Planar random walk in a stratified quasi-periodic environment

Julien Brémont (1)

1 LAMA - Laboratoire d'Analyse et de Mathématiques Appliquées

We study the recurrence of inhomogeneous Markov chains in the plane, when the environment is horizontally stratified and the heterogeneity of quasi-periodic type.

Mots clés: recurrence; stratified environment; Markov chain; quasi-periodic environment; AMS 2020 subject classifications : 37E05; 37E10; 60G17; 60J10; 60K37 Markov chain

Domaines: Systèmes dynamiques [math.DS]; Probabilités [math.PR]

Julien Brémont. Planar random walk in a stratified quasi-periodic environment. Markov Processes And Related Fields, 2021, 27 (5), pp.755-788. ⟨hal-02887510v2⟩