The cusp-Airy process

DOI10.1214/16-EJP2zbMath1348.60008arXiv1510.02057OpenAlexW2964230695MaRDI QIDQ320225

Kurt Johansson, Erik Duse, Anthony P. Metcalfe

Publication date: 6 October 2016

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.02057

zbMATH Keywords

scaling limitdiscrete interlacing systemsnew determinantal point processrandom tiling process

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Random matrices (algebraic aspects) (15B52)

Related Items (13)

Double interlacing in random tiling models ⋮ Bulk universality for random lozenge tilings near straight boundaries and for tensor products ⋮ A singular Toeplitz determinant and the discrete tacnode kernel for skew-Aztec rectangles ⋮ Universal edge fluctuations of discrete interlaced particle systems ⋮ Lozenge tilings of hexagons with cuts and asymptotic fluctuations: a new universality class ⋮ Asymptotic geometry of discrete interlaced pattern. II ⋮ Gelfand-Tsetlin polytopes and random contractions away from the limiting shape ⋮ Cusp universality for random matrices. I: Local law and the complex Hermitian case ⋮ Critical behavior of non-intersecting Brownian motions ⋮ Universality of local statistics for noncolliding random walks ⋮ Probability distributions related to tilings of non-convex polygons ⋮ Tilings of non-convex polygons, skew-Young tableaux and determinantal processes ⋮ Periodic Pólya urns, the density method and asymptotics of Young tableaux

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