Moments and Lyapunov exponents for the parabolic Anderson model

DOI10.1214/13-AAP944zbMath1291.82078arXiv1211.7125MaRDI QIDQ2454406

Alexei Borodin, Ivan Corwin

Publication date: 13 June 2014

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.7125

zbMATH Keywords

Lyapunov exponentsparabolic Anderson model

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Exactly solvable models; Bethe ansatz (82B23)

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Large deviations of the free energy in the O'Connell-Yor polymer ⋮ Stationary measures for the log-gamma polymer and KPZ equation in half-space ⋮ Lyapunov exponents of the SHE under general initial data ⋮ Integrable probability: from representation theory to MacDonald processes ⋮ Macdonald processes ⋮ Free field theory and observables of periodic Macdonald processes ⋮ Anderson polymer in a fractional Brownian environment: asymptotic behavior of the partition function ⋮ Stochastic comparisons for stochastic heat equation ⋮ The invariant measure of PushASEP with a wall and point-to-line last passage percolation ⋮ Free field approach to the Macdonald process ⋮ Semi-discrete semi-linear parabolic SPDEs ⋮ Upper-tail large deviation principle for the ASEP ⋮ Exactly solving the KPZ equation ⋮ Lectures on integrable probability

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