Stable ergodicity and julienne quasi-conformality
type: Item
instance of: scholarly article
title: Stable ergodicity and julienne quasi-conformality
zbMATH Open document ID: 0964.37017
author: Michael Shub
author: Charles Pugh
published in: Journal of the European Mathematical Society (JEMS)
publication date: 2000-06-04T00:00:00Z
review text: This paper is devoted to the improvement in our understanding of the properties of the (un)stable manifold foliations. To this end the authors introduce new concepts -- julienne density and julienne quasi-conformality. They prove, based on center bunching conditions, that the holonomy maps of strong (un)stable foliations are julienne quasi-conformal and hence preserve all julienne density points. As a consequence they markedly expand the class of known stably ergodic diffeomorphisms. In particular, they show that all affine diffeomorphisms of compact homogeneous spaces with the accessibility property are stably ergodic.
Mathematics Subject Classification ID: 37D10
Mathematics Subject Classification ID: 37A25
Mathematics Subject Classification ID: 37A30
zbMATH DE Number: 1454679
zbMATH Keywords: stable and unstable foliations
zbMATH Keywords: density point
zbMATH Keywords: homogeneous space
zbMATH Keywords: ergodicity
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
full work available at URL: s100970050013
OpenAlex ID: W1972136709
DOI: 10.1007/S100970050013
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description: scientific article; zbMATH DE number 1454679