--- _id: '10862' abstract: - lang: eng text: We consider the sum of two large Hermitian matrices A and B with a Haar unitary conjugation bringing them into a general relative position. We prove that the eigenvalue density on the scale slightly above the local eigenvalue spacing is asymptotically given by the free additive convolution of the laws of A and B as the dimension of the matrix increases. This implies optimal rigidity of the eigenvalues and optimal rate of convergence in Voiculescu's theorem. Our previous works [4], [5] established these results in the bulk spectrum, the current paper completely settles the problem at the spectral edges provided they have the typical square-root behavior. The key element of our proof is to compensate the deterioration of the stability of the subordination equations by sharp error estimates that properly account for the local density near the edge. Our results also hold if the Haar unitary matrix is replaced by the Haar orthogonal matrix. acknowledgement: Partially supported by ERC Advanced Grant RANMAT No. 338804. article_number: '108639' article_processing_charge: No article_type: original arxiv: 1 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 last_name: Schnelli citation: ama: Bao Z, Erdös L, Schnelli K. Spectral rigidity for addition of random matrices at the regular edge. Journal of Functional Analysis. 2020;279(7). doi:10.1016/j.jfa.2020.108639 apa: Bao, Z., Erdös, L., & Schnelli, K. (2020). Spectral rigidity for addition of random matrices at the regular edge. Journal of Functional Analysis. Elsevier. https://doi.org/10.1016/j.jfa.2020.108639 chicago: Bao, Zhigang, László Erdös, and Kevin Schnelli. “Spectral Rigidity for Addition of Random Matrices at the Regular Edge.” Journal of Functional Analysis. Elsevier, 2020. https://doi.org/10.1016/j.jfa.2020.108639. ieee: Z. Bao, L. Erdös, and K. Schnelli, “Spectral rigidity for addition of random matrices at the regular edge,” Journal of Functional Analysis, vol. 279, no. 7. Elsevier, 2020. ista: Bao Z, Erdös L, Schnelli K. 2020. Spectral rigidity for addition of random matrices at the regular edge. Journal of Functional Analysis. 279(7), 108639. mla: Bao, Zhigang, et al. “Spectral Rigidity for Addition of Random Matrices at the Regular Edge.” Journal of Functional Analysis, vol. 279, no. 7, 108639, Elsevier, 2020, doi:10.1016/j.jfa.2020.108639. short: Z. Bao, L. Erdös, K. Schnelli, Journal of Functional Analysis 279 (2020). date_created: 2022-03-18T10:18:59Z date_published: 2020-10-15T00:00:00Z date_updated: 2023-08-24T14:08:42Z day: '15' department: - _id: LaEr doi: 10.1016/j.jfa.2020.108639 ec_funded: 1 external_id: arxiv: - '1708.01597' isi: - '000559623200009' intvolume: ' 279' isi: 1 issue: '7' keyword: - Analysis language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/1708.01597 month: '10' oa: 1 oa_version: Preprint project: - _id: 258DCDE6-B435-11E9-9278-68D0E5697425 call_identifier: FP7 grant_number: '338804' name: Random matrices, universality and disordered quantum systems publication: Journal of Functional Analysis publication_identifier: issn: - 0022-1236 publication_status: published publisher: Elsevier quality_controlled: '1' scopus_import: '1' status: public title: Spectral rigidity for addition of random matrices at the regular edge type: journal_article user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 279 year: '2020' ... --- _id: '10865' abstract: - lang: eng text: "We introduce the notion of Witness Maps as a cryptographic notion of a proof system. A Unique Witness Map (UWM) deterministically maps all witnesses for an \ NP statement to a single representative witness, resulting in a computationally sound, deterministic-prover, non-interactive witness independent proof system. A relaxation of UWM, called Compact Witness Map (CWM), maps all the witnesses to a small number of witnesses, resulting in a “lossy” deterministic-prover, non-interactive proof-system. We also define a Dual Mode Witness Map (DMWM) which adds an “extractable” mode to a CWM.\r\nOur main construction is a DMWM for all NP relations, assuming sub-exponentially secure indistinguishability obfuscation ( iO ), along with standard cryptographic assumptions. The DMWM construction relies on a CWM and a new primitive called Cumulative All-Lossy-But-One Trapdoor Functions (C-ALBO-TDF), both of which are in turn instantiated based on iO and other primitives. Our instantiation of a CWM is in fact a UWM; in turn, we show that a UWM implies Witness Encryption. Along the way to constructing UWM and C-ALBO-TDF, we also construct, from standard assumptions, Puncturable Digital Signatures and a new primitive called Cumulative Lossy Trapdoor Functions (C-LTDF). The former improves up on a construction of Bellare et al. (Eurocrypt 2016), who relied on sub-exponentially secure iO and sub-exponentially secure OWF.\r\nAs an application of our constructions, we show how to use a DMWM to construct the first leakage and tamper-resilient signatures with a deterministic signer, thereby solving a decade old open problem posed by Katz and Vaikunthanathan (Asiacrypt 2009), by Boyle, Segev and Wichs (Eurocrypt 2011), as well as by Faonio and Venturi (Asiacrypt 2016). Our construction achieves the optimal leakage rate of 1−o(1) ." acknowledgement: We would like to thank the anonymous reviewers of PKC 2019 for their useful comments and suggestions. We thank Omer Paneth for pointing out to us the connection between Unique Witness Maps (UWM) and Witness encryption (WE). The first author would like to acknowledge Pandu Rangan for his involvement during the initial discussion phase of the project. article_processing_charge: No author: - first_name: Suvradip full_name: Chakraborty, Suvradip id: B9CD0494-D033-11E9-B219-A439E6697425 last_name: Chakraborty - first_name: Manoj full_name: Prabhakaran, Manoj last_name: Prabhakaran - first_name: Daniel full_name: Wichs, Daniel last_name: Wichs citation: ama: 'Chakraborty S, Prabhakaran M, Wichs D. Witness maps and applications. In: Kiayias A, ed. Public-Key Cryptography. Vol 12110. LNCS. Cham: Springer Nature; 2020:220-246. doi:10.1007/978-3-030-45374-9_8' apa: 'Chakraborty, S., Prabhakaran, M., & Wichs, D. (2020). Witness maps and applications. In A. Kiayias (Ed.), Public-Key Cryptography (Vol. 12110, pp. 220–246). Cham: Springer Nature. https://doi.org/10.1007/978-3-030-45374-9_8' chicago: 'Chakraborty, Suvradip, Manoj Prabhakaran, and Daniel Wichs. “Witness Maps and Applications.” In Public-Key Cryptography, edited by A Kiayias, 12110:220–46. LNCS. Cham: Springer Nature, 2020. https://doi.org/10.1007/978-3-030-45374-9_8.' ieee: 'S. Chakraborty, M. Prabhakaran, and D. Wichs, “Witness maps and applications,” in Public-Key Cryptography, vol. 12110, A. Kiayias, Ed. Cham: Springer Nature, 2020, pp. 220–246.' ista: 'Chakraborty S, Prabhakaran M, Wichs D. 2020.Witness maps and applications. In: Public-Key Cryptography. vol. 12110, 220–246.' mla: Chakraborty, Suvradip, et al. “Witness Maps and Applications.” Public-Key Cryptography, edited by A Kiayias, vol. 12110, Springer Nature, 2020, pp. 220–46, doi:10.1007/978-3-030-45374-9_8. short: S. Chakraborty, M. Prabhakaran, D. Wichs, in:, A. Kiayias (Ed.), Public-Key Cryptography, Springer Nature, Cham, 2020, pp. 220–246. date_created: 2022-03-18T11:35:51Z date_published: 2020-04-29T00:00:00Z date_updated: 2023-09-05T15:10:02Z day: '29' doi: 10.1007/978-3-030-45374-9_8 editor: - first_name: A full_name: Kiayias, A last_name: Kiayias intvolume: ' 12110' language: - iso: eng main_file_link: - open_access: '1' url: https://eprint.iacr.org/2020/090 month: '04' oa: 1 oa_version: Preprint page: 220-246 place: Cham publication: Public-Key Cryptography publication_identifier: eissn: - 1611-3349 isbn: - '9783030453732' - '9783030453749' issn: - 0302-9743 publication_status: published publisher: Springer Nature quality_controlled: '1' scopus_import: '1' series_title: LNCS status: public title: Witness maps and applications type: book_chapter user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1 volume: 12110 year: '2020' ... --- _id: '10866' abstract: - lang: eng text: Recent discoveries have shown that, when two layers of van der Waals (vdW) materials are superimposed with a relative twist angle between them, the electronic properties of the coupled system can be dramatically altered. Here, we demonstrate that a similar concept can be extended to the optics realm, particularly to propagating phonon polaritons–hybrid light-matter interactions. To do this, we fabricate stacks composed of two twisted slabs of a vdW crystal (α-MoO3) supporting anisotropic phonon polaritons (PhPs), and image the propagation of the latter when launched by localized sources. Our images reveal that, under a critical angle, the PhPs isofrequency curve undergoes a topological transition, in which the propagation of PhPs is strongly guided (canalization regime) along predetermined directions without geometric spreading. These results demonstrate a new degree of freedom (twist angle) for controlling the propagation of polaritons at the nanoscale with potential for nanoimaging, (bio)-sensing, or heat management. acknowledgement: "J.T.-G. and G.Á.-P. acknowledge support through the Severo Ochoa Program from the\r\nGovernment of the Principality of Asturias (nos. PA-18-PF-BP17-126 and PA20-PF-BP19-053,\r\nrespectively). J. M-S acknowledges financial support through the Ramón y Cajal Program from\r\nthe Government of Spain (RYC2018-026196-I). A.Y.N. acknowledges the Spanish Ministry of\r\nScience, Innovation and Universities (national project no. MAT201788358-C3-3-R). P.A.-G.\r\nacknowledges support from the European Research Council under starting grant no. 715496,\r\n2DNANOPTICA." article_processing_charge: No article_type: original arxiv: 1 author: - first_name: Jiahua full_name: Duan, Jiahua last_name: Duan - first_name: Nathaniel full_name: Capote-Robayna, Nathaniel last_name: Capote-Robayna - first_name: Javier full_name: Taboada-Gutiérrez, Javier last_name: Taboada-Gutiérrez - first_name: Gonzalo full_name: Álvarez-Pérez, Gonzalo last_name: Álvarez-Pérez - first_name: Ivan full_name: Prieto Gonzalez, Ivan id: 2A307FE2-F248-11E8-B48F-1D18A9856A87 last_name: Prieto Gonzalez orcid: 0000-0002-7370-5357 - first_name: Javier full_name: Martín-Sánchez, Javier last_name: Martín-Sánchez - first_name: Alexey Y. full_name: Nikitin, Alexey Y. last_name: Nikitin - first_name: Pablo full_name: Alonso-González, Pablo last_name: Alonso-González citation: ama: 'Duan J, Capote-Robayna N, Taboada-Gutiérrez J, et al. Twisted nano-optics: Manipulating light at the nanoscale with twisted phonon polaritonic slabs. Nano Letters. 2020;20(7):5323-5329. doi:10.1021/acs.nanolett.0c01673' apa: 'Duan, J., Capote-Robayna, N., Taboada-Gutiérrez, J., Álvarez-Pérez, G., Prieto Gonzalez, I., Martín-Sánchez, J., … Alonso-González, P. (2020). Twisted nano-optics: Manipulating light at the nanoscale with twisted phonon polaritonic slabs. Nano Letters. American Chemical Society. https://doi.org/10.1021/acs.nanolett.0c01673' chicago: 'Duan, Jiahua, Nathaniel Capote-Robayna, Javier Taboada-Gutiérrez, Gonzalo Álvarez-Pérez, Ivan Prieto Gonzalez, Javier Martín-Sánchez, Alexey Y. Nikitin, and Pablo Alonso-González. “Twisted Nano-Optics: Manipulating Light at the Nanoscale with Twisted Phonon Polaritonic Slabs.” Nano Letters. American Chemical Society, 2020. https://doi.org/10.1021/acs.nanolett.0c01673.' ieee: 'J. Duan et al., “Twisted nano-optics: Manipulating light at the nanoscale with twisted phonon polaritonic slabs,” Nano Letters, vol. 20, no. 7. American Chemical Society, pp. 5323–5329, 2020.' ista: 'Duan J, Capote-Robayna N, Taboada-Gutiérrez J, Álvarez-Pérez G, Prieto Gonzalez I, Martín-Sánchez J, Nikitin AY, Alonso-González P. 2020. Twisted nano-optics: Manipulating light at the nanoscale with twisted phonon polaritonic slabs. Nano Letters. 20(7), 5323–5329.' mla: 'Duan, Jiahua, et al. “Twisted Nano-Optics: Manipulating Light at the Nanoscale with Twisted Phonon Polaritonic Slabs.” Nano Letters, vol. 20, no. 7, American Chemical Society, 2020, pp. 5323–29, doi:10.1021/acs.nanolett.0c01673.' short: J. Duan, N. Capote-Robayna, J. Taboada-Gutiérrez, G. Álvarez-Pérez, I. Prieto Gonzalez, J. Martín-Sánchez, A.Y. Nikitin, P. Alonso-González, Nano Letters 20 (2020) 5323–5329. date_created: 2022-03-18T11:37:38Z date_published: 2020-07-01T00:00:00Z date_updated: 2023-09-05T12:05:58Z day: '01' department: - _id: NanoFab doi: 10.1021/acs.nanolett.0c01673 external_id: arxiv: - '2004.14599' isi: - '000548893200082' pmid: - '32530634' intvolume: ' 20' isi: 1 issue: '7' keyword: - Mechanical Engineering - Condensed Matter Physics - General Materials Science - General Chemistry - Bioengineering language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/2004.14599 month: '07' oa: 1 oa_version: Preprint page: 5323-5329 pmid: 1 publication: Nano Letters publication_identifier: eissn: - 1530-6992 issn: - 1530-6984 publication_status: published publisher: American Chemical Society quality_controlled: '1' scopus_import: '1' status: public title: 'Twisted nano-optics: Manipulating light at the nanoscale with twisted phonon polaritonic slabs' type: journal_article user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1 volume: 20 year: '2020' ... --- _id: '10867' abstract: - lang: eng text: In this paper we find a tight estimate for Gromov’s waist of the balls in spaces of constant curvature, deduce the estimates for the balls in Riemannian manifolds with upper bounds on the curvature (CAT(ϰ)-spaces), and establish similar result for normed spaces. acknowledgement: ' Supported by the Russian Foundation for Basic Research grant 18-01-00036.' article_processing_charge: No article_type: original arxiv: 1 author: - first_name: Arseniy full_name: Akopyan, Arseniy id: 430D2C90-F248-11E8-B48F-1D18A9856A87 last_name: Akopyan orcid: 0000-0002-2548-617X - first_name: Roman full_name: Karasev, Roman last_name: Karasev citation: ama: Akopyan A, Karasev R. Waist of balls in hyperbolic and spherical spaces. International Mathematics Research Notices. 2020;2020(3):669-697. doi:10.1093/imrn/rny037 apa: Akopyan, A., & Karasev, R. (2020). Waist of balls in hyperbolic and spherical spaces. International Mathematics Research Notices. Oxford University Press. https://doi.org/10.1093/imrn/rny037 chicago: Akopyan, Arseniy, and Roman Karasev. “Waist of Balls in Hyperbolic and Spherical Spaces.” International Mathematics Research Notices. Oxford University Press, 2020. https://doi.org/10.1093/imrn/rny037. ieee: A. Akopyan and R. Karasev, “Waist of balls in hyperbolic and spherical spaces,” International Mathematics Research Notices, vol. 2020, no. 3. Oxford University Press, pp. 669–697, 2020. ista: Akopyan A, Karasev R. 2020. Waist of balls in hyperbolic and spherical spaces. International Mathematics Research Notices. 2020(3), 669–697. mla: Akopyan, Arseniy, and Roman Karasev. “Waist of Balls in Hyperbolic and Spherical Spaces.” International Mathematics Research Notices, vol. 2020, no. 3, Oxford University Press, 2020, pp. 669–97, doi:10.1093/imrn/rny037. short: A. Akopyan, R. Karasev, International Mathematics Research Notices 2020 (2020) 669–697. date_created: 2022-03-18T11:39:30Z date_published: 2020-02-01T00:00:00Z date_updated: 2023-08-24T14:19:55Z day: '01' department: - _id: HeEd doi: 10.1093/imrn/rny037 external_id: arxiv: - '1702.07513' isi: - '000522852700002' intvolume: ' 2020' isi: 1 issue: '3' keyword: - General Mathematics language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/1702.07513 month: '02' oa: 1 oa_version: Preprint page: 669-697 publication: International Mathematics Research Notices publication_identifier: eissn: - 1687-0247 issn: - 1073-7928 publication_status: published publisher: Oxford University Press quality_controlled: '1' scopus_import: '1' status: public title: Waist of balls in hyperbolic and spherical spaces type: journal_article user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 2020 year: '2020' ... --- _id: '12901' article_processing_charge: No author: - first_name: Alois full_name: Schlögl, Alois id: 45BF87EE-F248-11E8-B48F-1D18A9856A87 last_name: Schlögl orcid: 0000-0002-5621-8100 - first_name: Janos full_name: Kiss, Janos id: 3D3A06F8-F248-11E8-B48F-1D18A9856A87 last_name: Kiss - first_name: Stefano full_name: Elefante, Stefano id: 490F40CE-F248-11E8-B48F-1D18A9856A87 last_name: Elefante citation: ama: 'Schlögl A, Kiss J, Elefante S. Is Debian suitable for running an HPC Cluster? In: AHPC19 - Austrian HPC Meeting 2019 . Institut für Mathematik und wissenschaftliches Rechnen der Universität Graz; 2019:25.' apa: 'Schlögl, A., Kiss, J., & Elefante, S. (2019). Is Debian suitable for running an HPC Cluster? In AHPC19 - Austrian HPC Meeting 2019 (p. 25). Grundlsee, Austria: Institut für Mathematik und wissenschaftliches Rechnen der Universität Graz.' chicago: Schlögl, Alois, Janos Kiss, and Stefano Elefante. “Is Debian Suitable for Running an HPC Cluster?” In AHPC19 - Austrian HPC Meeting 2019 , 25. Institut für Mathematik und wissenschaftliches Rechnen der Universität Graz, 2019. ieee: A. Schlögl, J. Kiss, and S. Elefante, “Is Debian suitable for running an HPC Cluster?,” in AHPC19 - Austrian HPC Meeting 2019 , Grundlsee, Austria, 2019, p. 25. ista: 'Schlögl A, Kiss J, Elefante S. 2019. Is Debian suitable for running an HPC Cluster? AHPC19 - Austrian HPC Meeting 2019 . AHPC: Austrian HPC Meeting, 25.' mla: Schlögl, Alois, et al. “Is Debian Suitable for Running an HPC Cluster?” AHPC19 - Austrian HPC Meeting 2019 , Institut für Mathematik und wissenschaftliches Rechnen der Universität Graz, 2019, p. 25. short: A. Schlögl, J. Kiss, S. Elefante, in:, AHPC19 - Austrian HPC Meeting 2019 , Institut für Mathematik und wissenschaftliches Rechnen der Universität Graz, 2019, p. 25. conference: end_date: 2019-02-27 location: Grundlsee, Austria name: 'AHPC: Austrian HPC Meeting' start_date: 2019-02-25 date_created: 2023-05-05T12:48:48Z date_published: 2019-02-27T00:00:00Z date_updated: 2023-05-16T07:29:32Z day: '27' ddc: - '000' department: - _id: ScienComp file: - access_level: open_access checksum: acc8272027faaf30709c51ac5c58ffa4 content_type: application/pdf creator: dernst date_created: 2023-05-16T07:27:09Z date_updated: 2023-05-16T07:27:09Z file_id: '12970' file_name: 2019_AHPC_Schloegl.pdf file_size: 1097603 relation: main_file success: 1 file_date_updated: 2023-05-16T07:27:09Z has_accepted_license: '1' language: - iso: eng main_file_link: - open_access: '1' url: https://vsc.ac.at/fileadmin/user_upload/vsc/conferences/ahpc19/BOOKLET_AHPC19.pdf month: '02' oa: 1 oa_version: Published Version page: '25' publication: 'AHPC19 - Austrian HPC Meeting 2019 ' publication_status: published publisher: Institut für Mathematik und wissenschaftliches Rechnen der Universität Graz status: public title: Is Debian suitable for running an HPC Cluster? type: conference_abstract user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 year: '2019' ... --- _id: '13067' abstract: - lang: eng text: Genetic incompatibilities contribute to reproductive isolation between many diverging populations, but it is still unclear to what extent they play a role if divergence happens with gene flow. In contact zones between the "Crab" and "Wave" ecotypes of the snail Littorina saxatilis divergent selection forms strong barriers to gene flow, while the role of postzygotic barriers due to selection against hybrids remains unclear. High embryo abortion rates in this species could indicate the presence of such barriers. Postzygotic barriers might include genetic incompatibilities (e.g. Dobzhansky-Muller incompatibilities) but also maladaptation, both expected to be most pronounced in contact zones. In addition, embryo abortion might reflect physiological stress on females and embryos independent of any genetic stress. We examined all embryos of >500 females sampled outside and inside contact zones of three populations in Sweden. Females' clutch size ranged from 0 to 1011 embryos (mean 130±123) and abortion rates varied between 0 and100% (mean 12%). We described female genotypes by using a hybrid index based on hundreds of SNPs differentiated between ecotypes with which we characterised female genotypes. We also calculated female SNP heterozygosity and inversion karyotype. Clutch size did not vary with female hybrid index and abortion rates were only weakly related to hybrid index in two sites but not at all in a third site. No additional variation in abortion rate was explained by female SNP heterozygosity, but increased female inversion heterozygosity added slightly to increased abortion. Our results show only weak and probably biologically insignificant postzygotic barriers contributing to ecotype divergence and the high and variable abortion rates were marginally, if at all, explained by hybrid index of females. article_processing_charge: No author: - first_name: Kerstin full_name: Johannesson, Kerstin last_name: Johannesson - first_name: Zuzanna full_name: Zagrodzka, Zuzanna last_name: Zagrodzka - first_name: Rui full_name: Faria, Rui last_name: Faria - first_name: Anja M full_name: Westram, Anja M id: 3C147470-F248-11E8-B48F-1D18A9856A87 last_name: Westram orcid: 0000-0003-1050-4969 - first_name: Roger full_name: Butlin, Roger last_name: Butlin citation: ama: 'Johannesson K, Zagrodzka Z, Faria R, Westram AM, Butlin R. Data from: Is embryo abortion a postzygotic barrier to gene flow between Littorina ecotypes? 2019. doi:10.5061/DRYAD.TB2RBNZWK' apa: 'Johannesson, K., Zagrodzka, Z., Faria, R., Westram, A. M., & Butlin, R. (2019). Data from: Is embryo abortion a postzygotic barrier to gene flow between Littorina ecotypes? Dryad. https://doi.org/10.5061/DRYAD.TB2RBNZWK' chicago: 'Johannesson, Kerstin, Zuzanna Zagrodzka, Rui Faria, Anja M Westram, and Roger Butlin. “Data from: Is Embryo Abortion a Postzygotic Barrier to Gene Flow between Littorina Ecotypes?” Dryad, 2019. https://doi.org/10.5061/DRYAD.TB2RBNZWK.' ieee: 'K. Johannesson, Z. Zagrodzka, R. Faria, A. M. Westram, and R. Butlin, “Data from: Is embryo abortion a postzygotic barrier to gene flow between Littorina ecotypes?” Dryad, 2019.' ista: 'Johannesson K, Zagrodzka Z, Faria R, Westram AM, Butlin R. 2019. Data from: Is embryo abortion a postzygotic barrier to gene flow between Littorina ecotypes?, Dryad, 10.5061/DRYAD.TB2RBNZWK.' mla: 'Johannesson, Kerstin, et al. Data from: Is Embryo Abortion a Postzygotic Barrier to Gene Flow between Littorina Ecotypes? Dryad, 2019, doi:10.5061/DRYAD.TB2RBNZWK.' short: K. Johannesson, Z. Zagrodzka, R. Faria, A.M. Westram, R. Butlin, (2019). date_created: 2023-05-23T16:36:27Z date_published: 2019-12-02T00:00:00Z date_updated: 2023-09-06T14:48:57Z day: '02' ddc: - '570' department: - _id: NiBa doi: 10.5061/DRYAD.TB2RBNZWK license: https://creativecommons.org/publicdomain/zero/1.0/ main_file_link: - open_access: '1' url: https://doi.org/10.5061/dryad.tb2rbnzwk month: '12' oa: 1 oa_version: Published Version publisher: Dryad related_material: record: - id: '7205' relation: used_in_publication status: public status: public title: 'Data from: Is embryo abortion a postzygotic barrier to gene flow between Littorina ecotypes?' tmp: image: /images/cc_0.png legal_code_url: https://creativecommons.org/publicdomain/zero/1.0/legalcode name: Creative Commons Public Domain Dedication (CC0 1.0) short: CC0 (1.0) type: research_data_reference user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 year: '2019' ... --- _id: '8281' abstract: - lang: eng text: We review the history of population genetics, starting with its origins a century ago from the synthesis between Mendel and Darwin's ideas, through to the recent development of sophisticated schemes of inference from sequence data, based on the coalescent. We explain the close relation between the coalescent and a diffusion process, which we illustrate by their application to understand spatial structure. We summarise the powerful methods available for analysis of multiple loci, when linkage equilibrium can be assumed, and then discuss approaches to the more challenging case, where associations between alleles require that we follow genotype, rather than allele, frequencies. Though we can hardly cover the whole of population genetics, we give an overview of the current state of the subject, and future challenges to it. article_processing_charge: No author: - first_name: Nicholas H full_name: Barton, Nicholas H id: 4880FE40-F248-11E8-B48F-1D18A9856A87 last_name: Barton orcid: 0000-0002-8548-5240 - first_name: Alison full_name: Etheridge, Alison last_name: Etheridge citation: ama: 'Barton NH, Etheridge A. Mathematical models in population genetics. In: Balding D, Moltke I, Marioni J, eds. Handbook of Statistical Genomics. 4th ed. Wiley; 2019:115-144. doi:10.1002/9781119487845.ch4' apa: Barton, N. H., & Etheridge, A. (2019). Mathematical models in population genetics. In D. Balding, I. Moltke, & J. Marioni (Eds.), Handbook of statistical genomics (4th ed., pp. 115–144). Wiley. https://doi.org/10.1002/9781119487845.ch4 chicago: Barton, Nicholas H, and Alison Etheridge. “Mathematical Models in Population Genetics.” In Handbook of Statistical Genomics, edited by David Balding, Ida Moltke, and John Marioni, 4th ed., 115–44. Wiley, 2019. https://doi.org/10.1002/9781119487845.ch4. ieee: N. H. Barton and A. Etheridge, “Mathematical models in population genetics,” in Handbook of statistical genomics, 4th ed., D. Balding, I. Moltke, and J. Marioni, Eds. Wiley, 2019, pp. 115–144. ista: 'Barton NH, Etheridge A. 2019.Mathematical models in population genetics. In: Handbook of statistical genomics. , 115–144.' mla: Barton, Nicholas H., and Alison Etheridge. “Mathematical Models in Population Genetics.” Handbook of Statistical Genomics, edited by David Balding et al., 4th ed., Wiley, 2019, pp. 115–44, doi:10.1002/9781119487845.ch4. short: N.H. Barton, A. Etheridge, in:, D. Balding, I. Moltke, J. Marioni (Eds.), Handbook of Statistical Genomics, 4th ed., Wiley, 2019, pp. 115–144. date_created: 2020-08-21T04:25:39Z date_published: 2019-07-29T00:00:00Z date_updated: 2023-09-08T11:24:15Z day: '29' ddc: - '576' department: - _id: NiBa doi: 10.1002/9781119487845.ch4 edition: '4' editor: - first_name: David full_name: Balding, David last_name: Balding - first_name: Ida full_name: Moltke, Ida last_name: Moltke - first_name: John full_name: Marioni, John last_name: Marioni external_id: isi: - '000261343000003' isi: 1 language: - iso: eng month: '07' oa_version: None page: 115-144 publication: Handbook of statistical genomics publication_identifier: isbn: - '9781119429142' publication_status: published publisher: Wiley quality_controlled: '1' status: public title: Mathematical models in population genetics type: book_chapter user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1 year: '2019' ... --- _id: '8305' abstract: - lang: eng text: In this paper, we present the first fully asynchronous distributed key generation (ADKG) algorithm as well as the first distributed key generation algorithm that can create keys with a dual (f,2f+1)−threshold that are necessary for scalable consensus (which so far needs a trusted dealer assumption). In order to create a DKG with a dual (f,2f+1)− threshold we first answer in the affirmative the open question posed by Cachin et al. how to create an AVSS protocol with recovery thresholds f+1