 0998 Marco Lenci
 On infinitevolume mixing
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Jun 22, 09

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Abstract. In the context of the longstanding issue of mixing in infinite ergodic theory, we introduce the idea of mixing for observables possessing an infinitevolume average. The idea is borrowed from statistical mechanics and appears to be relevant, at least for extended systems with a direct physical interpretation. We discuss the pros and cons of a few mathematical definitions that can be devised, testing them on a prototypical class of infinite measurepreserving dynamical systems, namely, the random walks.
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