Combinatorial independence and sofic entropy
David Kerr, Hanfeng Li
TL;DR
This paper explores the relationship between combinatorial independence and topological entropy in the context of sofic group actions, providing a local analytical perspective.
Contribution
It introduces a local analysis approach to connect combinatorial independence with topological entropy for sofic groups.
Findings
Establishes a link between combinatorial independence and entropy in sofic group actions
Provides new insights into the local structure of entropy in dynamical systems
Advances understanding of entropy in non-amenable group actions
Abstract
We undertake a local analysis of combinatorial independence as it connects to topological entropy within the framework of actions of sofic groups.
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Taxonomy
TopicsMathematical Dynamics and Fractals · Computability, Logic, AI Algorithms · Topological and Geometric Data Analysis