Ledrappier's system is almost mixing of all orders

L. Arenas-Carmona; D. Berend; V. Bergelson

doi:10.1017/S0143385707000727

Ledrappier's system is almost mixing of all orders

L. Arenas-Carmona, D. Berend, V. Bergelson

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

We consider Ledrappier's dynamical system, which was the first example of a ℤ²-action which is 2-mixing but not 3-mixing. Our main result is that, excluding certain small constructible sets, the system is mixing of every order.

Original language	English
Pages (from-to)	339-365
Number of pages	27
Journal	Ergodic Theory and Dynamical Systems
Volume	28
Issue number	2
DOIs	https://doi.org/10.1017/S0143385707000727
State	Published - 1 Apr 2008

ASJC Scopus subject areas

Mathematics (all)
Applied Mathematics

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title = "Ledrappier's system is almost mixing of all orders",

abstract = "We consider Ledrappier's dynamical system, which was the first example of a ℤ2-action which is 2-mixing but not 3-mixing. Our main result is that, excluding certain small constructible sets, the system is mixing of every order.",

author = "L. Arenas-Carmona and D. Berend and V. Bergelson",

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AU - Arenas-Carmona, L.

AU - Berend, D.

AU - Bergelson, V.

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N2 - We consider Ledrappier's dynamical system, which was the first example of a ℤ2-action which is 2-mixing but not 3-mixing. Our main result is that, excluding certain small constructible sets, the system is mixing of every order.

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M3 - Article

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Ledrappier's system is almost mixing of all orders

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