Pressure function and limit theorems for Almost Anosov flows

Bruin, H.; Terhesiu, D.E.; Todd, M. (2021)

Article / Letter to editor

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.

• Thermodynamic formalism, Limit laws, Phase transition, Almost Anov flows

• All authors: Bruin, H.; Terhesiu, D.E.; Todd, M.
• Date: 2021-02-19
• Journal: Communications in Mathematical Physics
• Volume: 382
• Pages: 1 - 47
• DOI: doi:10.1007/s00220-021-03962-x