Combinatorial Independence and Sofic Entropy

David Kerr , Hanfeng Li

Communications in Mathematics and Statistics ›› 2013, Vol. 1 ›› Issue (2) : 213 -257.

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Communications in Mathematics and Statistics ›› 2013, Vol. 1 ›› Issue (2) : 213 -257. DOI: 10.1007/s40304-013-0001-y
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Combinatorial Independence and Sofic Entropy

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Abstract

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

Keywords

Independence / Sofic entropy / Loeb space / Algebraic action / Fuglede-Kadison determinant / Li-Yorke chaos

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David Kerr, Hanfeng Li. Combinatorial Independence and Sofic Entropy. Communications in Mathematics and Statistics, 2013, 1(2): 213-257 DOI:10.1007/s40304-013-0001-y

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