Year: 2020
Type: article
Abstract: Let ( X , T ) be a topological dynamical system and μ ∈ M ( X , T ). We show that ( X , B , μ , T ) is rigid if and only if there exists some subsequence A of N such that ( X , T ) is μ – A -equicontinuous if and only if there exists some IP-set A such that ( X , T ) is μ – A -equicontinuous. We show that if there exists some subsequence A of N with positive upper density such that ( X , T ) is μ – A -mean-equicontinuous, then ( X , B , μ , T ) is rigid. We also give results with respect to a function.
Source: Nonlinearity
Author: Fangzhou Cai
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
Award: 零熵系统及其相关问题的研究
OpenAlex ID: W2939489878