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- W4384112338 abstract "We introduce multicritical Schur measures, which are probability laws on integer partitions which give rise to non-generic fluctuations at their edge. They are in the same universality classes as one-dimensional momentum-space models of free fermions in flat confining potentials, studied by Le Doussal, Majumdar and Schehr. These universality classes involve critical exponents of the form 1/(2m+1), with m a positive integer, and asymptotic distributions given by Fredholm determinants constructed from higher order Airy kernels, extending the generic Tracy-Widom GUE distribution recovered for m=1. We also compute limit shapes for the multicritical Schur measures, discuss the finite temperature setting, and exhibit an exact mapping to the multicritical unitary matrix models previously encountered by Periwal and Shevitz." @default.
- W4384112338 created "2023-07-13" @default.
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- W4384112338 date "2023-07-14" @default.
- W4384112338 modified "2023-09-29" @default.
- W4384112338 title "Multicritical Schur measures and higher-order analogues of the Tracy-Widom distribution" @default.
- W4384112338 hasPublicationYear "2023" @default.
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