[{"citation":{"mla":"Naskręcki, Bartosz, and Matteo Verzobio. “Common Valuations of Division Polynomials.” Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 2203.02015, Cambridge University Press, 2024, doi:10.1017/prm.2024.7.","ama":"Naskręcki B, Verzobio M. Common valuations of division polynomials. Proceedings of the Royal Society of Edinburgh Section A: Mathematics. 2024. doi:10.1017/prm.2024.7","apa":"Naskręcki, B., & Verzobio, M. (2024). Common valuations of division polynomials. Proceedings of the Royal Society of Edinburgh Section A: Mathematics. Cambridge University Press. https://doi.org/10.1017/prm.2024.7","short":"B. Naskręcki, M. Verzobio, Proceedings of the Royal Society of Edinburgh Section A: Mathematics (2024).","ieee":"B. Naskręcki and M. Verzobio, “Common valuations of division polynomials,” Proceedings of the Royal Society of Edinburgh Section A: Mathematics. Cambridge University Press, 2024.","chicago":"Naskręcki, Bartosz, and Matteo Verzobio. “Common Valuations of Division Polynomials.” Proceedings of the Royal Society of Edinburgh Section A: Mathematics. Cambridge University Press, 2024. https://doi.org/10.1017/prm.2024.7.","ista":"Naskręcki B, Verzobio M. 2024. Common valuations of division polynomials. Proceedings of the Royal Society of Edinburgh Section A: Mathematics., 2203.02015."},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","external_id":{"arxiv":["2203.02015"]},"article_processing_charge":"Yes (via OA deal)","author":[{"last_name":"Naskręcki","full_name":"Naskręcki, Bartosz","first_name":"Bartosz"},{"id":"7aa8f170-131e-11ed-88e1-a9efd01027cb","first_name":"Matteo","orcid":"0000-0002-0854-0306","full_name":"Verzobio, Matteo","last_name":"Verzobio"}],"title":"Common valuations of division polynomials","article_number":"2203.02015","project":[{"call_identifier":"H2020","_id":"fc2ed2f7-9c52-11eb-aca3-c01059dda49c","name":"IST-BRIDGE: International postdoctoral program","grant_number":"101034413"}],"year":"2024","has_accepted_license":"1","publication":"Proceedings of the Royal Society of Edinburgh Section A: Mathematics","day":"26","date_created":"2023-01-16T11:45:22Z","date_published":"2024-02-26T00:00:00Z","doi":"10.1017/prm.2024.7","acknowledgement":"Silverman, and Paul Voutier for the comments on the earlier version of this paper. The first author acknowledges the support by Dioscuri programme initiated by the Max Planck Society, jointly managed with the National Science Centre (Poland), and mutually funded by the Polish Ministry of Science and Higher Education and the German Federal Ministry of Education and Research. The second author has been supported by MIUR (Italy) through PRIN 2017 ‘Geometric, algebraic and analytic methods in arithmetic’ and has received funding from the European Union's Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement No. 101034413.","oa":1,"publisher":"Cambridge University Press","quality_controlled":"1","date_updated":"2024-03-13T11:55:21Z","ddc":["510"],"department":[{"_id":"TiBr"}],"_id":"12311","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"type":"journal_article","article_type":"original","keyword":["Elliptic curves","Néron models","division polynomials","height functions","discrete valuation rings"],"status":"public","publication_status":"epub_ahead","publication_identifier":{"eissn":["1473-7124"],"issn":["0308-2105"]},"language":[{"iso":"eng"}],"license":"https://creativecommons.org/licenses/by/4.0/","ec_funded":1,"abstract":[{"lang":"eng","text":"In this note, we prove a formula for the cancellation exponent kv,n between division polynomials ψn and ϕn associated with a sequence {nP}n∈N of points on an elliptic curve E defined over a discrete valuation field K. The formula greatly generalizes the previously known special cases and treats also the case of non-standard Kodaira types for non-perfect residue fields."}],"oa_version":"Published Version","main_file_link":[{"url":"https://doi.org/10.1017/prm.2024.7","open_access":"1"}],"scopus_import":"1","month":"02"},{"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"mla":"Johannesson, Kerstin, et al. “Diverse Pathways to Speciation Revealed by Marine Snails.” Trends in Genetics, Cell Press, 2024, doi:10.1016/j.tig.2024.01.002.","ieee":"K. Johannesson et al., “Diverse pathways to speciation revealed by marine snails,” Trends in Genetics. Cell Press, 2024.","short":"K. Johannesson, R. Faria, A. Le Moan, M. Rafajlović, A.M. Westram, R.K. Butlin, S. Stankowski, Trends in Genetics (2024).","ama":"Johannesson K, Faria R, Le Moan A, et al. Diverse pathways to speciation revealed by marine snails. Trends in Genetics. 2024. doi:10.1016/j.tig.2024.01.002","apa":"Johannesson, K., Faria, R., Le Moan, A., Rafajlović, M., Westram, A. M., Butlin, R. K., & Stankowski, S. (2024). Diverse pathways to speciation revealed by marine snails. Trends in Genetics. Cell Press. https://doi.org/10.1016/j.tig.2024.01.002","chicago":"Johannesson, Kerstin, Rui Faria, Alan Le Moan, Marina Rafajlović, Anja M Westram, Roger K. Butlin, and Sean Stankowski. “Diverse Pathways to Speciation Revealed by Marine Snails.” Trends in Genetics. Cell Press, 2024. https://doi.org/10.1016/j.tig.2024.01.002.","ista":"Johannesson K, Faria R, Le Moan A, Rafajlović M, Westram AM, Butlin RK, Stankowski S. 2024. Diverse pathways to speciation revealed by marine snails. Trends in Genetics."},"title":"Diverse pathways to speciation revealed by marine snails","article_processing_charge":"Yes (in subscription journal)","external_id":{"pmid":["38395682"]},"author":[{"last_name":"Johannesson","full_name":"Johannesson, Kerstin","first_name":"Kerstin"},{"first_name":"Rui","full_name":"Faria, Rui","last_name":"Faria"},{"first_name":"Alan","full_name":"Le Moan, Alan","last_name":"Le Moan"},{"first_name":"Marina","last_name":"Rafajlović","full_name":"Rafajlović, Marina"},{"id":"3C147470-F248-11E8-B48F-1D18A9856A87","first_name":"Anja M","last_name":"Westram","orcid":"0000-0003-1050-4969","full_name":"Westram, Anja M"},{"full_name":"Butlin, Roger K.","last_name":"Butlin","first_name":"Roger K."},{"full_name":"Stankowski, Sean","last_name":"Stankowski","id":"43161670-5719-11EA-8025-FABC3DDC885E","first_name":"Sean"}],"publication":"Trends in Genetics","day":"22","year":"2024","has_accepted_license":"1","date_created":"2024-03-10T23:00:54Z","doi":"10.1016/j.tig.2024.01.002","date_published":"2024-02-22T00:00:00Z","acknowledgement":"KJ, MR, and RKB were supported by grants from the Swedish Research Council (2021-0419, 2021-05243, and 2018-03695, respectively). RKB was also supported by the Leverhulme Trust (RPG-2021-141), RF by FCT- Portuguese Science Foundation (PTDC/BIA-EVL/1614/2021 and 2020.00275.CEECIND), and AMW by Norwegian Research Council RCN (Project number 315287). We thank the members of the Integration of Speciation Research network for stimulating discussions, the Littorina research community for important contributions of data and analyses, and Cynthia Riginos for useful comments on an earlier draft.","oa":1,"quality_controlled":"1","publisher":"Cell Press","ddc":["570"],"date_updated":"2024-03-13T12:08:57Z","department":[{"_id":"NiBa"}],"_id":"15099","status":"public","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"type":"journal_article","article_type":"review","language":[{"iso":"eng"}],"publication_status":"epub_ahead","publication_identifier":{"eissn":["1362-4555"],"issn":["0168-9525"]},"pmid":1,"oa_version":"Published Version","abstract":[{"text":"Speciation is a key evolutionary process that is not yet fully understood. Combining population genomic and ecological data from multiple diverging pairs of marine snails (Littorina) supports the search for speciation mechanisms. Placing pairs on a one-dimensional speciation continuum, from undifferentiated populations to species, obscured the complexity of speciation. Adding multiple axes helped to describe either speciation routes or reproductive isolation in the snails. Divergent ecological selection repeatedly generated barriers between ecotypes, but appeared less important in completing speciation while genetic incompatibilities played a key role. Chromosomal inversions contributed to genomic barriers, but with variable impact. A multidimensional (hypercube) approach supported framing of questions and identification of knowledge gaps and can be useful to understand speciation in many other systems.","lang":"eng"}],"month":"02","main_file_link":[{"url":"https://doi.org/10.1016/j.tig.2024.01.002","open_access":"1"}],"scopus_import":"1"},{"citation":{"ista":"Agresti A, Luongo E. 2024. Global well-posedness and interior regularity of 2D Navier-Stokes equations with stochastic boundary conditions. Mathematische Annalen.","chicago":"Agresti, Antonio, and Eliseo Luongo. “Global Well-Posedness and Interior Regularity of 2D Navier-Stokes Equations with Stochastic Boundary Conditions.” Mathematische Annalen. Springer Nature, 2024. https://doi.org/10.1007/s00208-024-02812-0.","short":"A. Agresti, E. Luongo, Mathematische Annalen (2024).","ieee":"A. Agresti and E. Luongo, “Global well-posedness and interior regularity of 2D Navier-Stokes equations with stochastic boundary conditions,” Mathematische Annalen. Springer Nature, 2024.","apa":"Agresti, A., & Luongo, E. (2024). Global well-posedness and interior regularity of 2D Navier-Stokes equations with stochastic boundary conditions. Mathematische Annalen. Springer Nature. https://doi.org/10.1007/s00208-024-02812-0","ama":"Agresti A, Luongo E. Global well-posedness and interior regularity of 2D Navier-Stokes equations with stochastic boundary conditions. Mathematische Annalen. 2024. doi:10.1007/s00208-024-02812-0","mla":"Agresti, Antonio, and Eliseo Luongo. “Global Well-Posedness and Interior Regularity of 2D Navier-Stokes Equations with Stochastic Boundary Conditions.” Mathematische Annalen, Springer Nature, 2024, doi:10.1007/s00208-024-02812-0."},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","article_processing_charge":"Yes (via OA deal)","external_id":{"arxiv":["2306.11081"]},"author":[{"id":"673cd0cc-9b9a-11eb-b144-88f30e1fbb72","first_name":"Antonio","orcid":"0000-0002-9573-2962","full_name":"Agresti, Antonio","last_name":"Agresti"},{"last_name":"Luongo","full_name":"Luongo, Eliseo","first_name":"Eliseo"}],"title":"Global well-posedness and interior regularity of 2D Navier-Stokes equations with stochastic boundary conditions","project":[{"name":"Bridging Scales in Random Materials","grant_number":"948819","call_identifier":"H2020","_id":"0aa76401-070f-11eb-9043-b5bb049fa26d"}],"year":"2024","publication":"Mathematische Annalen","day":"27","date_created":"2024-03-10T23:00:54Z","doi":"10.1007/s00208-024-02812-0","date_published":"2024-02-27T00:00:00Z","acknowledgement":"The authors thank Professor Franco Flandoli for useful discussions and valuable insight into the subject. In particular, A.A. would like to thank professor Franco Flandoli for hosting and financially contributing to his research visit at Scuola Normale di Pisa in January 2023, where this work started. E.L. would like to express sincere gratitude to Professor Marco Fuhrman for igniting his interest in this particular field of research. E.L. want to thank Professor Matthias Hieber and Dr. Martin Saal for useful discussions. Finally, the authors thank the anonymous referee for helpful comments which improved the paper from its initial version.Open access funding provided by Scuola Normale Superiore within the CRUI-CARE Agreement. A. Agresti has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant Agreement No. 948819).","oa":1,"publisher":"Springer Nature","quality_controlled":"1","date_updated":"2024-03-13T12:20:23Z","department":[{"_id":"JuFi"}],"_id":"15098","type":"journal_article","article_type":"original","status":"public","publication_status":"epub_ahead","publication_identifier":{"eissn":["1432-1807"],"issn":["0025-5831"]},"language":[{"iso":"eng"}],"ec_funded":1,"abstract":[{"text":"The paper is devoted to the analysis of the global well-posedness and the interior regularity of the 2D Navier–Stokes equations with inhomogeneous stochastic boundary conditions. The noise, white in time and coloured in space, can be interpreted as the physical law describing the driving mechanism on the atmosphere–ocean interface, i.e. as a balance of the shear stress of the ocean and the horizontal wind force.","lang":"eng"}],"oa_version":"Published Version","main_file_link":[{"url":"https://doi.org/10.1007/s00208-024-02812-0","open_access":"1"}],"scopus_import":"1","month":"02"},{"volume":6,"issue":"1","publication_identifier":{"issn":["2643-1564"]},"publication_status":"published","file":[{"file_name":"2024_PhysicalReviewResearch_Sack.pdf","date_created":"2024-03-19T07:16:38Z","creator":"dernst","file_size":2777593,"date_updated":"2024-03-19T07:16:38Z","success":1,"file_id":"15123","checksum":"274c9f1b15b3547a10a03f39e4ccc582","relation":"main_file","access_level":"open_access","content_type":"application/pdf"}],"language":[{"iso":"eng"}],"scopus_import":"1","month":"03","intvolume":" 6","abstract":[{"text":"Quantum computers are increasing in size and quality but are still very noisy. Error mitigation extends the size of the quantum circuits that noisy devices can meaningfully execute. However, state-of-the-art error mitigation methods are hard to implement and the limited qubit connectivity in superconducting qubit devices restricts most applications to the hardware's native topology. Here we show a quantum approximate optimization algorithm (QAOA) on nonplanar random regular graphs with up to 40 nodes enabled by a machine learning-based error mitigation. We use a swap network with careful decision-variable-to-qubit mapping and a feed-forward neural network to optimize a depth-two QAOA on up to 40 qubits. We observe a meaningful parameter optimization for the largest graph which requires running quantum circuits with 958 two-qubit gates. Our paper emphasizes the need to mitigate samples, and not only expectation values, in quantum approximate optimization. These results are a step towards executing quantum approximate optimization at a scale that is not classically simulable. Reaching such system sizes is key to properly understanding the true potential of heuristic algorithms like QAOA.","lang":"eng"}],"oa_version":"Published Version","department":[{"_id":"MaSe"}],"file_date_updated":"2024-03-19T07:16:38Z","date_updated":"2024-03-19T07:24:03Z","ddc":["530"],"type":"journal_article","article_type":"original","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"status":"public","_id":"15122","date_published":"2024-03-01T00:00:00Z","doi":"10.1103/PhysRevResearch.6.013223","date_created":"2024-03-17T23:00:59Z","has_accepted_license":"1","year":"2024","day":"01","publication":"Physical Review Research","quality_controlled":"1","publisher":"American Physical Society","oa":1,"acknowledgement":"S.H.S. acknowledges support from the IBM Ph.D. fellowship 2022 in quantum computing. The authors also thank M. Serbyn, R. Kueng, R. A. Medina, and S. Woerner for fruitful discussions.","author":[{"last_name":"Sack","full_name":"Sack, Stefan","orcid":"0000-0001-5400-8508","id":"dd622248-f6e0-11ea-865d-ce382a1c81a5","first_name":"Stefan"},{"first_name":"Daniel J.","last_name":"Egger","full_name":"Egger, Daniel J."}],"article_processing_charge":"Yes","external_id":{"arxiv":["2307.14427"]},"title":"Large-scale quantum approximate optimization on nonplanar graphs with machine learning noise mitigation","citation":{"ama":"Sack S, Egger DJ. Large-scale quantum approximate optimization on nonplanar graphs with machine learning noise mitigation. Physical Review Research. 2024;6(1). doi:10.1103/PhysRevResearch.6.013223","apa":"Sack, S., & Egger, D. J. (2024). Large-scale quantum approximate optimization on nonplanar graphs with machine learning noise mitigation. Physical Review Research. American Physical Society. https://doi.org/10.1103/PhysRevResearch.6.013223","short":"S. Sack, D.J. Egger, Physical Review Research 6 (2024).","ieee":"S. Sack and D. J. Egger, “Large-scale quantum approximate optimization on nonplanar graphs with machine learning noise mitigation,” Physical Review Research, vol. 6, no. 1. American Physical Society, 2024.","mla":"Sack, Stefan, and Daniel J. Egger. “Large-Scale Quantum Approximate Optimization on Nonplanar Graphs with Machine Learning Noise Mitigation.” Physical Review Research, vol. 6, no. 1, 013223, American Physical Society, 2024, doi:10.1103/PhysRevResearch.6.013223.","ista":"Sack S, Egger DJ. 2024. Large-scale quantum approximate optimization on nonplanar graphs with machine learning noise mitigation. Physical Review Research. 6(1), 013223.","chicago":"Sack, Stefan, and Daniel J. Egger. “Large-Scale Quantum Approximate Optimization on Nonplanar Graphs with Machine Learning Noise Mitigation.” Physical Review Research. American Physical Society, 2024. https://doi.org/10.1103/PhysRevResearch.6.013223."},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","project":[{"name":"Quantum_Quantum Circuits and Software_Variational quantum algorithms on NISQ devices","_id":"bd660c93-d553-11ed-ba76-fb0fb6f49c0d"}],"article_number":"013223"},{"oa":1,"quality_controlled":"1","publisher":"Institute of Mathematical Statistics","acknowledgement":"The first author has been partially supported by the Nachwuchsring – Network for the promotion of young scientists – at TU Kaiserslautern. The second author is supported by the VIDI subsidy 639.032.427 of the Netherlands Organisation for Scientific Research (NWO). The authors thank the anonymous referees and Max Sauerbrey for careful reading and helpful suggestions.","page":"413-430","date_created":"2024-03-17T23:00:58Z","date_published":"2024-02-01T00:00:00Z","doi":"10.1214/22-AIHP1333","year":"2024","publication":"Annales de l'institut Henri Poincare Probability and Statistics","day":"01","article_processing_charge":"No","external_id":{"arxiv":["2106.01274"]},"author":[{"full_name":"Agresti, Antonio","orcid":"0000-0002-9573-2962","last_name":"Agresti","id":"673cd0cc-9b9a-11eb-b144-88f30e1fbb72","first_name":"Antonio"},{"first_name":"Mark","full_name":"Veraar, Mark","last_name":"Veraar"}],"title":"Stochastic maximal Lp(Lq)-regularity for second order systems with periodic boundary conditions","citation":{"apa":"Agresti, A., & Veraar, M. (2024). Stochastic maximal Lp(Lq)-regularity for second order systems with periodic boundary conditions. Annales de l’institut Henri Poincare Probability and Statistics. Institute of Mathematical Statistics. https://doi.org/10.1214/22-AIHP1333","ama":"Agresti A, Veraar M. Stochastic maximal Lp(Lq)-regularity for second order systems with periodic boundary conditions. Annales de l’institut Henri Poincare Probability and Statistics. 2024;60(1):413-430. doi:10.1214/22-AIHP1333","ieee":"A. Agresti and M. Veraar, “Stochastic maximal Lp(Lq)-regularity for second order systems with periodic boundary conditions,” Annales de l’institut Henri Poincare Probability and Statistics, vol. 60, no. 1. Institute of Mathematical Statistics, pp. 413–430, 2024.","short":"A. Agresti, M. Veraar, Annales de l’institut Henri Poincare Probability and Statistics 60 (2024) 413–430.","mla":"Agresti, Antonio, and Mark Veraar. “Stochastic Maximal Lp(Lq)-Regularity for Second Order Systems with Periodic Boundary Conditions.” Annales de l’institut Henri Poincare Probability and Statistics, vol. 60, no. 1, Institute of Mathematical Statistics, 2024, pp. 413–30, doi:10.1214/22-AIHP1333.","ista":"Agresti A, Veraar M. 2024. Stochastic maximal Lp(Lq)-regularity for second order systems with periodic boundary conditions. Annales de l’institut Henri Poincare Probability and Statistics. 60(1), 413–430.","chicago":"Agresti, Antonio, and Mark Veraar. “Stochastic Maximal Lp(Lq)-Regularity for Second Order Systems with Periodic Boundary Conditions.” Annales de l’institut Henri Poincare Probability and Statistics. Institute of Mathematical Statistics, 2024. https://doi.org/10.1214/22-AIHP1333."},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2106.01274"}],"scopus_import":"1","intvolume":" 60","month":"02","abstract":[{"text":"In this paper we consider an SPDE where the leading term is a second order operator with periodic boundary conditions, coefficients which are measurable in (t,ω) , and Hölder continuous in space. Assuming stochastic parabolicity conditions, we prove Lp((0,T)×Ω,tκdt;Hσ,q(Td)) -estimates. The main novelty is that we do not require p=q . Moreover, we allow arbitrary σ∈R and weights in time. Such mixed regularity estimates play a crucial role in applications to nonlinear SPDEs which is clear from our previous work. To prove our main results we develop a general perturbation theory for SPDEs. Moreover, we prove a new result on pointwise multiplication in spaces with fractional smoothness.","lang":"eng"}],"oa_version":"Preprint","issue":"1","volume":60,"publication_status":"published","publication_identifier":{"issn":["0246-0203"]},"language":[{"iso":"eng"}],"article_type":"original","type":"journal_article","status":"public","_id":"15119","department":[{"_id":"JuFi"}],"date_updated":"2024-03-19T08:14:17Z"}]