Discrete Toeplitz/Hankel Determinants and the Width of Nonintersecting Processes

DOI10.1093/imrn/rnt143zbMath1320.60118arXiv1212.4467OpenAlexW2028434095MaRDI QIDQ2929659

Zhipeng Liu, Jinho Baik

Publication date: 14 November 2014

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.4467

zbMATH Keywords

discrete Hankel determinantsdiscrete Toeplitz determinantsnonintersecting processes

Mathematics Subject Classification ID

Random fields (60G60) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Random operators and equations (aspects of stochastic analysis) (60H25) Orthogonal polynomials and functions associated with root systems (33C52) Toeplitz, Cauchy, and related matrices (15B05)

Related Items (10)

Exact solvability and asymptotic aspects of generalized XX0 spin chains ⋮ Toeplitz Matrices and Toeplitz Determinants under the Impetus of the Ising Model: Some History and Some Recent Results ⋮ Periodic TASEP with general initial conditions ⋮ Nonintersecting Brownian bridges on the unit circle with drift ⋮ Phase transition in complex-time Loschmidt echo of short and long range spin chain ⋮ Chern–Simons theory encoded on a spin chain ⋮ Nonintersecting Brownian bridges between reflecting or absorbing walls ⋮ Meet Andréief, Bordeaux 1886, and Andreev, Kharkov 1882–1883 ⋮ Phase structure of XX0 spin chain and nonintersecting Brownian motion ⋮ One-point distribution of the geodesic in directed last passage percolation

This page was built for publication: Discrete Toeplitz/Hankel Determinants and the Width of Nonintersecting Processes