Markov processes of infinitely many nonintersecting random walks

DOI10.1007/s00440-012-0417-4zbMath1278.60113arXiv1106.1299OpenAlexW2096307945MaRDI QIDQ1950386

Vadim Gorin, Alexei Borodin

Publication date: 13 May 2013

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

Full work available at URL: https://arxiv.org/abs/1106.1299

zbMATH Keywords

determinantal point processnon-intersecting pathsGelfand-Tsetlin schemeinfinite-dimensional Markov process

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (19)

Extended Gelfand-Tsetlin graph, its \(q\)-boundary, and \(q\)-B-splines ⋮ Anisotropic growth of random surfaces in \({2+1}\) dimensions ⋮ A quantization of the harmonic analysis on the infinite-dimensional unitary group ⋮ Asymptotics of noncolliding q-exchangeable random walks ⋮ Uniform convergence to the Airy line ensemble ⋮ PushTASEP in inhomogeneous space ⋮ Markov processes on the path space of the Gelfand-Tsetlin graph and on its boundary ⋮ Brownian Gibbs property for Airy line ensembles ⋮ Integrable probability: from representation theory to MacDonald processes ⋮ Macdonald processes ⋮ Infinite-dimensional stochastic differential equations related to Bessel random point fields ⋮ Limit behavior of a compound Poisson process with switching between multiple values ⋮ Limits of multilevel TASEP and similar processes ⋮ Law of large numbers for infinite random matrices over a finite field ⋮ Mapping TASEP Back in time ⋮ Tightness of Bernoulli Gibbsian line ensembles ⋮ Markov dynamics on the dual object to the infinite-dimensional unitary group ⋮ Noncolliding Macdonald walks with an absorbing wall ⋮ \(q\)-TASEP with position-dependent slowing

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