Mean equicontinuity, complexity and applications
Jie Li, Xiangdong Ye, Tao Yu
Abstract
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 Möbius disjointness conjecture will be addressed.
Topics & Concepts
EquicontinuityConjectureMathematicsBounded functionMetric (unit)LogarithmPure mathematicsDiscrete mathematicsFunction (biology)Mathematical analysisBiologyOperations managementEvolutionary biologyEconomicsAnalytic Number Theory ResearchAdvanced Algebra and GeometryAnalytic and geometric function theory