BIRS Workshop Lecture Videos
Predictability, topological entropy and invariant random orders Meyerovitch, Tom
In this talk I'll discuss the notion of "invariant random orders", and explain how it can be useful in studying actions of countable groups. In particular, we'll formulate a unified "Kieffer-Pinsker formula" for the Kolmogorov-Sinai entropy of measure preserving actions of amenable groups, and show how it can be used to prove that a topologically predictable action of a countable amenable group has zero topological entropy, as conjectured by Hochman, and mention some related open problems. Based on joint work with Andrei Alpeev and Sieye Ryu.
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