Variational formulas and disorder regimes of random walks in random potentials
From MaRDI portal
Publication:502877
DOI10.3150/15-BEJ747zbMath1368.60105arXiv1410.4474OpenAlexW1856281569MaRDI QIDQ502877
Atilla Yilmaz, Firas Rassoul-Agha, Timo Seppäläinen
Publication date: 11 January 2017
Published in: Bernoulli (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1410.4474
random walkslarge deviationsvariational formulaerandom potentialsKPZ universalitydirected polymerdisorder regimesquenched free energy
Sums of independent random variables; random walks (60G50) Large deviations (60F10) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Processes in random environments (60K37)
Related Items
A shape theorem and a variational formula for the quenched Lyapunov exponent of random walk in a random potential, The endpoint distribution of directed polymers, Quenched large deviations for simple random walks on percolation clusters including long-range correlations, Quenched and averaged large deviations for random walks in random environments: the impact of disorder, Empirical Measures, Geodesic Lengths, and a Variational Formula in First-Passage Percolation, Grid entropy in last passage percolation -- a superadditive critical exponent approach, The effect of disorder on quenched and averaged large deviations for random walks in random environments: boundary behavior, Nonconvex homogenization for one-dimensional controlled random walks in random potential, Variational formulas and cocycle solutions for directed polymer and percolation models, Zero temperature limit for directed polymers and inviscid limit for stationary solutions of stochastic Burgers equation, Localization of directed polymers with general reference walk, Stationary cocycles and Busemann functions for the corner growth model, Order of the variance in the discrete Hammersley process with boundaries, Last passage percolation in an exponential environment with discontinuous rates, The corner growth model with exponential weights
