Dimension theoretical properties of generalized Baker's transformations
Dynamical Systems
2018-07-25 v1
Abstract
We show that for generalized Baker's transformations there is a parameter domain where we have an absolutely continuous ergodic measure and in direct neighborhood there is a parameter domain where not even the variational principle for Hausdorff dimension holds.
Cite
@article{arxiv.1807.04853,
title = {Dimension theoretical properties of generalized Baker's transformations},
author = {Jörg Neunhäuserer},
journal= {arXiv preprint arXiv:1807.04853},
year = {2018}
}