Random walk on random walks: low densities

DOI10.1214/19-AAP1537zbMath1464.60027arXiv1709.01257MaRDI QIDQ2657919

Renato S. dos Santos, Oriane Blondel, Marcelo Richard Hilário, Augusto Q. Teixeira, Vladas Sidoravićius

Publication date: 18 March 2021

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.01257

zbMATH Keywords

functional central limit theoremstrong law of large numbersrandom walkrenormalisationdynamic random environmentregeneration timeslarge deviation bound

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Strong limit theorems (60F15) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Processes in random environments (60K37) Dynamics of disordered systems (random Ising systems, etc.) in time-dependent statistical mechanics (82C44)

Related Items (2)

Transience and recurrence of sets for branching random walk via non-standard stochastic orders ⋮ Random walk on random walks: higher dimensions

Cites Work

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• Zero-one law for directional transience of one-dimensional random walks in dynamic random environments
• Random walks in dynamic random environments: a transference principle
• Scaling of a random walk on a supercritical contact process
• Symmetric exclusion as a random environment: hydrodynamic limits
• A class of random walks in reversible dynamic environments: antisymmetry and applications to the east model
• Law of large numbers for a class of random walks in dynamic random environments
• Absolute continuity and weak uniform mixing of random walk in dynamic random environment
• Random walk on random walks
• Random walk driven by simple exclusion process
• A process in a randomly fluctuating environment
• Random walk in dynamic environment with mutual influence
• An effective criterion for ballistic behavior of random walks in random environment
• Explicit LDP for a slowed RW driven by a symmetric exclusion process
• Law of large numbers for non-elliptic random walks in dynamic random environments
• A law of large numbers for random walks in random mixing environments.
• Non-trivial linear bounds for a random walk driven by a simple symmetric exclusion process
• Random walk in a high density dynamic random environment
• Random walk on random walks: higher dimensions
• Law of large numbers for random walks on attractive spin-flip dynamics
• Random walks generated by equilibrium contact processes
• Transient random walk in symmetric exclusion: limit theorems and an Einstein relation
• Large deviation principle for one-dimensional random walk in dynamic random environment: attractive spin-flips and simple symmetric exclusion
• The contact process as seen from a random walk
• Level 1 quenched large deviation principle for random walk in dynamic random environment
• Random walks in a random environment

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