A natural extension for the greedy beta-transformation with three deleted digits
Dynamical Systems
2008-02-26 v1
Abstract
We give an explicit expression for the invariant measure, absolutely continuous with respect to the Lebesgue measure, of the greedy beta-transformation with three deleted digits. We define a version of the natural extension of the transformation to obtain this expression. We get that the transformation is exact and weakly Bernoulli.
Keywords
Cite
@article{arxiv.0802.3571,
title = {A natural extension for the greedy beta-transformation with three deleted digits},
author = {Karma Dajani and Charlene Kalle},
journal= {arXiv preprint arXiv:0802.3571},
year = {2008}
}
Comments
21 pages