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 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.
Bruin , H , Terhesiu , D & Todd , M J 2021 , ' Pressure function and limit theorems for almost Anosov flows ' , Communications in Mathematical Physics , vol. 382 , no. 1 , pp. 1-47 . https://doi.org/10.1007/s00220-021-03962-x
Communications in Mathematical Physics
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DescriptionFunding: HB gratefully acknowledges the support of FWF grant P31950-N45. DT was partially supported by EPSRC grant EP/S019286/1.
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