@article{d2d7849cf79044c3a58fd65f550b4fb8,
title = "H{\"o}lder continuity of measures for heavy tail potentials",
abstract = "For a class of potentials ψ satisfying a condition depending on the roof function of a suspension (semi)flow, we show an EKP inequality, which can be interpreted as a H{\"o}lder continuity property in the weak∗ norm of measures, with respect to the pressure of those measures, where the H{\"o}lder exponent depends on the Lq-space to which ψ belongs. This also captures a new type of phase transition for intermittent (semi)flows (and maps).",
keywords = "EKP-inequality, Gibbs-Markov maps, Suspension flows",
author = "Godofredo Iommi and Dalia Terhesiu and Mike Todd",
note = "Funding: GI was partially supported by Proyecto Fondecyt 1230100. DT would like to thank Henk Bruin for discussions on related topics during the Research-in-Teams project 0223 “Limit Theorems for Parabolic Dynamical Systems” at the Erwin Schr{\"o}dinger Institute, Vienna. MT would like to thank Pontificia Universidad Cat{\'o}lica de Chile where part of this research was done, supported by Proyecto Fondecyt 1230100, and thanks the University of Leiden for hosting a visit where part of this research was done. He is also partially supported by the FCT (Funda{\c c}{\~a}o para a Ci{\^e}ncia e a Tecnologia) project 2022.07167.PTDC.",
year = "2025",
month = jan,
day = "22",
doi = "10.1017/etds.2024.139",
language = "English",
volume = "First View",
journal = "Ergodic Theory and Dynamical Systems",
issn = "0143-3857",
publisher = "Cambridge University Press",
}