name: Schachermayer citation: ama: Karatzas I, Maas J, Schachermayer W. Trajectorial dissipation and gradient flow for the relative entropy in Markov chains. Communications in Information and Systems. 2021;21(4):481-536. doi:10.4310/CIS.2021.v21.n4.a1 apa: Karatzas, I., Maas, J., & Schachermayer, W. (2021). Trajectorial dissipation and gradient flow for the relative entropy in Markov chains. Communications in Information and Systems. International Press. https://doi.org/10.4310/CIS.2021.v21.n4.a1 chicago: Karatzas, Ioannis, Jan Maas, and Walter Schachermayer. “Trajectorial Dissipation and Gradient Flow for the Relative Entropy in Markov Chains.” Communications in Information and Systems. International Press, 2021. https://doi.org/10.4310/CIS.2021.v21.n4.a1. ieee: I. Karatzas, J. Maas, and W. Schachermayer, “Trajectorial dissipation and gradient flow for the relative entropy in Markov chains,” Communications in Information and Systems, vol. 21, no. 4. International Press, pp. 481–536, 2021. ista: Karatzas I, Maas J, Schachermayer W. 2021. Trajectorial dissipation and gradient flow for the relative entropy in Markov chains. Communications in Information and Systems. 21(4), 481–536. mla: Karatzas, Ioannis, et al. “Trajectorial Dissipation and Gradient Flow for the Relative Entropy in Markov Chains.” Communications in Information and Systems, vol. 21, no. 4, International Press, 2021, pp. 481–536, doi:10.4310/CIS.2021.v21.n4.a1. short: I. Karatzas, J. Maas, W. Schachermayer, Communications in Information and Systems 21 (2021) 481–536. date_created: 2021-09-19T08:53:19Z date_published: 2021-06-04T00:00:00Z date_updated: 2025-04-14T07:27:45Z day: '04' department: - _id: JaMa doi: 10.4310/CIS.2021.v21.n4.a1 ec_funded: 1 external_id: arxiv: - '2005.14177' intvolume: ' 21' issue: '4' keyword: - Markov Chain - relative entropy - time reversal - steepest descent - gradient flow language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/2005.14177 month: '06' oa: 1 oa_version: Preprint page: 481-536 project: - _id: 256E75B8-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '716117' name: Optimal Transport and Stochastic Dynamics - _id: fc31cba2-9c52-11eb-aca3-ff467d239cd2 grant_number: F6504 name: Taming Complexity in Partial Differential Systems publication: Communications in Information and Systems publication_identifier: issn: - 1526-7555 publication_status: published publisher: International Press quality_controlled: '1' status: public title: Trajectorial dissipation and gradient flow for the relative entropy in Markov chains type: journal_article user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9 volume: 21 year: '2021' ... --- _id: '10024' abstract: - lang: eng text: In this paper, we introduce a random environment for the exclusion process in obtained by assigning a maximal occupancy to each site. This maximal occupancy is allowed to randomly vary among sites, and partial exclusion occurs. Under the assumption of ergodicity under translation and uniform ellipticity of the environment, we derive a quenched hydrodynamic limit in path space by strengthening the mild solution approach initiated in Nagy (2002) and Faggionato (2007). To this purpose, we prove, employing the technology developed for the random conductance model, a homogenization result in the form of an arbitrary starting point quenched invariance principle for a single particle in the same environment, which is a result of independent interest. The self-duality property of the partial exclusion process allows us to transfer this homogenization result to the particle system and, then, apply the tightness criterion in Redig et al. (2020). acknowledgement: The authors would like to thank Marek Biskup and Alberto Chiarini for useful suggestions and Cristian Giardina, Frank den Hollander and Shubhamoy Nandan for inspiring discussions. S.F. acknowledges Simona Villa for her help in creating the picture. Furthermore, the authors thank two anonymous referees for the careful reading of the manuscript. S.F. acknowledges financial support from NWO, The Netherlands via the grant TOP1.17.019. F.S. acknowledges financial support from NWO via the TOP1 grant 613.001.552 as well as funding from the European Union’s Horizon 2020 research and innovation programme under the Marie-Skłodowska-Curie grant agreement No. 754411. article_processing_charge: Yes article_type: original arxiv: 1 author: - first_name: Simone full_name: Floreani, Simone last_name: Floreani - first_name: Frank full_name: Redig, Frank last_name: Redig - first_name: Federico full_name: Sau, Federico id: E1836206-9F16-11E9-8814-AEFDE5697425 last_name: Sau citation: ama: Floreani S, Redig F, Sau F. Hydrodynamics for the partial exclusion process in random environment. Stochastic Processes and their Applications. 2021;142:124-158. doi:10.1016/j.spa.2021.08.006 apa: Floreani, S., Redig, F., & Sau, F. (2021). Hydrodynamics for the partial exclusion process in random environment. Stochastic Processes and Their Applications. Elsevier. https://doi.org/10.1016/j.spa.2021.08.006 chicago: Floreani, Simone, Frank Redig, and Federico Sau. “Hydrodynamics for the Partial Exclusion Process in Random Environment.” Stochastic Processes and Their Applications. Elsevier, 2021. https://doi.org/10.1016/j.spa.2021.08.006. ieee: S. Floreani, F. Redig, and F. Sau, “Hydrodynamics for the partial exclusion process in random environment,” Stochastic Processes and their Applications, vol. 142. Elsevier, pp. 124–158, 2021. ista: Floreani S, Redig F, Sau F. 2021. Hydrodynamics for the partial exclusion process in random environment. Stochastic Processes and their Applications. 142, 124–158. mla: Floreani, Simone, et al. “Hydrodynamics for the Partial Exclusion Process in Random Environment.” Stochastic Processes and Their Applications, vol. 142, Elsevier, 2021, pp. 124–58, doi:10.1016/j.spa.2021.08.006. short: S. Floreani, F. Redig, F. Sau, Stochastic Processes and Their Applications 142 (2021) 124–158. date_created: 2021-09-19T22:01:25Z date_published: 2021-08-27T00:00:00Z date_updated: 2025-04-14T07:43:46Z day: '27' ddc: - '519' department: - _id: JaMa doi: 10.1016/j.spa.2021.08.006 ec_funded: 1 external_id: arxiv: - '1911.12564' isi: - '000697748500005' file: - access_level: open_access checksum: 56768c553d7218ee5714902ffec90ec4 content_type: application/pdf creator: dernst date_created: 2022-05-13T07:55:50Z date_updated: 2022-05-13T07:55:50Z file_id: '11370' file_name: 2021_StochasticProcessesAppl_Floreani.pdf file_size: 2115791 relation: main_file success: 1 file_date_updated: 2022-05-13T07:55:50Z has_accepted_license: '1' intvolume: ' 142' isi: 1 keyword: - hydrodynamic limit - random environment - random conductance model - arbitrary starting point quenched invariance principle - duality - mild solution language: - iso: eng month: '08' oa: 1 oa_version: Published Version page: 124-158 project: - _id: 260C2330-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '754411' name: ISTplus - Postdoctoral Fellowships publication: Stochastic Processes and their Applications publication_identifier: issn: - 0304-4149 publication_status: published publisher: Elsevier quality_controlled: '1' scopus_import: '1' status: public title: Hydrodynamics for the partial exclusion process in random environment 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: 142 year: '2021' ... --- _id: '10025' abstract: - lang: eng text: Ferromagnetism is most common in transition metal compounds but may also arise in low-density two-dimensional electron systems, with signatures observed in silicon, III-V semiconductor systems, and graphene moiré heterostructures. Here we show that gate-tuned van Hove singularities in rhombohedral trilayer graphene drive the spontaneous ferromagnetic polarization of the electron system into one or more spin- and valley flavors. Using capacitance measurements on graphite-gated van der Waals heterostructures, we find a cascade of density- and electronic displacement field tuned phase transitions marked by negative electronic compressibility. The transitions define the boundaries between phases where quantum oscillations have either four-fold, two-fold, or one-fold degeneracy, associated with a spin and valley degenerate normal metal, spin-polarized `half-metal', and spin and valley polarized `quarter metal', respectively. For electron doping, the salient features are well captured by a phenomenological Stoner model with a valley-anisotropic Hund's coupling, likely arising from interactions at the lattice scale. For hole filling, we observe a richer phase diagram featuring a delicate interplay of broken symmetries and transitions in the Fermi surface topology. Finally, by rotational alignment of a hexagonal boron nitride substrate to induce a moiré superlattice, we find that the superlattice perturbs the preexisting isospin order only weakly, leaving the basic phase diagram intact while catalyzing the formation of topologically nontrivial gapped states whenever itinerant half- or quarter metal states occur at half- or quarter superlattice band filling. Our results show that rhombohedral trilayer graphene is an ideal platform for well-controlled tests of many-body theory and reveal magnetism in moiré materials to be fundamentally itinerant in nature. acknowledgement: "The authors acknowledge discussions with A. Macdonald, L. Fu, F. Wang and M. Zaletel. AFY acknowledges support of the National Science Foundation under DMR1654186, and the Gordon and Betty Moore Foundation under award GBMF9471. The authors acknowledge the use of the research facilities within the California NanoSystems Institute, supported by the University of California, Santa Barbara and the University of California, Office of the President.\r\nK.W. and T.T. acknowledge support from the Elemental Strategy Initiative conducted by the MEXT, Japan, Grant Number JPMXP0112101001 and JSPS KAKENHI, Grant Number JP20H00354. EB and TH were supported by the European Research Council (ERC) under grant HQMAT (Grant Agreement No. 817799). A.G. acknowledges support by the European Unions Horizon 2020 research and innovation program under the Marie Sklodowska-Curie Grant Agreement\r\nNo. 754411.\r\n" article_processing_charge: No article_type: original arxiv: 1 author: - first_name: Haoxin full_name: Zhou, Haoxin last_name: Zhou - first_name: Tian full_name: Xie, Tian last_name: Xie - first_name: Areg full_name: Ghazaryan, Areg id: 4AF46FD6-F248-11E8-B48F-1D18A9856A87 last_name: Ghazaryan orcid: 0000-0001-9666-3543 - first_name: Tobias full_name: Holder, Tobias last_name: Holder - first_name: James R. full_name: Ehrets, James R. last_name: Ehrets - first_name: Eric M. full_name: Spanton, Eric M. last_name: Spanton - first_name: Takashi full_name: Taniguchi, Takashi last_name: Taniguchi - first_name: Kenji full_name: Watanabe, Kenji last_name: Watanabe - first_name: Erez full_name: Berg, Erez last_name: Berg - first_name: Maksym full_name: Serbyn, Maksym id: 47809E7E-F248-11E8-B48F-1D18A9856A87 last_name: Serbyn orcid: 0000-0002-2399-5827 - first_name: Andrea F. full_name: Young, Andrea F. last_name: Young citation: ama: Zhou H, Xie T, Ghazaryan A, et al. Half and quarter metals in rhombohedral trilayer graphene. Nature. 2021. doi:10.1038/s41586-021-03938-w apa: Zhou, H., Xie, T., Ghazaryan, A., Holder, T., Ehrets, J. R., Spanton, E. M., … Young, A. F. (2021). Half and quarter metals in rhombohedral trilayer graphene. Nature. Springer Nature. https://doi.org/10.1038/s41586-021-03938-w chicago: Zhou, Haoxin, Tian Xie, Areg Ghazaryan, Tobias Holder, James R. Ehrets, Eric M. Spanton, Takashi Taniguchi, et al. “Half and Quarter Metals in Rhombohedral Trilayer Graphene.” Nature. Springer Nature, 2021. https://doi.org/10.1038/s41586-021-03938-w. ieee: H. Zhou et al., “Half and quarter metals in rhombohedral trilayer graphene,” Nature. Springer Nature, 2021. ista: Zhou H, Xie T, Ghazaryan A, Holder T, Ehrets JR, Spanton EM, Taniguchi T, Watanabe K, Berg E, Serbyn M, Young AF. 2021. Half and quarter metals in rhombohedral trilayer graphene. Nature. mla: Zhou, Haoxin, et al. “Half and Quarter Metals in Rhombohedral Trilayer Graphene.” Nature, Springer Nature, 2021, doi:10.1038/s41586-021-03938-w. short: H. Zhou, T. Xie, A. Ghazaryan, T. Holder, J.R. Ehrets, E.M. Spanton, T. Taniguchi, K. Watanabe, E. Berg, M. Serbyn, A.F. Young, Nature (2021). date_created: 2021-09-19T22:01:25Z date_published: 2021-09-01T00:00:00Z date_updated: 2025-04-14T07:43:46Z day: '01' department: - _id: MaSe - _id: MiLe doi: 10.1038/s41586-021-03938-w ec_funded: 1 external_id: arxiv: - '2104.00653' isi: - '000706977400002' isi: 1 keyword: - condensed matter - mesoscale and nanoscale physics - condensed matter - strongly correlated electrons - multidisciplinary language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/2104.00653 month: '09' oa: 1 oa_version: Preprint project: - _id: 260C2330-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '754411' name: ISTplus - Postdoctoral Fellowships publication: Nature publication_identifier: eissn: - 1476-4687 issn: - 0028-0836 publication_status: published publisher: Springer Nature quality_controlled: '1' related_material: link: - relation: erratum url: https://doi.org/10.1038/s41586-021-04181-z scopus_import: '1' status: public title: Half and quarter metals in rhombohedral trilayer graphene type: journal_article user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 year: '2021' ... --- _id: '10029' abstract: - lang: eng text: Superconductor-semiconductor hybrids are platforms for realizing effective p-wave superconductivity. Spin-orbit coupling, combined with the proximity effect, causes the two-dimensional semiconductor to inherit p±ip intraband pairing, and application of magnetic field can then result in transitions to the normal state, partial Bogoliubov Fermi surfaces, or topological phases with Majorana modes. Experimentally probing the hybrid superconductor-semiconductor interface is challenging due to the shunting effect of the conventional superconductor. Consequently, the nature of induced pairing remains an open question. Here, we use the circuit quantum electrodynamics architecture to probe induced superconductivity in a two dimensional Al-InAs hybrid system. We observe a strong suppression of superfluid density and enhanced dissipation driven by magnetic field, which cannot be accounted for by the depairing theory of an s-wave superconductor. These observations are explained by a picture of independent intraband p±ip superconductors giving way to partial Bogoliubov Fermi surfaces, and allow for the first characterization of key properties of the hybrid superconducting system. acknowledged_ssus: - _id: M-Shop - _id: NanoFab acknowledgement: This research was supported by the Scientific Service Units of IST Austria through resources provided by the MIBA Machine Shop and the nanofabrication facility. JS and AG were supported by funding from the European Union’s Horizon 2020 research and innovation program under the Marie Sklodowska-Curie Grant Agreement No.754411. article_number: '2107.03695' article_processing_charge: No arxiv: 1 author: - first_name: Duc T full_name: Phan, Duc T id: 29C8C0B4-F248-11E8-B48F-1D18A9856A87 last_name: Phan - first_name: Jorden L full_name: Senior, Jorden L id: 5479D234-2D30-11EA-89CC-40953DDC885E last_name: Senior orcid: 0000-0002-0672-9295 - first_name: Areg full_name: Ghazaryan, Areg id: 4AF46FD6-F248-11E8-B48F-1D18A9856A87 last_name: Ghazaryan orcid: 0000-0001-9666-3543 - first_name: M. full_name: Hatefipour, M. last_name: Hatefipour - first_name: W. M. full_name: Strickland, W. M. last_name: Strickland - first_name: J. full_name: Shabani, J. last_name: Shabani - first_name: Maksym full_name: Serbyn, Maksym id: 47809E7E-F248-11E8-B48F-1D18A9856A87 last_name: Serbyn orcid: 0000-0002-2399-5827 - first_name: Andrew P full_name: Higginbotham, Andrew P id: 4AD6785A-F248-11E8-B48F-1D18A9856A87 last_name: Higginbotham orcid: 0000-0003-2607-2363 citation: ama: Phan DT, Senior JL, Ghazaryan A, et al. Breakdown of induced p±ip pairing in a superconductor-semiconductor hybrid. arXiv. doi:10.48550/arXiv.2107.03695 apa: Phan, D. T., Senior, J. L., Ghazaryan, A., Hatefipour, M., Strickland, W. M., Shabani, J., … Higginbotham, A. P. (n.d.). Breakdown of induced p±ip pairing in a superconductor-semiconductor hybrid. arXiv. https://doi.org/10.48550/arXiv.2107.03695 chicago: Phan, Duc T, Jorden L Senior, Areg Ghazaryan, M. Hatefipour, W. M. Strickland, J. Shabani, Maksym Serbyn, and Andrew P Higginbotham. “Breakdown of Induced P±ip Pairing in a Superconductor-Semiconductor Hybrid.” ArXiv, n.d. https://doi.org/10.48550/arXiv.2107.03695. ieee: D. T. Phan et al., “Breakdown of induced p±ip pairing in a superconductor-semiconductor hybrid,” arXiv. . ista: Phan DT, Senior JL, Ghazaryan A, Hatefipour M, Strickland WM, Shabani J, Serbyn M, Higginbotham AP. Breakdown of induced p±ip pairing in a superconductor-semiconductor hybrid. arXiv, 2107.03695. mla: Phan, Duc T., et al. “Breakdown of Induced P±ip Pairing in a Superconductor-Semiconductor Hybrid.” ArXiv, 2107.03695, doi:10.48550/arXiv.2107.03695. short: D.T. Phan, J.L. Senior, A. Ghazaryan, M. Hatefipour, W.M. Strickland, J. Shabani, M. Serbyn, A.P. Higginbotham, ArXiv (n.d.). date_created: 2021-09-21T08:41:02Z date_published: 2021-07-08T00:00:00Z date_updated: 2025-04-15T06:54:43Z day: '08' department: - _id: MaSe - _id: AnHi - _id: MiLe doi: 10.48550/arXiv.2107.03695 ec_funded: 1 external_id: arxiv: - '2107.03695' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/2107.03695 month: '07' oa: 1 oa_version: Preprint project: - _id: 260C2330-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '754411' name: ISTplus - Postdoctoral Fellowships publication: arXiv publication_status: draft related_material: record: - id: '9636' relation: research_data status: public - id: '10851' relation: later_version status: public status: public title: Breakdown of induced p±ip pairing in a superconductor-semiconductor hybrid type: preprint user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 year: '2021' ... --- OA_place: publisher _id: '10030' abstract: - lang: eng text: "This PhD thesis is primarily focused on the study of discrete transport problems, introduced for the first time in the seminal works of Maas [Maa11] and Mielke [Mie11] on finite state Markov chains and reaction-diffusion equations, respectively. More in detail, my research focuses on the study of transport costs on graphs, in particular the convergence and the stability of such problems in the discrete-to-continuum limit. This thesis also includes some results concerning\r\nnon-commutative optimal transport. The first chapter of this thesis consists of a general introduction to the optimal transport problems, both in the discrete, the continuous, and the non-commutative setting. Chapters 2 and 3 present the content of two works, obtained in collaboration with Peter Gladbach, Eva Kopfer, and Jan Maas, where we have been able to show the convergence of discrete transport costs on periodic graphs to suitable continuous ones, which can be described by means of a homogenisation result. We first focus on the particular case of quadratic costs on the real line and then extending the result to more general costs in arbitrary dimension. Our results are the first complete characterisation of limits of transport costs on periodic graphs in arbitrary dimension which do not rely on any additional symmetry. In Chapter 4 we turn our attention to one of the intriguing connection between evolution equations and optimal transport, represented by the theory of gradient flows. We show that discrete gradient flow structures associated to a finite volume approximation of a certain class of diffusive equations (Fokker–Planck) is stable in the limit of vanishing meshes, reproving the convergence of the scheme via the method of evolutionary Γ-convergence and exploiting a more variational point of view on the problem. This is based on a collaboration with Dominik Forkert and Jan Maas. Chapter 5 represents a change of perspective, moving away from the discrete world and reaching the non-commutative one. As in the discrete case, we discuss how classical tools coming from the commutative optimal transport can be translated into the setting of density matrices. In particular, in this final chapter we present a non-commutative version of the Schrödinger problem (or entropic regularised optimal transport problem) and discuss existence and characterisation of minimisers, a duality result, and present a non-commutative version of the well-known Sinkhorn algorithm to compute the above mentioned optimisers. This is based on a joint work with Dario Feliciangeli and Augusto Gerolin. Finally, Appendix A and B contain some additional material and discussions, with particular attention to Harnack inequalities and the regularity of flows on discrete spaces." acknowledged_ssus: - _id: M-Shop - _id: NanoFab acknowledgement: The author gratefully acknowledges support by the Austrian Science Fund (FWF), grants No W1245. alternative_title: - ISTA Thesis article_processing_charge: No author: - first_name: Lorenzo full_name: Portinale, Lorenzo id: 30AD2CBC-F248-11E8-B48F-1D18A9856A87 last_name: Portinale citation: ama: Portinale L. Discrete-to-continuum limits of transport problems and gradient flows in the space of measures. 2021. doi:10.15479/at:ista:10030 apa: Portinale, L. (2021). Discrete-to-continuum limits of transport problems and gradient flows in the space of measures. Institute of Science and Technology Austria. https://doi.org/10.15479/at:ista:10030 chicago: Portinale, Lorenzo. “Discrete-to-Continuum Limits of Transport Problems and Gradient Flows in the Space of Measures.” Institute of Science and Technology Austria, 2021. https://doi.org/10.15479/at:ista:10030. ieee: L. Portinale, “Discrete-to-continuum limits of transport problems and gradient flows in the space of measures,” Institute of Science and Technology Austria, 2021. ista: Portinale L. 2021. Discrete-to-continuum limits of transport problems and gradient flows in the space of measures. Institute of Science and Technology Austria. mla: Portinale, Lorenzo. Discrete-to-Continuum Limits of Transport Problems and Gradient Flows in the Space of Measures. Institute of Science and Technology Austria, 2021, doi:10.15479/at:ista:10030. short: L. Portinale, Discrete-to-Continuum Limits of Transport Problems and Gradient Flows in the Space of Measures, Institute of Science and Technology Austria, 2021. corr_author: '1' date_created: 2021-09-21T09:14:15Z date_published: 2021-09-22T00:00:00Z date_updated: 2026-04-08T07:00:04Z day: '22' ddc: - '515' degree_awarded: PhD department: - _id: GradSch - _id: JaMa doi: 10.15479/at:ista:10030 file: - access_level: closed checksum: 8cd60dcb8762e8f21867e21e8001e183 content_type: application/x-zip-compressed creator: cchlebak date_created: 2021-09-21T09:17:34Z date_updated: 2022-03-10T12:14:42Z file_id: '10032' file_name: tex_and_pictures.zip file_size: 3876668 relation: source_file - access_level: open_access checksum: 9789e9d967c853c1503ec7f307170279 content_type: application/pdf creator: cchlebak date_created: 2021-09-27T11:14:31Z date_updated: 2021-09-27T11:14:31Z file_id: '10047' file_name: thesis_portinale_Final (1).pdf file_size: 2532673 relation: main_file file_date_updated: 2022-03-10T12:14:42Z has_accepted_license: '1' language: - iso: eng month: '09' oa: 1 oa_version: Published Version project: - _id: 260788DE-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: W1245 name: Dissipation and dispersion in nonlinear partial differential equations - _id: fc31cba2-9c52-11eb-aca3-ff467d239cd2 grant_number: F6504 name: Taming Complexity in Partial Differential Systems publication_identifier: issn: - 2663-337X publication_status: published publisher: Institute of Science and Technology Austria related_material: record: - id: '9792' relation: part_of_dissertation status: public - id: '10022' relation: part_of_dissertation status: public - id: '7573' relation: part_of_dissertation status: public status: public supervisor: - first_name: Jan full_name: Maas, Jan id: 4C5696CE-F248-11E8-B48F-1D18A9856A87 last_name: Maas orcid: 0000-0002-0845-1338 title: Discrete-to-continuum limits of transport problems and gradient flows in the space of measures 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: dissertation user_id: ba8df636-2132-11f1-aed0-ed93e2281fdd year: '2021' ... --- _id: '10033' abstract: - lang: eng text: The ⊗*-monoidal structure on the category of sheaves on the Ran space is not pro-nilpotent in the sense of [3]. However, under some connectivity assumptions, we prove that Koszul duality induces an equivalence of categories and that this equivalence behaves nicely with respect to Verdier duality on the Ran space and integrating along the Ran space, i.e. taking factorization homology. Based on ideas sketched in [4], we show that these results also offer a simpler alternative to one of the two main steps in the proof of the Atiyah-Bott formula given in [7] and [5]. acknowledgement: 'The author would like to express his gratitude to D. Gaitsgory, without whose tireless guidance and encouragement in pursuing this problem, this work would not have been possible. The author is grateful to his advisor B.C. Ngô for many years of patient guidance and support. This paper is revised while the author is a postdoc in Hausel group at IST Austria. We thank him and the group for providing a wonderful research environment. The author also gratefully acknowledges the support of the Lise Meitner fellowship “Algebro-Geometric Applications of Factorization Homology,” Austrian Science Fund (FWF): M 2751.' article_number: '107992' article_processing_charge: Yes (via OA deal) article_type: original arxiv: 1 author: - first_name: Quoc P full_name: Ho, Quoc P id: 3DD82E3C-F248-11E8-B48F-1D18A9856A87 last_name: Ho orcid: 0000-0001-6889-1418 citation: ama: Ho QP. The Atiyah-Bott formula and connectivity in chiral Koszul duality. Advances in Mathematics. 2021;392. doi:10.1016/j.aim.2021.107992 apa: Ho, Q. P. (2021). The Atiyah-Bott formula and connectivity in chiral Koszul duality. Advances in Mathematics. Elsevier. https://doi.org/10.1016/j.aim.2021.107992 chicago: Ho, Quoc P. “The Atiyah-Bott Formula and Connectivity in Chiral Koszul Duality.” Advances in Mathematics. Elsevier, 2021. https://doi.org/10.1016/j.aim.2021.107992. ieee: Q. P. Ho, “The Atiyah-Bott formula and connectivity in chiral Koszul duality,” Advances in Mathematics, vol. 392. Elsevier, 2021. ista: Ho QP. 2021. The Atiyah-Bott formula and connectivity in chiral Koszul duality. Advances in Mathematics. 392, 107992. mla: Ho, Quoc P. “The Atiyah-Bott Formula and Connectivity in Chiral Koszul Duality.” Advances in Mathematics, vol. 392, 107992, Elsevier, 2021, doi:10.1016/j.aim.2021.107992. short: Q.P. Ho, Advances in Mathematics 392 (2021). corr_author: '1' date_created: 2021-09-21T15:58:59Z date_published: 2021-09-21T00:00:00Z date_updated: 2025-04-14T09:09:35Z day: '21' ddc: - '514' department: - _id: TaHa doi: 10.1016/j.aim.2021.107992 external_id: arxiv: - '1610.00212' isi: - '000707040300031' file: - access_level: open_access checksum: f3c0086d41af11db31c00014efb38072 content_type: application/pdf creator: qho date_created: 2021-09-21T15:58:52Z date_updated: 2021-09-21T15:58:52Z file_id: '10034' file_name: 1-s2.0-S000187082100431X-main.pdf file_size: 840635 relation: main_file file_date_updated: 2021-09-21T15:58:52Z has_accepted_license: '1' intvolume: ' 392' isi: 1 keyword: - Chiral algebras - Chiral homology - Factorization algebras - Koszul duality - Ran space language: - iso: eng month: '09' oa: 1 oa_version: Published Version project: - _id: 26B96266-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: M02751 name: Algebro-Geometric Applications of Factorization Homology publication: Advances in Mathematics publication_identifier: eissn: - 1090-2082 issn: - 0001-8708 publication_status: published publisher: Elsevier quality_controlled: '1' scopus_import: '1' status: public title: The Atiyah-Bott formula and connectivity in chiral Koszul duality 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: 392 year: '2021' ...