Lower bounds for the Ruelle spectrum of analytic expanding circle maps
Dynamical Systems
2016-05-23 v1
Abstract
We prove that there exists a dense set of analytic expanding maps of the circle for which the Ruelle eigenvalues enjoy exponential lower bounds. The proof combines potential theoretic techniques and explicit calculations for the spectrum of expanding Blaschke products.
Keywords
Cite
@article{arxiv.1605.06247,
title = {Lower bounds for the Ruelle spectrum of analytic expanding circle maps},
author = {Oscar Bandtlow and Frederic Naud},
journal= {arXiv preprint arXiv:1605.06247},
year = {2016}
}
Comments
21 pages, 1 figure