Nonintersecting paths and the Hahn orthogonal polynomial ensemble

DOI10.1007/s10688-008-0027-1zbMath1177.60012arXiv0708.2349OpenAlexW2963415950MaRDI QIDQ1002817

V. E. Gorin

Publication date: 26 February 2009

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0708.2349

zbMATH Keywords

determinantal processorthogonal polynomial ensembleplane pertitiontiling of a hexagon

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Other special orthogonal polynomials and functions (33C47)

Related Items (27)

The ASEP and determinantal point processes ⋮ Double interlacing in random tiling models ⋮ Bulk universality for random lozenge tilings near straight boundaries and for tensor products ⋮ On global fluctuations for non-colliding processes ⋮ Asymptotics of discrete \(\beta \)-corners processes via two-level discrete loop equations ⋮ Gaussian asymptotics of discrete \(\beta \)-ensembles ⋮ Lozenge tilings of hexagons with cuts and asymptotic fluctuations: a new universality class ⋮ \(q\)-distributions on boxed plane partitions ⋮ Limit shapes and local statistics for the stochastic six-vertex model ⋮ Asymptotics of noncolliding q-exchangeable random walks ⋮ Edge statistics for Lozenge tilings of polygons. I: Concentration of height function on strip domains ⋮ Skew Howe duality and limit shapes of Young diagrams ⋮ Markov processes of infinitely many nonintersecting random walks ⋮ Plane partitions with two-periodic weights ⋮ Asymptotics of uniformly random lozenge tilings of polygons. Gaussian free field ⋮ Asymptotics of random lozenge tilings via Gelfand-Tsetlin schemes ⋮ Random skew plane partitions with a piecewise periodic back wall ⋮ A finitization of the bead process ⋮ Elliptically distributed lozenge tilings of a hexagon ⋮ Universality of local statistics for noncolliding random walks ⋮ Difference operators and determinantal point processes ⋮ Tilings of non-convex polygons, skew-Young tableaux and determinantal processes ⋮ Shuffling algorithm for boxed plane partitions ⋮ A periodic hexagon tiling model and non-Hermitian orthogonal polynomials ⋮ Correlation functions for determinantal processes defined by infinite block Toeplitz minors ⋮ \(q\)-Pearson pair and moments in \(q\)-deformed ensembles ⋮ Representations of classical Lie groups and quantized free convolution

Cites Work

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• The shape of a typical boxed plane partition
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• Dimers and amoebae
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• A variational principle for domino tilings
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• Matrices coupled in a chain: I. Eigenvalue correlations
• Correlation function of Schur process with application to local geometry of a random 3-dimensional Young diagram
• Asymptotics of Plancherel measures for symmetric groups

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