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Author: Santos, Renato Soares dos × Subject: directional transience ×

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    Zero-one law for directional transience of one-dimensional random walks in dynamic random environments
    (Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2015) Orenshtein, Tal; Santos, Renato Soares dos
    We prove the trichotomy between transience to the right, transience to the left and recurrence of one-dimensional nearest-neighbour random walks in dynamic random environments under fairly general assumptions, namely: stationarity under space-time translations, ergodicity under spatial translations, and a mild ellipticity condition. In particular, the result applies to general uniformly elliptic models and also to a large class of non-uniformly elliptic cases that are i.i.d. in space and Markovian in time.