Tacnode GUE-minor processes and double Aztec diamonds

DOI10.1007/s00440-014-0573-9zbMath1321.60103arXiv1303.5279OpenAlexW2056423564MaRDI QIDQ2349149

Kurt Johansson, Sunil Chhita, Pierre van Moerbeke, Mark Adler

Publication date: 19 June 2015

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.5279

zbMATH Keywords

random tilingKasteleyn matrixdeterminantal point processesAiry processrandom Hermitian ensemblesdouble Aztec diamondsGUE-minor processes

Mathematics Subject Classification ID

Random fields (60G60) Geometric probability and stochastic geometry (60D05) Stationary stochastic processes (60G10) Combinatorial aspects of tessellation and tiling problems (05B45) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items

Double interlacing in random tiling models, A singular Toeplitz determinant and the discrete tacnode kernel for skew-Aztec rectangles, Dynamical correlation functions for products of random matrices, Lozenge tilings of hexagons with cuts and asymptotic fluctuations: a new universality class, From Aztec diamonds to pyramids: Steep tilings, The tacnode Riemann-Hilbert problem, Probability distributions related to tilings of non-convex polygons, The two-periodic Aztec diamond and matrix valued orthogonal polynomials, Tilings of non-convex polygons, skew-Young tableaux and determinantal processes

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