Pressure function and limit theorems for almost Anosov flows
Date
02/2021Metadata
Show full item recordAbstract
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.
Citation
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
Publication
Communications in Mathematical Physics
Status
Peer reviewed
ISSN
0010-3616Type
Journal article
Rights
Copyright © The Author(s) 2021. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Description
Funding: HB gratefully acknowledges the support of FWF grant P31950-N45. DT was partially supported by EPSRC grant EP/S019286/1.Collections
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