Kardar-Parisi-Zhang equation and large deviations for random walks in weak random environments

DOI10.1007/s10955-016-1693-7zbMath1364.35365arXiv1606.07332OpenAlexW2475358176MaRDI QIDQ2396573

Yu Gu, Ivan Corwin

Publication date: 8 June 2017

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.07332

zbMATH Keywords

random walk in random environmentKPZ equationsharp large deviation

Mathematics Subject Classification ID

Statistical mechanics of polymers (82D60) Large deviations (60F10) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Processes in random environments (60K37) PDEs in connection with statistical mechanics (35Q82)

Related Items (9)

Second order cubic corrections of large deviations for perturbed random walks ⋮ Lower tail of the KPZ equation ⋮ Law of iterated logarithms and fractal properties of the KPZ equation ⋮ Stationary directed polymers and energy solutions of the Burgers equation ⋮ Random walk on nonnegative integers in beta distributed random environment ⋮ Large deviations for sticky Brownian motions ⋮ A quenched local limit theorem for stochastic flows ⋮ Large deviations and wandering exponent for random walk in a dynamic beta environment ⋮ Moderate deviations for diffusion in time dependent random media

Cites Work

• Polynomial chaos and scaling limits of disordered systems
• Random-walk in beta-distributed random environment
• The random average process and random walk in a space-time random environment in one dimension
• Macdonald processes
• The intermediate disorder regime for directed polymers in dimension \(1+1\)
• THE KARDAR–PARISI–ZHANG EQUATION AND UNIVERSALITY CLASS
• Exact solution for a random walk in a time-dependent 1D random environment: the point-to-point Beta polymer
• Probability distribution of the free energy of the continuum directed random polymer in 1 + 1 dimensions
• Quenched Free Energy and Large Deviations for Random Walks in Random Potentials
• Macdonald processes, quantum integrable systems and the Kardar-Parisi-Zhang universality class

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