On a nonlinear SPDE derived from a hydrodynamic limit in a Sinai-type random environment
From MaRDI portal
Publication:6103967
DOI10.1214/22-aap1813MaRDI QIDQ6103967
Jianfei Xue, Carlos G. Pacheco-González, Claudio Landim, Sunder Sethuraman
Publication date: 5 June 2023
Published in: The Annals of Applied Probability (Search for Journal in Brave)
regularizationhydrodynamicquasilinearinhomogeneousinteracting particle systemSPDEquenchedannealedzero-rangeBrox diffusionSinai random environment
Interacting random processes; statistical mechanics type models; percolation theory (60K35) Processes in random environments (60K37) Rough partial differential equations (60L50)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nonequilibrium fluctuations for a tagged particle in one-dimensional sublinear zero-range processes
- Quenched scaling limits of trap models
- Systems of one-dimensional random walks in a common random environment.
- Spectral gap for zero-range dynamics
- Random walks in a sparse random environment
- Nonequilibrium fluctuations for a tagged particle in mean-zero one-dimensional zero-range processes
- Spectral gap for the zero range process with constant rate
- Bulk diffusion in a system with site disorder
- Scaling limits for gradient systems in random environment
- Hydrodynamic limit of zero range processes among random conductances on the supercritical percolation cluster
- Spectral gap for zero-range processes with jump rate \(g(x)=x^{\gamma}\)
- Random walks and exclusion processes among random conductances on random infinite clusters: homogenization and hydrodynamic limit
- A one-dimensional diffusion process in a Wiener medium
- The limit distribution of Sinai's random walk in random environment
- Invariant measures for the zero range process
- Large deviations from the hydrodynamical limit of mean zero asymmetric zero range processes
- Discrete schemes for processes in random media
- Hydrodynamic limit for a system of independent, sub-ballistic random walks in a common random environment
- Symmetric random walk in random environment in one dimension
- Asymptotics of PDE in random environment by paracontrolled calculus
- On hydrodynamic limits of Young diagrams
- Invariance principles for random walks in random environment on trees
- Stochastic differential equation for Brox diffusion
- Hydrodynamic behavior of 1D subdiffusive exclusion processes with random conductances
- Nonequilibrium central limit theorem for a tagged particle in symmetric simple exclusion
- Nonequilibrium statistical mechanics of the zero-range process and related models
- On limiting distributions for a random walk in a critical one-dimensional random environment
