Large deviations and wandering exponent for random walk in a dynamic beta environment
From MaRDI portal
Publication:2327944
DOI10.1214/18-AOP1306zbMath1466.60196arXiv1801.08070OpenAlexW2955077608MaRDI QIDQ2327944
Firas Rassoul-Agha, Márton Balázs, Timo Seppäläinen
Publication date: 8 October 2019
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1801.08070
large deviationsrandom environmenthypergeometric functionrandom walkKardar-Parisi-Zhangbeta distributionRWREKPZwandering exponentDoob transform
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Processes in random environments (60K37)
Related Items (12)
On the stationary solutions of random polymer models and their zero-temperature limits ⋮ A shape theorem and a variational formula for the quenched Lyapunov exponent of random walk in a random potential ⋮ Joint distribution of Busemann functions in the exactly solvable corner growth model ⋮ Uniqueness and ergodicity of stationary directed polymers on \(\mathbb{Z}^2\) ⋮ Random walk on nonnegative integers in beta distributed random environment ⋮ Optimal-order exit point bounds in exponential last-passage percolation via the coupling technique ⋮ The Bethe ansatz for sticky Brownian motions ⋮ Stationary measures for two dual families of finite and zero temperature models of directed polymers on the square lattice ⋮ Large deviations for sticky Brownian motions ⋮ Large deviations and wandering exponent for random walk in a dynamic beta environment ⋮ Hidden diagonal integrability of q-Hahn vertex model and beta polymer model ⋮ Moderate deviations for diffusion in time dependent random media
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Random walks in dynamic random environments: a transference principle
- Variational formulas and cocycle solutions for directed polymer and percolation models
- Random-walk in beta-distributed random environment
- New bounds for the free energy of directed polymers in dimension \(1+1\) and \(1+2\)
- Scaling for a one-dimensional directed polymer with boundary conditions
- Stationary cocycles and Busemann functions for the corner growth model
- Differing averaged and quenched large deviations for random walks in random environments in dimensions two and three
- The random average process and random walk in a space-time random environment in one dimension
- Ratios of partition functions for the log-gamma polymer
- Large deviations for a random walk in random environment
- Quenched, annealed and functional large deviations for one-dimensional random walk in random environment
- Random walks in Dirichlet environment: an overview. Dedicated to Dominique Bakry on the occasion of his 60th birthday
- Random walk on random walks: higher dimensions
- Large deviations and wandering exponent for random walk in a dynamic beta environment
- Averaged vs. quenched large deviations and entropy for random walk in a dynamic random environment
- Kardar-Parisi-Zhang equation and large deviations for random walks in weak random environments
- Quenched point-to-point free energy for random walks in random potentials
- The intermediate disorder regime for directed polymers in dimension \(1+1\)
- An almost sure invariance principle for random walks in a space-time random environment
- Random walk in cooling random environment: ergodic limits and concentration inequalities
- Exact solution for a random walk in a time-dependent 1D random environment: the point-to-point Beta polymer
- The Beta Product Distribution with Complex Parameters
- Distributions of the ratios of independent beta variables and applications
- Fluctuation exponents for stationary exactly solvable lattice polymer models via a Mellin transform framework
- Quenched large deviations for random walk in a random environment
This page was built for publication: Large deviations and wandering exponent for random walk in a dynamic beta environment
