Measure of full dimension for some nonconformal repellers
Dynamical Systems
2007-05-25 v1
Abstract
We prove the existence of an ergodic measure with full Hausdorff dimension for a class of nonlinear nonconformal skew-product transformations. In order to do so we establish a variational principle for the topological pressure of certain noncompact sets.
Keywords
Cite
@article{arxiv.0705.3604,
title = {Measure of full dimension for some nonconformal repellers},
author = {Nuno Luzia},
journal= {arXiv preprint arXiv:0705.3604},
year = {2007}
}
Comments
11 pages