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Regular version of the site

Book chapter

Topological, metric (Harris) and Poincare recurrences for general Markov chains

P. 325-328.

The aim of this work is to analyze a circle of questions related to the notion of 
recurrence in general general Markov chains. Being well known in two very different 
subfields of random systems: lattice random walks and ergodic theory of continuous 
selfmaps, the recurrence property is next to being neglected in general theory of 
Markov chains (perhaps except for a few notable exceptions which we will discuss in detail).