Brémont, J. On planar random walks in environments invariant by horizontal translations. (English) Zbl 1359.60060 Markov Process. Relat. Fields 22, No. 2, 267-309 (2016). Summary: We give a recurrence criterion for a model of planar random walk in environment invariant under horizontal translations. Some examples are next developed, for instance when the environment is produced by a dynamical system. Cited in 1 ReviewCited in 5 Documents MSC: 60G50 Sums of independent random variables; random walks 60J10 Markov chains (discrete-time Markov processes on discrete state spaces) 60K15 Markov renewal processes, semi-Markov processes 60K20 Applications of Markov renewal processes (reliability, queueing networks, etc.) Keywords:planar random walks; Markov chain; recurrence criterion; continued fraction PDFBibTeX XMLCite \textit{J. Brémont}, Markov Process. Relat. Fields 22, No. 2, 267--309 (2016; Zbl 1359.60060)