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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Different Flavors of Asymptotics in Random Permutations and Their Impact on Computing Finite-Size Effects

## Different Flavors of Asymptotics in Random Permutations and Their Impact on Computing Finite-Size EffectsAdd to your list(s) Download to your calendar using vCal - Folkmar Bornemann (Technische Universität München)
- Tuesday 04 October 2022, 15:00-17:00
- Seminar Room 2, Newton Institute.
If you have a question about this talk, please contact nobody. ARA2 - Applicable resurgent asymptotics: towards a universal theory The distribution of the length of longest increasing subsequences in random permutations/involutions of the symmetric group S_n is positioned in a rich web of knowledge connecting, e.g., constructive combinatorics, random matrix theory, integrals over classical groups, Toeplitz/Hankel determinants, Riemann-Hilbert problems, Painlevé/Chazy equations, and operator determinants. The known techniques for establishing a meaningful double-scaling limit near the mode of the length distribution (in terms of the Tracy-Widom distributions for beta=1, 2, 4) use a Tauberian argument, called de-Poissonization, which does not render itself to establish asymptotic expansions. Recently Forrester and Mays have started studying the structure of finite-size effects numerically and visualized the coarse form of the first such term based on data from Monte-Carlo simulations for n up to 10 This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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