Mixing in infinite measure for Zd-extensions, application to the periodic Sinai billiard

Françoise Pène

Chaos, Solitons & Fractals, 2018, vol. 106, issue C, 44-48

Abstract: We study the mixing of observables of Zd-extensions of probability preserving dynamical systems. We explain how this question is directly linked to the local limit theorem and establish a scaling rate for dynamically continuous observables of the Z2-periodic Sinai billiard. We compare our approach with the induction method.

Keywords: Mixing; Infinite measure; Local limit theorem; Sinai billiard; Finite horizon (search for similar items in EconPapers)
Date: 2018
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077917304551
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:106:y:2018:i:c:p:44-48

DOI: 10.1016/j.chaos.2017.10.039

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().