3 papers
math.DS2026
Positive Rokhlin Entropy Implies Infinite -Orbit Multiplicity: A Negative Answer to Thouvenot's Question
Zongrui Hu, Leiye Xu, Shuhao Zhang
We prove that every free ergodic measure-preserving action of a countably infinite amenable group with positive Rokhlin entropy has infinite complex -orbit multiplicity, both…
math.DS2025
Discrete spectrum of probability measures for locally compact group actions
Zongrui Hu, Xiao Ma, Leiye Xu +1
In this paper, we investigate the discrete spectrum of probability measures for actions of locally compact groups. We establish that a probability measure has a discrete spectrum i…
math.DS2024
Minimal frequently stable is almost automorphic
Leiye Xu, Zongrui Hu
We show that a minimal toplogical dynamical system that is frequently stable if and only if it is almost automorphic.