Averaged vs. quenched large deviations and entropy for random walk in a dynamic random environment

DOI10.1214/17-EJP74zbMath1368.60028arXiv1607.07000OpenAlexW2491949508MaRDI QIDQ2362564

Timo Seppäläinen, Firas Rassoul-Agha, Atilla Yilmaz

Publication date: 10 July 2017

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.07000

zbMATH Keywords

large deviationsempirical processrandom walknonstationary processDoob \(h\)-transformdynamic random environmentDonsker-Varadhan relative entropyspecific relative entropy

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Large deviations (60F10) Processes in random environments (60K37) Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41) Dynamics of disordered systems (random Ising systems, etc.) in time-dependent statistical mechanics (82C44)

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