Subsequence Rational Ergodicity of Rank-One Transformations

Abstract

We show that all rank-one transformations are subsequence boundedly rationally ergodic and that there exist rank-one transformations that are not weakly rationally ergodic.

Added references, minor updates

References in corpus (3)

• Rational weak mixing in infinite measure spaces
• On Mixing Rank One Infinite Transformations
• Conditions for rational weak mixing