References & Citations
Mathematics > Dynamical Systems
Title: Slow decay of correlations for generic mixing automorphisms
(Submitted on 21 Mar 2024 (this version), latest version 28 Mar 2024 (v4))
Abstract: Given $\psi(n)\to +0$ and non-zero $f\in L_2$, we show that for the generic mixing automorphisms $T$ the set $\{n\,:\, |(T^nf,f)|>\psi(n)\}$ is infinite.
Submission history
From: Valery V. Ryzhikov [view email][v1] Thu, 21 Mar 2024 17:41:03 GMT (17kb)
[v2] Sat, 23 Mar 2024 08:26:43 GMT (7kb)
[v3] Wed, 27 Mar 2024 09:15:48 GMT (7kb)
[v4] Thu, 28 Mar 2024 17:58:42 GMT (8kb)
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