Polynomial ballisticity conditions and invariance principle for random walks in strong mixing environments

DOI10.1007/S00440-021-01106-9zbMath1500.60058OpenAlexW4206816034MaRDI QIDQ2128096

Enrique Guerra, Glauco Valle, Maria Eulália Vares

Publication date: 21 April 2022

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

Full work available at URL: https://doi.org/10.1007/s00440-021-01106-9

zbMATH Keywords

invariance principlerandom walk in random environmentballisticity conditionsmixing environment

Mathematics Subject Classification ID

Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Processes in random environments (60K37)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Random walks on disordered media and their scaling limits. École d'Été de Probabilités de Saint-Flour XL -- 2010
• Recent progress on the random conductance model
• Central limit theorem for random walks in doubly stochastic random environment: \(\mathcal{H}_{-1}\) suffices
• Generalized random walk in a random environment
• Gaussian fluctuations for random walks in random mixing environments
• Almost sure functional central limit theorem for ballistic random walk in random environment
• The point of view of the particle on the law of large numbers for random walks in a mixing random environment
• Slowdown estimates and central limit theorem for random walks in random environment
• A law of large numbers for random walks in random environment
• An effective criterion for ballistic behavior of random walks in random environment
• Quenched central limit theorem for random walks in doubly stochastic random environment
• On a class of transient random walks in random environment
• On new examples of ballistic random walks in random environment
• A law of large numbers for random walks in random mixing environments.
• On the transient (T) condition for random walk in mixing environment
• Asymptotic direction for random walks in mixing random environments
• On the limiting velocity of random walks in mixing random environment
• Almost exponential decay for the exit probability from slabs of ballistic RWRE
• Effective Polynomial Ballisticity Conditions for Random Walk in Random Environment
• A Proof of Sznitman's Conjecture about Ballistic RWRE
• Random walks in a random environment
• A quenched functional central limit theorem for random walks in random environments under \((T)_\gamma\)

This page was built for publication: Polynomial ballisticity conditions and invariance principle for random walks in strong mixing environments