HALF-SPACE MACDONALD PROCESSES

DOI10.1017/fmp.2020.3zbMath1445.60071arXiv1802.08210OpenAlexW3103873581MaRDI QIDQ5112795

Ivan Corwin, Guillaume Barraquand, Alexei Borodin

Publication date: 8 June 2020

Published in: Forum of Mathematics, Pi (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.08210

zbMATH Keywords

Kardar-Parisi-Zhang equationMacdonald processes

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Symmetric functions and generalizations (05E05) Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Exactly solvable models; Bethe ansatz (82B23) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (21)

Multi-point distribution of discrete time periodic TASEP ⋮ Asymptotic fluctuations of geometric \(q\)-TASEP, geometric \(q\)-PushTASEP and \(q\)-PushASEP ⋮ Positive random walks and an identity for half-space SPDEs ⋮ Half-space stationary Kardar–Parisi–Zhang equation beyond the Brownian case ⋮ Half-space stationary Kardar-Parisi-Zhang equation ⋮ Intermediate disorder regime for half-space directed polymers ⋮ The half-space Airy stat process ⋮ Skew RSK dynamics: Greene invariants, affine crystals and applications toq-Whittaker polynomials ⋮ The lower tail of \(q\)-pushTASEP ⋮ Time-time covariance for last passage percolation in half-space ⋮ New approach to KPZ models through free fermions at positive temperature ⋮ Stationary measures for the log-gamma polymer and KPZ equation in half-space ⋮ Boundary current fluctuations for the half‐space ASEP and six‐vertex model ⋮ Random walk on nonnegative integers in beta distributed random environment ⋮ Refined Littlewood identity for spin Hall-Littlewood symmetric rational functions ⋮ The lower tail of the half-space KPZ equation ⋮ Lyapunov exponents of the half-line SHE ⋮ Free field approach to the Macdonald process ⋮ Correlation functions of the Pfaffian Schur process using Macdonald difference operators ⋮ The geometric Burge correspondence and the partition function of polymer replicas ⋮ A stationary model of non-intersecting directed polymers

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