On mixing and the local central limit theorem for hyperbolic flows

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.

References in corpus (2)

• Thermodynamics of the Katok Map
• Infinite measure renewal theorem and related results

Cited by in corpus (6)

• Expansions in the local and the central limit theorems for dynamical systems
• Sharp error term in local limit theorems and mixing for Lorentz gases with infinite horizon
• Infinite measure renewal theorem and related results
• Bernoulli property for certain skew products over hyperbolic systems
• Abelian covers of hyperbolic surfaces: equidistribution of spectra and infinite volume mixing asymptotics for horocycle flows
• Sharp large deviations for hyperbolic flows