The KPZ limit of ASEP with boundary

DOI10.1007/s00220-018-3258-xzbMath1420.82007arXiv1711.05297OpenAlexW2770692659MaRDI QIDQ1720193

Shalin Parekh

Publication date: 12 February 2019

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.05297

zbMATH Keywords

heat kernel estimatesasymmetric simple exclusion process

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) PDEs in connection with statistical mechanics (35Q82)

Related Items (31)

Boundary renormalisation of SPDEs ⋮ Positive random walks and an identity for half-space SPDEs ⋮ KPZ equation from non-simple variations on open ASEP ⋮ Half-space stationary Kardar–Parisi–Zhang equation beyond the Brownian case ⋮ Exact lower-tail large deviations of the KPZ equation ⋮ Half-space stationary Kardar-Parisi-Zhang equation ⋮ Intermediate disorder regime for half-space directed polymers ⋮ Markov limits of steady states of the KPZ equation on an interval ⋮ Lower tail of the KPZ equation ⋮ Derivation of the stochastic Burgers equation with Dirichlet boundary conditions from the WASEP ⋮ Stochastic PDE limit of the six vertex model ⋮ Markov processes related to the stationary measure for the open KPZ equation ⋮ Mixing times for the simple exclusion process with open boundaries ⋮ Stationary measure for six-vertex model on a strip ⋮ Stationary measures for the log-gamma polymer and KPZ equation in half-space ⋮ From the asymmetric simple exclusion processes to the stationary measures of the KPZ fixed point on an interval ⋮ Boundary current fluctuations for the half‐space ASEP and six‐vertex model ⋮ Markov duality and Bethe ansatz formula for half-line open ASEP ⋮ HALF-SPACE MACDONALD PROCESSES ⋮ Stationary measure for the open KPZ equation ⋮ Some recent progress on the stationary measure for the open KPZ equation ⋮ Some recent progress in singular stochastic partial differential equations ⋮ Delta-Bose gas on a half-line and the Kardar–Parisi–Zhang equation: boundary bound states and unbinding transitions ⋮ Riemann surface crossover for the spectral gaps of open TASEP ⋮ The lower tail of the half-space KPZ equation ⋮ Systematic time expansion for the Kardar-Parisi-Zhang equation, linear statistics of the GUE at the edge and trapped fermions ⋮ KPZ equation limit of stochastic higher spin six vertex model ⋮ Lyapunov exponents of the half-line SHE ⋮ Scaling limit of a directed polymer among a Poisson field of independent walks ⋮ Spectral gaps of open TASEP in the maximal current phase ⋮ High temperature behaviors of the directed polymer on a cylinder

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