Fourier transform on high-dimensional unitary groups with applications to random tilings
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Publication:2336099
DOI10.1215/00127094-2019-0023zbMath1436.60016arXiv1712.09925OpenAlexW3102444067MaRDI QIDQ2336099
Vadim Gorin, Alexey I. Bufetov
Publication date: 18 November 2019
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1712.09925
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)
Related Items (18)
Double interlacing in random tiling models ⋮ A singular Toeplitz determinant and the discrete tacnode kernel for skew-Aztec rectangles ⋮ Gaussian fluctuations for products of random matrices ⋮ Matrix addition and the Dunkl transform at high temperature ⋮ Extremal singular values of random matrix products and Brownian motion on \(\text{\textsf{GL}} (N, \mathbb{C})\) ⋮ Airy point process via supersymmetric lifts ⋮ Asymptotics of Schur functions on almost staircase partitions ⋮ Law of large numbers and central limit theorems through Jack generating functions ⋮ Global universality of Macdonald plane partitions ⋮ Large tensor products and Littlewood-Richardson coefficients ⋮ Dominos in hedgehog domains ⋮ Fluctuations of particle systems determined by Schur generating functions ⋮ Domino tilings of the aztec diamond with doubly periodic weightings ⋮ Tau-functions à la Dubédat and probabilities of cylindrical events for double-dimers and CLE(4) ⋮ On multiplicities of irreducibles in large tensor product of representations of simple Lie algebras ⋮ A periodic hexagon tiling model and non-Hermitian orthogonal polynomials ⋮ Periodic Pólya urns, the density method and asymptotics of Young tableaux ⋮ Lozenge tilings and the Gaussian free field on a cylinder
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