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On mixing and the local central limit theorem for hyperbolic flows (1710.08568v1)

Published 24 Oct 2017 in math.DS

Abstract: We formulate abstract conditions under which a suspension flow satisfies the local central limit theorem. We check the validity of these conditions for several systems including reward renewal processes, Axiom A flows, as well as the systems admitting Young tower, such as Sinai billiard with finite horizon, suspensions over Pomeau-Manneville maps, and geometric Lorenz attractors.

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