Pressure function and limit theorems for almost Anosov flows
| Autor: | Mike Todd, Henk Bruin, Dalia Terhesiu |
|---|---|
| Přispěvatelé: | University of St Andrews. Pure Mathematics |
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Pure mathematics
Class (set theory) T-NDAS Complex system Dynamical Systems (math.DS) 01 natural sciences Computer Science::Digital Libraries Physics::Fluid Dynamics 37C10 37D20 37D25 37D35 60F05 0103 physical sciences FOS: Mathematics Limit (mathematics) QA Mathematics Mathematics - Dynamical Systems 0101 mathematics Link (knot theory) QA Mathematical Physics QC Mathematics Central limit theorem 010102 general mathematics Statistical and Nonlinear Physics QC Physics 010307 mathematical physics Pressure function |
| Popis: | We obtain limit theorems (Stable Laws and Central Limit Theorems, both Gaussian and non-Gaussian) and thermodynamic properties for a class of non-uniformly hyperbolic flows: almost Anosov flows, constructed here. The proofs of the limit theorems for these flows are applications of corresponding theorems in an abstract functional analytic framework, which may be applicable to other classes of non-uniformly hyperbolic flows. Comment: Version accepted for publication in Communications in Mathematical Physics |
| Databáze: | OpenAIRE |
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