Dynamical correlations among vicious random walkers

DOI10.1016/S0375-9601(02)01661-4zbMath1006.82018arXivcond-mat/0202068MaRDI QIDQ1854581

Hideki Tanemura, Makoto Katori, Taro Nagao

Publication date: 14 January 2003

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/0202068

zbMATH Keywords

diffusion scaling limitnonintersecting Browian-particle motionrandom-matrix Gaussian unitary ensemble

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31)

Related Items (14)

Infinite systems of noncolliding generalized meanders and Riemann-Liouville differintegrals ⋮ Correlation kernels for discrete symplectic and orthogonal ensembles ⋮ Nonintersecting random walks in the neighborhood of a symmetric tacnode ⋮ Symmetry of matrix-valued stochastic processes and noncolliding diffusion particle systems ⋮ Fluctuations of the one-dimensional polynuclear growth model with external sources ⋮ Transition between Airy₁and Airy₂processes and TASEP fluctuations ⋮ Determinantal process starting from an orthogonal symmetry is a Pfaffian process ⋮ Pfaffian expressions for random matrix correlation functions ⋮ Noncolliding Brownian motion and determinantal processes ⋮ Janossy densities of coupled random matrices ⋮ Cores of Dirichlet forms related to random matrix theory ⋮ Zeros of Airy function and relaxation process ⋮ Noncolliding Brownian motion with drift and time-dependent Stieltjes-Wigert determinantal point process ⋮ Dynamical correlations for vicious random walk with a wall

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