-periodic graphs.
A special set of exceptional times for dynamical random walk on .
Return probabilities of a simple random walk on percolation clusters.
If the [T,Id] automorphism is Bernoulli then the [T,Id] endomorphism is standard
For any 1-1 measure preserving map T of a probability space we can form the [T,Id] and automorphisms as well as the corresponding endomorphisms and decreasing sequence of σ-algebras. In this paper we show that if T has zero entropy and the [T,Id] automorphism is isomorphic to a Bernoulli shift then the decreasing sequence of σ-algebras generated by the [T,Id] endomorphism is standard. We also show that if T has zero entropy and the [T²,Id] automorphism is isomorphic to a Bernoulli shift then the...
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