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It turns out that the set of the functions which generate jointly convex quantum Jensen divergences on positive matrices coincides with the Matrix Entropy Class which has been introduced by Chen and Tropp quite recently.","lang":"eng"}],"date_updated":"2023-08-24T14:31:47Z","year":"2019","citation":{"ama":"Virosztek D. Jointly convex quantum Jensen divergences. <i>Linear Algebra and Its Applications</i>. 2019;576:67-78. doi:<a href=\"https://doi.org/10.1016/j.laa.2018.03.002\">10.1016/j.laa.2018.03.002</a>","apa":"Virosztek, D. (2019). Jointly convex quantum Jensen divergences. <i>Linear Algebra and Its Applications</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.laa.2018.03.002\">https://doi.org/10.1016/j.laa.2018.03.002</a>","chicago":"Virosztek, Daniel. “Jointly Convex Quantum Jensen Divergences.” <i>Linear Algebra and Its Applications</i>. Elsevier, 2019. <a href=\"https://doi.org/10.1016/j.laa.2018.03.002\">https://doi.org/10.1016/j.laa.2018.03.002</a>.","ieee":"D. Virosztek, “Jointly convex quantum Jensen divergences,” <i>Linear Algebra and Its Applications</i>, vol. 576. Elsevier, pp. 67–78, 2019.","mla":"Virosztek, Daniel. “Jointly Convex Quantum Jensen Divergences.” <i>Linear Algebra and Its Applications</i>, vol. 576, Elsevier, 2019, pp. 67–78, doi:<a href=\"https://doi.org/10.1016/j.laa.2018.03.002\">10.1016/j.laa.2018.03.002</a>.","short":"D. Virosztek, Linear Algebra and Its Applications 576 (2019) 67–78.","ista":"Virosztek D. 2019. Jointly convex quantum Jensen divergences. Linear Algebra and Its Applications. 576, 67–78."},"isi":1,"external_id":{"isi":["000470955300005"],"arxiv":["1712.05324"]},"volume":576,"acknowledgement":"The author was supported by the ISTFELLOW program of the Institute of Science and Technology Austria (project code IC1027FELL01) and partially supported by the Hungarian National Research, Development and Innovation Office – NKFIH (grant no. K124152)"},{"ddc":["510"],"volume":173,"acknowledgement":"Open access funding provided by Institute of Science and Technology (IST Austria).\r\n","abstract":[{"text":"We consider real symmetric or complex hermitian random matrices with correlated entries. We prove local laws for the resolvent and universality of the local eigenvalue statistics in the bulk of the spectrum. The correlations have fast decay but are otherwise of general form. The key novelty is the detailed stability analysis of the corresponding matrix valued Dyson equation whose solution is the deterministic limit of the resolvent.","lang":"eng"}],"day":"01","doi":"10.1007/s00440-018-0835-z","external_id":{"isi":["000459396500007"]},"isi":1,"citation":{"ista":"Ajanki OH, Erdös L, Krüger TH. 2019. Stability of the matrix Dyson equation and random matrices with correlations. 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The new feature in our counting formulas is the appearance of characters of Yokonuma–Hecke algebras. Our result leads to the conjecture that the mixed Hodge polynomials of these character varieties agree with previously conjectured perverse Hodge polynomials of certain twisted parabolic Higgs moduli spaces, indicating the\r\npossibility of a P = W conjecture for a suitable wild Hitchin system."}],"day":"01","arxiv":1,"doi":"10.4171/JEMS/896","external_id":{"arxiv":["1604.03382"],"isi":["000480413600002"]},"isi":1,"year":"2019","citation":{"mla":"Hausel, Tamás, et al. “Arithmetic and Representation Theory of Wild Character Varieties.” <i>Journal of the European Mathematical Society</i>, vol. 21, no. 10, European Mathematical Society, 2019, pp. 2995–3052, doi:<a href=\"https://doi.org/10.4171/JEMS/896\">10.4171/JEMS/896</a>.","short":"T. Hausel, M. Mereb, M. Wong, Journal of the European Mathematical Society 21 (2019) 2995–3052.","ista":"Hausel T, Mereb M, Wong M. 2019. Arithmetic and representation theory of wild character varieties. Journal of the European Mathematical Society. 21(10), 2995–3052.","apa":"Hausel, T., Mereb, M., &#38; Wong, M. (2019). Arithmetic and representation theory of wild character varieties. <i>Journal of the European Mathematical Society</i>. European Mathematical Society. <a href=\"https://doi.org/10.4171/JEMS/896\">https://doi.org/10.4171/JEMS/896</a>","ama":"Hausel T, Mereb M, Wong M. Arithmetic and representation theory of wild character varieties. <i>Journal of the European Mathematical Society</i>. 2019;21(10):2995-3052. doi:<a href=\"https://doi.org/10.4171/JEMS/896\">10.4171/JEMS/896</a>","chicago":"Hausel, Tamás, Martin Mereb, and Michael Wong. “Arithmetic and Representation Theory of Wild Character Varieties.” <i>Journal of the European Mathematical Society</i>. European Mathematical Society, 2019. <a href=\"https://doi.org/10.4171/JEMS/896\">https://doi.org/10.4171/JEMS/896</a>.","ieee":"T. Hausel, M. 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Tropical formulae for summation over a part of SL(2,Z). <i>European Journal of Mathematics</i>. 2019;5(3):909–928. doi:<a href=\"https://doi.org/10.1007/s40879-018-0218-0\">10.1007/s40879-018-0218-0</a>","apa":"Kalinin, N., &#38; Shkolnikov, M. (2019). Tropical formulae for summation over a part of SL(2,Z). <i>European Journal of Mathematics</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s40879-018-0218-0\">https://doi.org/10.1007/s40879-018-0218-0</a>","ieee":"N. Kalinin and M. Shkolnikov, “Tropical formulae for summation over a part of SL(2,Z),” <i>European Journal of Mathematics</i>, vol. 5, no. 3. Springer Nature, pp. 909–928, 2019.","chicago":"Kalinin, Nikita, and Mikhail Shkolnikov. “Tropical Formulae for Summation over a Part of SL(2,Z).” <i>European Journal of Mathematics</i>. 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