Asymptotic expansion of correlation functions for Zd covers of hyperbolic flows-Reference-Cited by-同舟云学术

Asymptotic expansion of correlation functions for Zd covers of hyperbolic flows

Published:2022-05-01 Issue:2 Volume:58 Page:
ISSN:0246-0203
Container-title:Annales de l'Institut Henri Poincaré, Probabilités et Statistiques
language:
Short-container-title:Ann. Inst. H. Poincaré Probab. Statist.

Author:

Dolgopyat Dmitry¹,Nándori Péter²,Pène Françoise³

Affiliation:

1. Department of Mathematics, University of Maryland, College Park, MD 20741, USA

2. Department of Mathematical Sciences, Yeshiva University, New York, NY, 10016, USA

3. Univ Brest, Université de Brest, Institut Universitaire de France, IUF, UMR CNRS 6205, Laboratoire de Mathématiques de Bretagne Atlantique, LMBA, France

Publisher

Institute of Mathematical Statistics

Subject

Statistics, Probability and Uncertainty,Statistics and Probability

Reference47 articles.

1. D. Dolgopyat. Prevalence of rapid mixing in hyperbolic flows. Ergodic Theory Dynam. Systems 18 (1998) 1097–1114.

2. R. Zweimüller. Mixing limit theorems for ergodic transformations. J. Theoret. Probab. 20 (2007) 1059–1071.

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

4. J. Aaronson and H. Nakada. On multiple recurrence and other properties of ‘nice’ infinite measure-preserving transformations. Ergodic Theory Dynam. Systems 37 (2017) 1345–1368.

5. T. M. Apostol. An elementary view of Euler’s Summation formula. Amer. Math. Monthly 106 (1999) 409–418.

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