Local limit theorem in deterministic systems-Reference-Cited by-同舟云学术

Local limit theorem in deterministic systems

Published:2022-02-01 Issue:1 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:

Kosloff Zemer¹,Volny Dalibor²

Affiliation:

1. Einstein Institute of Mathematics, Hebrew University of Jerusalem, Edmond J. Safra Campus, Jerusalem 91904, Israel

2. Laboratoire de Mathématiques Raphael Salem, UMR 6085, Université de Rouen Normandie, Avenue de l’Université, BP.1276801 Saint-Étienne-du-Rouvray, France

Publisher

Institute of Mathematical Statistics

Subject

Statistics, Probability and Uncertainty,Statistics and Probability

Reference22 articles.

1. J. Aaronson and M. Denker. Local limit theorems for partial sums of stationary sequences generated by Gibbs-Markov maps. Stoch. Dyn. 1 (2) (2001) 193–237.

2. J. Aaronson, M. Denker, O. Sarig and R. Zweimüller. Aperiodicity of cocycles and conditional local limit theorems. Stoch. Dyn. 4 (1) (2004) 31–62.

3. J. Aaronson and B. Weiss. Distributional limits of positive, ergodic stationary processes and infinite ergodic transformations. Ann. Inst. Henri Poincaré Probab. Stat. 54 (2) (2018) 879–906.

4. R. Burton and M. Denker. On the central limit theorem for dynamical systems. Trans. Amer. Math. Soc. 302 (2) (1987) 715–726.

5. J. T. Campbell, R. McCutcheon and A. Windsor. Independence and Alpern multitowers Dynamical Systems. To appear (2018).

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