Mean equicontinuity, complexity and applications
Autor: | Jie Li, Xiangdong Ye, Tao Yu |
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Rok vydání: | 2021 |
Předmět: |
Discrete mathematics
Conjecture Logarithm Mathematics::General Mathematics Mathematics::Number Theory Applied Mathematics Mathematics::Spectral Theory Equicontinuity 01 natural sciences Discrete spectrum 010101 applied mathematics Development (topology) Bounded function Metric (mathematics) Discrete Mathematics and Combinatorics Complexity function 0101 mathematics Analysis Mathematics |
Zdroj: | Discrete & Continuous Dynamical Systems - A. 41:359-393 |
ISSN: | 1553-5231 |
DOI: | 10.3934/dcds.2020167 |
Popis: | We will review the recent development of the research related to mean equicontinuity, focusing on its characterizations, its relationship with discrete spectrum, topo-isomorphy, and bounded complexity. Particularly, the application of the complexity function in the mean metric to the Sarnak and the logarithmic Sarnak Mobius disjointness conjecture will be addressed. |
Databáze: | OpenAIRE |
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