Pressure Function and Limit Theorems for Almost Anosov Flows

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.

Automated summary

This study focuses on limit theorems and thermodynamic properties for a class of non-uniformly hyperbolic flows, particularly almost Anosov flows. The relationship between the pressure function and limit theorems is examined within an abstract functional analytic framework, which may have broader applications to other types of non-uniformly hyperbolic flows.