CENTRAL LIMIT THEOREM FOR THE MODULUS OF CONTINUITY OF AVERAGES OF OBSERVABLES ON TRANSVERSAL FAMILIES OF PIECEWISE EXPANDING UNIMODAL MAPS

DOI10.1017/S1474748016000177zbMath1387.37025arXiv1503.01423MaRDI QIDQ4640033

A. F. de Lima, Daniel Smania

Publication date: 15 May 2018

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.01423

zbMATH Keywords

central limit theoremergodic theoryunimodal maplinear responseexpanding map

Mathematics Subject Classification ID

Related Items (10)

On spurious detection of linear response and misuse of the fluctuation-dissipation theorem in finite time series ⋮ Rigorous computation of linear response for intermittent maps ⋮ On the smooth dependence of SRB measures for partially hyperbolic systems ⋮ Central limit theorem for generalized Weierstrass functions ⋮ Pre-threshold fractional susceptibility functions at Misiurewicz parameters ⋮ On the validity of linear response theory in high-dimensional deterministic dynamical systems ⋮ Linear response for macroscopic observables in high-dimensional systems ⋮ Fractional susceptibility functions for the quadratic family: Misiurewicz-Thurston parameters ⋮ Edgeworth expansions for slow–fast systems with finite time-scale separation ⋮ On the fractional susceptibility function of piecewise expanding maps

Cites Work

• Unnamed Item
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• Typical points for one-parameter families of piecewise expanding maps of the interval
• On the susceptibility function of piecewise expanding interval maps
• Smooth deformations of piecewise expanding unimodal maps
• Stochastic stability in some chaotic dynamical systems
• Differentiation of SRB states
• Law of iterated logarithm and invariance principle for one-parameter families of interval maps
• Corrigendum: Linear response formula for piecewise expanding unimodal maps
• Continuity properties of transport coefficients in simple maps
• Generalized bounded variation and applications to piecewise monotonic transformations
• On the Existence of Invariant Measures for Piecewise Monotonic Transformations
• Almost sure invariance principles for partial sums of weakly dependent random variables
• Nonequilibrium statistical mechanics near equilibrium: computing higher-order terms
• A simple proof for monotonicity of entropy in the quadratic family
• Alternative proofs of linear response for piecewise expanding unimodal maps
• CENTRAL LIMIT THEOREM FOR DIMENSION OF GIBBS MEASURES IN HYPERBOLIC DYNAMICS
• Linear response formula for piecewise expanding unimodal maps

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