Quenched local central limit theorem for random walks in a time-dependent balanced random environment

DOI10.1007/s00440-021-01097-7zbMath1500.60057arXiv1710.05508OpenAlexW2765972612MaRDI QIDQ2073175

Xiaoqin Guo, Jean-Dominique Deuschel

Publication date: 27 January 2022

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.05508

zbMATH Keywords

local limit theoremparabolic Harnack inequalityrandom walks in random environmentsnon-divergence form operatorsbalanced environments

Mathematics Subject Classification ID

Processes in random environments (60K37)

Related Items (3)

Local limit theorems for a directed random walk on the backbone of a supercritical oriented percolation cluster ⋮ A quenched local limit theorem for stochastic flows ⋮ Quenched invariance principle for long range random walks in balanced random environments

Cites Work

• Unnamed Item
• Unnamed Item
• Harnack inequalities on weighted graphs and some applications to the random conductance model
• Stability and instability of Gaussian heat kernel estimates for random walks among time-dependent conductances
• Quenched invariance principle for random walks in balanced random environment
• Positive solutions of elliptic equations in nondivergence form and their adjoints
• Parabolic Harnack inequality and local limit theorem for percolation clusters
• The \(L^ p\)-integrability of Green's functions and fundamental solutions for elliptic and parabolic equations
• Second order parabolic equations in nonvariational form: Boundary Harnack principle and comparison theorems for nonnegative solutions
• Uniform pointwise ergodic theorems for classes of averaging sets and multiparameter subadditive processes
• Weak convergence of a random walk in a random environment
• Parabolic Harnack inequality and estimates of Markov chains on graphs
• Quenched invariance principle for random walk in time-dependent balanced random environment
• Quenched invariance principle for random walks with time-dependent ergodic degenerate weights
• Doubling properties for second order parabolic equations.
• Evolving monotone difference operators on general space-time meshes
• Green kernel asymptotics for two-dimensional random walks under random conductances
• A quenched invariance principle for non-elliptic random walk in i.i.d. balanced random environment
• Invariance principle for the random conductance model with dynamic bounded conductances
• Gaussian estimates for spatially inhomogeneous random walks on \(\mathbb Z^d\)
• On estimating the derivatives of symmetric diffusions in stationary random environment, with applications to \(\nabla\varphi\) interface model
• Quenched local limit theorem for random walks among time-dependent ergodic degenerate weights
• A NOTE ON REAL-WORLD AND RISK-NEUTRAL DYNAMICS FOR HEATH–JARROW–MORTON FRAMEWORKS
• Weighted norm inequalities for maximal functions and singular integrals
• Behavior near the boundary of positive solutions of second order parabolic equations. II
• Bounds for the fundamental solutions of elliptic and parabolic equations
• Estimates for Differences and Harnack Inequality for Difference Operators Coming From Random Walks with Symmetric, Spatially Inhomogeneous, Increments

This page was built for publication: Quenched local central limit theorem for random walks in a time-dependent balanced random environment