Conditions for rational weak mixing

Abstract

We exhibit rationally ergodic, weakly mixing measure preserving transformations which are not subsequence rationally weakly mixing and give a condition for smoothness of renewal sequences.

References in corpus (3)

• Rational weak mixing in infinite measure spaces
• IP-rigidity and eigenvalue groups
• On Rationally Ergodic and Rationally Weakly Mixing Rank-One Transformations

Cited by in corpus (3)

• Infinite mixing for one-dimensional maps with an indifferent fixed point
• Subsequence Rational Ergodicity of Rank-One Transformations
• On the problem by Erdös-de Bruijn-Kingman on regularity of reciprocals for exponential series