Discontinuous observables as an obstruction for small essential spectral radius
Dynamical Systems
2025-06-10 v1
Abstract
We show that for a very wide class of Banach spaces of functions on [0,1] there are intrinsic lower bounds for the essential spectral radius of the transfer operator associated to piecewise smooth expanding maps. The class of Banach spaces studied includes any reasonable space which permits discontinuities.
Cite
@article{arxiv.2506.07613,
title = {Discontinuous observables as an obstruction for small essential spectral radius},
author = {Oliver Butterley and Daniel Smania},
journal= {arXiv preprint arXiv:2506.07613},
year = {2025}
}
Comments
17 pages