Year: 2026
Type: preprint
Abstract: Let $\mathcal N$ be a von Neumann algebra equipped with a normal faithful semifinite trace, and let $γ$ be a trace-preserving automorphism of $\mathcal N$. We consider the ergodic averages along the prime numbers \[ A_N(x) := \frac1{|P_N|} \sum_{q\in P_N}γ^q(x), \qquad P_N:=\{q\leq N:q\ \text{is prime}\}. \] For every $1
Source: arXiv (Cornell University)
Authors: Hong, Guixiang, Wang, Liang
Institutions: City University of Hong Kong, Harbin Institute of Technology
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7204875540