35 research outputs found
Spectra of expanding maps on Besov spaces
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.Comment: 19 pages. Updated introduction and main theorem, added references and
added Appendix A. Accepted for publication in DCDS-