Parameter regularity of dynamical determinants of expanding maps of the circle and an application to linear response
Dynamical Systems
2022-04-15 v1
Abstract
In order to adapt to the differentiable setting a formula for linear response proved by Pollicott and Vytnova in the analytic setting, we show a result of regularity of dynamical determinants of expanding maps of the circle. The main tool is the decomposition of a transfer operator as a sum of a nuclear part and a "small" bounded part.
Keywords
Cite
@article{arxiv.1708.01055,
title = {Parameter regularity of dynamical determinants of expanding maps of the circle and an application to linear response},
author = {Malo Jézéquel},
journal= {arXiv preprint arXiv:1708.01055},
year = {2022}
}