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Airey, Dylan; Bowen, Lewis; Lin, Yuqing (, Transactions of the American Mathematical Society, Series B)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 to actions by sofic groups. However, the sofic entropy of an action may depend on a choice of sofic approximation. All previously known examples showing this dependence rely on degenerate behavior. This paper exhibits an explicit example of a mixing subshift of finite type with two different positive sofic entropies. The example is inspired by statistical physics literature on 2-colorings of random hyper-graphs.more » « less
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Simakov, Nikolay A.; Deleon, Robert L.; Lin, Yuqing; Hoffmann, Phillip S.; Mathias, William R. (, PEARC '22: Practice and Experience in Advanced Research Computing)
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Bowen, Lewis; Hayes, Ben; Lin, Yuqing Frank (, Communications in Mathematical Physics)null (Ed.)
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