Coincidence rank and multivariate equicontinuity
Felipe Garc\'ia-Ramos, Irma Le\'on-Torres
TL;DR
This paper characterizes when the coincidence rank, a measure of regularity in dynamical systems, is finite by introducing a multivariate concept of equicontinuity, advancing understanding in topological dynamics.
Contribution
It provides a new characterization of the finiteness of coincidence rank through a multivariate equicontinuity framework, extending prior concepts in dynamical systems theory.
Findings
Finiteness of coincidence rank is characterized by multivariate equicontinuity.
Introduces a multivariate notion of equicontinuity relevant to dynamical systems.
Enhances understanding of the structure of minimal dynamical systems.
Abstract
The coincidence rank, introduced by Barge and Kwapisz, measures the regularity of the maximal equicontinuous factor of minimal dynamical systems. We provide a characterization of the finiteness of coincidence rank using a multivariate notion of equicontinuity.
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Taxonomy
TopicsDecision-Making and Behavioral Economics · Multi-Criteria Decision Making · Cognitive Science and Mapping