Busemann functions and semi-infinite O'Connell-Yor polymers

DOI10.3150/19-BEJ1177zbMath1437.82028arXiv1905.13353OpenAlexW3018842261MaRDI QIDQ2174986

Tom Alberts, Firas Rassoul-Agha, Mackenzie Simper

Publication date: 27 April 2020

Published in: Bernoulli (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.13353

zbMATH Keywords

Busemann functionsO'Connell-Yor polymersemi-infinite quenched path measures

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Attractors (35B41) Brownian motion (60J65) Statistical mechanics of polymers (82D60) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Time-dependent percolation in statistical mechanics (82C43)

Related Items (5)

Dynamic polymers: invariant measures and ordering by noise ⋮ Joint localization of directed polymers ⋮ Busemann process and semi-infinite geodesics in Brownian last-passage percolation ⋮ Global structure of semi-infinite geodesics and competition interfaces in Brownian last-passage percolation ⋮ Existence and coexistence in first-passage percolation

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