Pressure Function and Limit Theorems for Almost Anosov Flows-Reference-Cited by-同舟云学术

Pressure Function and Limit Theorems for Almost Anosov Flows

Published:2021-02 Issue:1 Volume:382 Page:1-47
ISSN:0010-3616
Container-title:Communications in Mathematical Physics
language:en
Short-container-title:Commun. Math. Phys.

Author:

Bruin Henk^ORCID,Terhesiu Dalia,Todd Mike^ORCID

Abstract

AbstractWe 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.

Funder

FWF

Engineering and Physical Sciences Research Council

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

http://link.springer.com/content/pdf/10.1007/s00220-021-03962-x.pdf

Reference34 articles.

1. Aaronson, J., Denker, M.: Local limit theorems for partial sums of stationary sequences generated by Gibbs–Markov maps. Stoch. Dyn. 1, 193–237 (2001)

2. Aaronson, J., Denker, M.: A local limit theorem for stationary processes in the domain of attraction of a normal distribution. In: Balakrishnan, N., Ibragimov, I.A., Nevzorov, V.B. (eds.) Asymptotic Methods in Probability and Statistics with Applications. International Conference, St. Petersburg, Russia, 1998, pp. 215–224. Birkhäuser, Basel (2001)

3. Abramov, L.M.: The entropy of a derived automorphism. Dokl. Akad. Nauk SSSR 128, 647–650 (1959)

4. Abramov, L.M.: On the entropy of a flow. Dokl. Akad. Nauk SSSR 128, 873–875 (1959)

5. Ambrose, W., Kakutani, S.: Structure and continuity of measurable flows. Duke Math. J. 9, 25–42 (1942)

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Mixing Rates of the Geometrical Neutral Lorenz Model;Journal of Statistical Physics;2023-12-08

2. Periodic Lorentz gas with small scatterers;Probability Theory and Related Fields;2023-03-15

3. On volume preserving almost Anosov flows;Monatshefte für Mathematik;2022-12-20

4. On Sinaĭ Billiards on Flat Surfaces with Horns;Journal of Statistical Physics;2021-04-20