Pressure Function and Limit Theorems for Almost Anosov Flows

Communications in Mathematical Physics, vol. 382, pp. 1–47

Abstract

Abstract We obtain limit theorems (Stable Laws and Central Limit Theorems, both standard and non-standard) and thermodynamic properties for a class of non-uniformly hyperbolic flows: almost Anosov flows, constructed here. The link between the pressure function and limit theorems is studied in an abstract functional analytic framework, which may be applicable to other classes of non-uniformly hyperbolic flows.

Authors 3

1. Henk Bruin corresponding

   University of Vienna

   Affiliation as printed

   Faculty of Mathematics, University of Vienna, Oskar Morgensternplatz 1, 1090, Vienna, Austria

   Univ of Vienna

2. Dalia Terhesiu Aachen Institute of Mathematics, University of Leiden Institute of Mathematics, University of Leiden, Leiden

   Leiden University

   Affiliation as printed

   Institute of Mathematics, University of Leiden, Niels Bohrweg 1, 2333 CA, Leiden, The Netherlands

   Institute of Mathematics, University of Leiden, Leiden, The Netherlands

3. Mike Todd

   University of St Andrews

   Affiliation as printed

   Mathematical Institute, University of St Andrews North Haugh, St Andrews, KY16 9SS, Scotland

   Mathematical Institute, University of St Andrews, North Haugh, St Andrews, Scotland