Analyticity of the susceptibility function for unimodal Markovian maps of the interval

DOI10.1088/0951-7715/18/6/002zbMath1089.37020arXivmath/0501161OpenAlexW3103415748MaRDI QIDQ5719180

Yunping Jiang, David Pierre Ruelle

Publication date: 17 January 2006

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0501161

zbMATH Keywords

invariant measureSRB measureanalytic mapMarkov-type map

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Dynamical systems involving maps of the interval (37E05) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (10)

Geometric Gibbs theory ⋮ On the susceptibility function of piecewise expanding interval maps ⋮ Pre-threshold fractional susceptibility functions at Misiurewicz parameters ⋮ 𝑊-Markov measures, transfer operators, wavelets and multiresolutions ⋮ Structure and \(f\)-dependence of the a.c.i.m. for a unimodal map \(f\) of Misiurewicz type ⋮ Fractional susceptibility functions for the quadratic family: Misiurewicz-Thurston parameters ⋮ Noncommutative Boundaries Arising in Dynamics and Representations of the Cuntz Relations ⋮ Linear response in neuronal networks: From neurons dynamics to collective response ⋮ Dynamical properties of endomorphisms, multiresolutions, similarity and orthogonality relations ⋮ On the fractional susceptibility function of piecewise expanding maps

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