Measure-theoretic equicontinuity and rigidity
Measure-theoretic equicontinuity and rigidity
Let (X, T) be a topological dynamical system and μ ∈ M(X, T). We show that is rigid if and only if there exists some subsequence A of such that (X, T) is μ–A-equicontinuous if and only if there exists some IP-set A such that (X, T) is μ–A-equicontinuous. We …