Pressure function and limit theorems for almost Anosov flows

Henk Bruin; Dalia Terhesiu; Michael John Todd

doi:10.1007/s00220-021-03962-x

Pressure function and limit theorems for almost Anosov flows

Henk Bruin, Dalia Terhesiu, Michael John Todd

Pure Mathematics

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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.

Original language	English
Pages (from-to)	1-47
Journal	Communications in Mathematical Physics
Volume	382
Issue number	1
Early online date	19 Feb 2021
DOIs	https://doi.org/10.1007/s00220-021-03962-x
Publication status	Published - Feb 2021

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Bruin2021_Article_PressureFunctionAndLimitTheore
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Cite this

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title = "Pressure function and limit theorems for almost Anosov flows",

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.",

author = "Henk Bruin and Dalia Terhesiu and Todd, {Michael John}",

note = "Funding: HB gratefully acknowledges the support of FWF grant P31950-N45. DT was partially supported by EPSRC grant EP/S019286/1.",

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AU - Bruin, Henk

AU - Terhesiu, Dalia

AU - Todd, Michael John

N1 - Funding: HB gratefully acknowledges the support of FWF grant P31950-N45. DT was partially supported by EPSRC grant EP/S019286/1.

PY - 2021/2

Y1 - 2021/2

N2 - 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.

AB - 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.

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DO - 10.1007/s00220-021-03962-x

M3 - Article

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VL - 382

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EP - 47

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

IS - 1

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Pressure function and limit theorems for almost Anosov flows

Abstract

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