KP governs random growth off a 1-dimensional substrate
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Publication:5074933
DOI10.1017/fmp.2021.9zbMath1502.60161arXiv1908.10353OpenAlexW4226404356MaRDI QIDQ5074933
Jeremy Quastel, Daniel Remenik
Publication date: 10 May 2022
Published in: Forum of Mathematics, Pi (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1908.10353
Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35)
Related Items (8)
The logarithmic anti-derivative of the baik-rains distribution satisfies the KP equation ⋮ Momenta spacing distributions in anharmonic oscillators and the higher order finite temperature Airy kernel ⋮ Uniform tail asymptotics for Airy kernel determinant solutions to KdV and for the narrow wedge solution to KPZ ⋮ Differential equations for the KPZ and periodic KPZ fixed points ⋮ Exact solution of interacting particle systems related to random matrices ⋮ The geometry of near ground states in Gaussian polymer models ⋮ Airy process with wanderers, KPZ fluctuations, and a deformation of the Tracy-Widom GOE distribution ⋮ Integration by parts and the KPZ two-point function
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