Natural boundary for the susceptibility function of generic piecewise expanding unimodal maps

DOI10.1017/etds.2012.161zbMath1350.37042arXiv1205.5226OpenAlexW2132469025MaRDI QIDQ5166511

Stefano Marmi, David Sauzin, Viviane Baladi

Publication date: 27 June 2014

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.5226

zbMATH Keywords

natural boundariesunimodal interval mapBreuer-Simon method

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Dynamical systems involving maps of the interval (37E05) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Related Items (7)

Linear response for intermittent maps ⋮ Generalised continuation by means of right limits ⋮ Whitney-Hölder continuity of the SRB measure for transversal families of smooth unimodal maps ⋮ Fractional susceptibility functions for the quadratic family: Misiurewicz-Thurston parameters ⋮ On the fractional susceptibility function of piecewise expanding maps ⋮ From the Taylor series of analytic functions to their global analysis ⋮ Law of iterated logarithm and invariance principle for one-parameter families of interval maps

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