Stable ergodicity and julienne quasi-conformality

Pugh, Charles, and Shub, Michael. "Stable ergodicity and julienne quasi-conformality." Journal of the European Mathematical Society 002.1 (2000): 1-52. <http://eudml.org/doc/277575>.

@article{Pugh2000,
abstract = {In this paper we dramatically expand the domain of known stably ergodic, partially hyperbolic dynamical systems. For example, all partially hyperbolic affine diffeomorphisms of compact homogeneous spaces which have the accessibility property are stably ergodic. Our main tools are the new concepts – julienne density point and julienne quasi-conformality of the stable and unstable holonomy maps. Julienne quasi-conformal holonomy maps preserve all julienne density points.},
author = {Pugh, Charles, Shub, Michael},
journal = {Journal of the European Mathematical Society},
keywords = {stably ergodic partially hyperbolic dynamical systems; partially hyperbolic affine diffeomorphism; accessibility property; julienne density point; quasi-conformality; stable and unstable foliations; density point; homogeneous space; ergodicity},
language = {eng},
number = {1},
pages = {1-52},
publisher = {European Mathematical Society Publishing House},
title = {Stable ergodicity and julienne quasi-conformality},
url = {http://eudml.org/doc/277575},
volume = {002},
year = {2000},
}

TY - JOUR
AU - Pugh, Charles
AU - Shub, Michael
TI - Stable ergodicity and julienne quasi-conformality
JO - Journal of the European Mathematical Society
PY - 2000
PB - European Mathematical Society Publishing House
VL - 002
IS - 1
SP - 1
EP - 52
AB - In this paper we dramatically expand the domain of known stably ergodic, partially hyperbolic dynamical systems. For example, all partially hyperbolic affine diffeomorphisms of compact homogeneous spaces which have the accessibility property are stably ergodic. Our main tools are the new concepts – julienne density point and julienne quasi-conformality of the stable and unstable holonomy maps. Julienne quasi-conformal holonomy maps preserve all julienne density points.
LA - eng
KW - stably ergodic partially hyperbolic dynamical systems; partially hyperbolic affine diffeomorphism; accessibility property; julienne density point; quasi-conformality; stable and unstable foliations; density point; homogeneous space; ergodicity
UR - http://eudml.org/doc/277575
ER -