Asymmetry of Entropy Invariants for Generic Mixing Z^n-Actions
classification
🧮 math.DS
keywords
mixingactionactionsentropygenericasymmetrycompletelyexists
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Suppose that for a mixing $Z^n$-action, $n>1$, there exists a Kirillov-Kushnirenko entropy that is zero for this action and completely positive for its inverse. We prove that this property is generic for the mixing $Z^n$-actions.
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