Spectra of expanding maps on Besov spaces
Dynamical Systems
2022-03-30 v2
Abstract
A typical approach to analysing statistical properties of expanding maps is to show spectral gaps of associated transfer operators in adapted function spaces. The classical function spaces for this purpose are H\"older spaces and Sobolev spaces. Natural generalisations of these spaces are Besov spaces, on which we show a spectral gap of transfer operators.
Cite
@article{arxiv.1710.09673,
title = {Spectra of expanding maps on Besov spaces},
author = {Yushi Nakano and Shota Sakamoto},
journal= {arXiv preprint arXiv:1710.09673},
year = {2022}
}
Comments
19 pages. Updated introduction and main theorem, added references and added Appendix A. Accepted for publication in DCDS-A