Shuhao Zhang

collaborators

2 papers

math.NT2026

Bohr obstructions to recurrence along Hardy-field sequences

Kangbo Ouyang, SaÃºl RodrÃguez-MartÃn, 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…

math.DS2026

Perturbed Polynomial Powers and Bourgain Entropy Obstructions for Khintchin Averages

Zhuowen Guo, Shuhao Zhang

Let $a \geq 2$ , let $p \in Z [n]$ be eventually increasing and eventually non-negative, and let $I^»_{n} = a^{p (n)} + f (n) > 0$ , where $f (n) \in Z$ . We prove, using Bourgain's bou…