How typical are pathological foliations in partially hyperbolic dynamics: an example
Dynamical Systems
2010-06-25 v2
Abstract
We show that for a large space of volume preserving partially hyperbolic diffeomorphisms of the 3-torus with non-compact central leaves the central foliation generically is non-absolutely continuous.
Cite
@article{arxiv.0907.3533,
title = {How typical are pathological foliations in partially hyperbolic dynamics: an example},
author = {Andrey Gogolev},
journal= {arXiv preprint arXiv:0907.3533},
year = {2010}
}
Comments
10 pages, 2 figures; minor additions and corrections in the second version