Entropy for random group actions
نویسندگان
چکیده
We consider the entropy of systems of random transformations, where the transformations are chosen from the set of generators of a Z action. We show that the classical definition gives unsatisfactory entropy results in the higher-dimensional case, i.e. when d ≥ 2. We propose a new definition of the entropy for random group actions which agrees with the classical definition in the one-dimensional case, and which gives satisfactory results in higher dimensions. We identify the entropy by a concrete formula which makes it possible to compute the entropy in certain cases. Along the way, we show that the random version of Krieger’s theorem on the existence of finite generators is not valid.
منابع مشابه
The Erwin Schrr Odinger International Institute for Mathematical Physics Entropy for Random Group Actions
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تاریخ انتشار 1998