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arxiv: 1410.8640 · v1 · pith:5EXCDQ2Nnew · submitted 2014-10-31 · 🧮 math.DS

Entry times distribution for dynamical balls on metric spaces

classification 🧮 math.DS
keywords ballsdistributiondynamicalentryexponentialsystemstimesalpha
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We show that the entry and return times for dynamic balls (Bowen balls) is exponential for systems that have an $\alpha$-mixing invariant measure with certain regularities. We also show that systems modeled by Young's tower has exponential hitting time distribution for dynamical balls

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