CRM: Centro De Giorgi
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Seminari di Sistemi Dinamici Olomorfi 2013-2014

seminar: Exactness and infiite mixing for Markov maps of the real line

speaker: Marco Lenci (Università di Bologna)

abstract: Uniformly expanding Markov maps of the interval are extremely useful and well-known models in ergodic theory. The analogous models in infinite ergodic theory, namely, the uniformly expanding Markov maps of R which preserve an infinite measure, are instead less known. In this talk I will consider some of their chaotic properties. First, I will present a result that characterizes the exact components of a very general class of such systems, giving also sufficient conditions for exactness. Then, I will study the mixing properties of certain subclasses, in the sense of the notions of infinite mixing that I have recently introduced.


timetable:
Tue 6 May, 14:00 - 15:00, Sala Conferenze Centro De Giorgi
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