Illinois Journal of Mathematics

Ergodic components of an extension by a nilmanifold

A. Leibman

Source: Illinois J. Math. Volume 52, Number 3 (2008), 957-965.

Abstract

We prove that all ergodic components of an extension of an ergodic system by translations on a nilmanifold X are isomorphic to extensions of this system by translations on subnilmanifolds of X.

Primary Subjects: 22F10, 22D40

Full-text: Open access

Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.ijm/1254403724
Zentralblatt MATH identifier: 05615678


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