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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.NT2026
Bohr obstructions to recurrence along Hardy-field sequences
Kangbo Ouyang, Saúl Rodríguez-Martín, Leiye Xu +1
We construct Bohr obstructions to multiple recurrence along rounded Hardy-field sequences, showing that the real derivative-span criterion of Bergelson, Moreira, and Richter is ess…