A formula for the local metric pressure
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🧮 math.DS
keywords
metricformulalocalpressureapplicationbrin-katokentropyequilibrium
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In this note we present a formula for the local metric pressure that generalizes Brin-Katok result for the metric entropy. As an application, we give a straightforward proof of the fact that non-atomic weak-Gibbs invariant probability measures are equilibrium states.
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