Statistical stability of interval maps with critical points and singularities

JF Alves, D Gama, S Luzzatto - arXiv preprint arXiv:2302.09890, 2023 - arxiv.org
We prove strong statistical stability of a large class of one-dimensional maps which may
have an arbitrary finite number of discontinuities and of non-degenerate critical points and/or …

Linear response due to singularities

W Bahsoun, S Galatolo - Nonlinearity, 2024 - iopscience.iop.org
It is well known that a family of tent-like maps with bounded derivatives has no linear
response for typical deterministic perturbations changing the value of the turning point. In …

Cramér distance and discretizations of circle expanding maps II: simulations

PA Guihéneuf, M Monge - Dynamical Systems, 2024 - Taylor & Francis
This paper presents some numerical experiments in relation with the theoretical study of the
ergodic short-term behaviour of discretizations of expanding maps done in P.-A. Guihéneuf …

Cramér distance and discretisations of circle expanding maps I: theory

PA Guihéneuf, M Monge - Nonlinearity, 2023 - iopscience.iop.org
This paper is aimed to study the ergodic short-term behaviour of discretisations of circle
expanding maps. More precisely, we prove some asymptotics of the distance between the …

Quantitative Statistical Stability for the Equilibrium States of Piecewise Partially Hyperbolic Maps

R Bilbao, R Bioni, R Lucena - arXiv preprint arXiv:2008.05679, 2020 - arxiv.org
We consider a class of endomorphisms that contains a set of piecewise partially hyperbolic
dynamics semi-conjugated to non-uniformly expanding maps. Our goal is to study a class of …