Absolutely singular dynamical foliations
动力系统
2009-10-31 v1
摘要
We show that for the C^1-open set of partially hyperbolic diffeomorphisms constructed in (M. Shub and A. Wilkinson, "Pathological foliations and removable zero exponents," Invent. math. 139 (2000) 3, 495-508), Lebesgue measure on the 3-torus decomposes as atomic measure along the leaves of the central foliation.
引用
@article{arxiv.math/0002145,
title = {Absolutely singular dynamical foliations},
author = {David Ruelle and Amie Wilkinson},
journal= {arXiv preprint arXiv:math/0002145},
year = {2009}
}
备注
9 pages. See also http://www.math.nwu.edu/~wilkinso