Combinatorial independence and sofic entropy

Abstract

We undertake a local analysis of combinatorial independence as it connects to topological entropy within the framework of actions of sofic groups.

arXiv comment40 pages; minor changes; to appear in Comm. Math. Stat

References in corpus (3)

• Mahler measures and Fuglede--Kadison determinants
• Homoclinic groups, IE groups, and expansive algebraic actions
• On tame enveloping semigroups

Cited by in corpus (1)

• Asymptotic pairs, stable sets and chaos in positive entropy systems