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A topological dynamical system with two different positive sofic entropies

A topological dynamical system with two different positive sofic entropies

A sofic approximation to a countable group is a sequence of partial actions on finite sets that asymptotically approximates the action of the group on itself by left-translations. A group is sofic if it admits a sofic approximation. Sofic entropy theory is a generalization of classical entropy theory in dynamics …