The logarithmic anti-derivative of the baik-rains distribution satisfies the KP equation

DOI10.1214/22-ECP469zbMath1496.60118OpenAlexW4285206980MaRDI QIDQ2152569

Xin Cheng Zhang

Publication date: 8 July 2022

Published in: Electronic Communications in Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/22-ecp469

zbMATH Keywords

limiting distributionthe KPZ equation

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41)

Cites Work

• Height fluctuations for the stationary KPZ equation
• Operator limit of the circular beta ensemble
• Scaling limit for the space-time covariance of the stationary totally asymmetric simple exclusion process
• Fluctuations of the one-dimensional polynuclear growth model with external sources
• A scheme for integrating the nonlinear equations of mathematical physics by the method of the inverse scattering problem. I
• Scale invariance of the PNG droplet and the Airy process
• Discrete polynuclear growth and determinantal processes
• Limiting distributions for a polynuclear growth model with external sources
• The KPZ fixed point
• General determinants and the tau function for the Kadomtsev-Petviashvili hierarchy
• Limit process of stationary TASEP near the characteristic line
• Convergence of exclusion processes and the KPZ equation to the KPZ fixed point
• KP governs random growth off a 1-dimensional substrate
• Large deviations for the Kardar– Parisi–Zhang equation from the Kadomtsev–Petviashvili equation

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