Pre-threshold fractional susceptibility functions at Misiurewicz parameters
Dynamical Systems
2021-10-27 v2
Abstract
We show that the response, frozen and semifreddo fractional susceptibility functions of certain real-analytic unimodal families, at Misiurewicz parameters and for fractional differentiation index , are holomorphic on a disk of radius greater than one. This is a step towards solving a conjecture of Baladi and Smania, in the case of the aforementioned susceptibility functions.
Cite
@article{arxiv.2011.13648,
title = {Pre-threshold fractional susceptibility functions at Misiurewicz parameters},
author = {Julien Sedro},
journal= {arXiv preprint arXiv:2011.13648},
year = {2021}
}
Comments
11 pages. Electronic copy of final peer-reviewed manuscript accepted for publication in Nonlinearity