Título: An Effective Class of Ballistic Random Walks in Mixing Random Environments

Palestrante: Glauco Valle (IM-UFRJ)
Data: 25/01/2021
Horário: 15:00 -  16:00. (Rio de Janeiro local time)
Local: Transmissão online

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Resumo: We study d-dimensional random walks in strong mixing environments (RWRE), with underlying dimension d>=2. Under a suitable polynomial effective condition, we prove a functional central limit theorem of ballistic type. Specifically, we construct a new effective criterion equivalent to usual ballisticity conditions. This construction allows us to prove, in a mixing framework, the RWRE conjecture regarding the equivalence between ballisticity conditions already proved for iid environments. We then obtain the polynomial effective condition that provides the existence of arbitrary finite moments for approximate regeneration times, yielding the central limit theorem for the RWRE.

Joint work with Maria Eulalia Vares (UFRJ) and Enrique Guerra (PUC-Chile).

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