Peter Nandori

Title: Mixing and the local central limit theorem for hyperbolic systems

Abstract: First, we discuss a joint generalization of mixing and the local central limit theorem for a general class of flows with some hyperbolicity (such as Axiom A flows, Sinai billiard flows, suspensions over Pomeau-Manneville maps and geometric Lorenz attractors). In case of Z-extensions, our results imply the Krickeberg mixing for the corresponding infinite measure preserving flow. Then we apply this approach to study some other definitions of infinite measure mixing for systems that are well approximated by a Z-extension of a hyperbolic system (such as some ping pong models). Joint work with Dmitry Dolgopyat.