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Pressure Function and Limit Theorems for Almost Anosov Flows

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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… Click to show full 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.

Keywords: pressure function; almost anosov; function limit; limit theorems; anosov flows; limit

Journal Title: Communications in Mathematical Physics
Year Published: 2021

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