Free Energy and Equilibrium States for Families of Interval Maps (Q6158453)

scientific article; zbMATH DE number 7690519

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English	Free Energy and Equilibrium States for Families of Interval Maps	scientific article; zbMATH DE number 7690519

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instance of

scholarly article

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title

Free Energy and Equilibrium States for Families of Interval Maps (English)

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31 May 2023

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full work available at URL

https://arxiv.org/abs/1512.09245

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http://hdl.handle.net/10023/19665

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zbMATH Keywords

thermodynamical properties

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one-dimensional dynamical systems

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equilibrium states

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New examples of $S$-unimodal maps with a sigma-finite absolutely continuous invariant measure

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Q4492673

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Strong statistical stability of non-uniformly expanding maps

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Statistical stability for Hénon maps of the Benedicks-Carleson type

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Statistical stability of geometric Lorenz attractors

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Statistical stability for robust classes of maps with non-uniform expansion

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Semicontinuity of entropy, existence of equilibrium states and continuity of physical measures

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Hausdorff dimension and conformal measures of Feigenbaum Julia sets

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On the susceptibility function of piecewise expanding interval maps

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Linear response despite critical points

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Whitney-Hölder continuity of the SRB measure for transversal families of smooth unimodal maps

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Linear response formula for piecewise expanding unimodal maps

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Analyticity of the SRB measure for holomorphic families of quadratic-like Collet-Eckmann maps

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On iterations of $1-\alpha x^2$ on $(-1,1)$

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Absolutely continuous invariant measures for maps with flat tops

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Ergodicity of transitive unimodal transformations of a segment

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Equilibrium states and the ergodic theory of Anosov diffeomorphisms

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Induced maps, Markov extensions and invariant measures in one-dimensional dynamics

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Equilibrium states for S-unimodal maps

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Wild Cantor attractors exist

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Equilibrium states for interval maps: potentials with $\sup\varphi- \inf\varphi<h_{\mathrm{top}}(f)$

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Equilibrium states for interval maps: the potential $-t\log |Df|$

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Wild attractors and thermodynamic formalism

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Absolutely continuous invariant probability measures for arbitrary expanding piecewise $\mathbb{R}$-analytic mappings of the plane

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Positive Liapunov exponents and absolute continuity for maps of the interval

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Q4743279

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Regularity of topological and metric entropy of hyperbolic flows

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Low-temperature phase transitions in the quadratic family

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Asymptotic escape rates and limiting distributions for multimodal maps

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Renormalisation-induced phase transitions for unimodal maps

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On cusps and flat tops

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Diabolical entropy

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Singular limits of absolutely continuous invariant measures for families of transitive maps

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Continuity of SRB measure and entropy for Benedicks–Carleson quadratic maps

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The statistical stability of equilibrium states for interval maps

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On the Lyapunov spectrum for rational maps

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Generic hyperbolicity in the logistic family

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On intrinsic ergodicity of piecewise monotonic transformations with positive entropy

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On intrinsic ergodicity of piecewise monotonic transformations with positive entropy. II

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Piecewise invertible dynamical systems

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Q3979039

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Quadratic maps without asymptotic measure

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The Hausdorff Dimension of an Ergodic Invariant Measure for a Piecewise Monotonic Map of the Interval

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Intermittency and Jakobson's theorem near saddle-node bifurcations

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Natural equilibrium states for multimodal maps

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Dimension theory for multimodal maps

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Absolutely continuous invariant measures for one-parameter families of one-dimensional maps

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Singular measures without restrictive intervals

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Differentiability and analyticity of topological entropy for Anosov and geodesic flows

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Q5526485

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Stochastic stability in some chaotic dynamical systems

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Lifting measures to Markov extensions

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Q4376270

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Getting rid of the negative Schwarzian derivative condition

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Some properties of absolutely continuous invariant measures on an interval

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Family of piecewise expanding maps having singular measure as a limit of ACIMs

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Dynamics of quadratic polynomials. I, II

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Q4429924

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Almost sure invariance principle for nonuniformly hyperbolic systems

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Q4271974

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Structure of mappings of an interval with zero entropy

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Possible jumps of entropy for interval maps

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Entropy of piecewise continuous interval maps

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Equilibrium measures for maps with inducing schemes

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Expanding measures

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Lyapunov Characteristic Exponents are Nonnegative

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Nice inducing schemes and the thermodynamics of rational maps

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Geometric pressure for multimodal maps of the interval

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Equality of pressures for rational functions

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Q3563981

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Stability of the maximal measure for piecewise monotonic interval maps

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The singularity spectrum<i>f</i>(α) for cookie-cutters

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Asymptotic expansion of smooth interval maps

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A Measure Associated with Axiom-A Attractors

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Repellers for real analytic maps

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Differentiation of SRB states

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A review of linear response theory for general differentiable dynamical systems

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Structure and $f$-dependence of the a.c.i.m. for a unimodal map $f$ of Misiurewicz type

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Regularity and other properties of absolutely continuous invariant measures for the quadratic family

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GIBBS MEASURES IN ERGODIC THEORY

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Q4264389

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Unfolding of chaotic unimodal maps and the parameter dependence of natural measures

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Positive Lyapunov exponents in families of one dimensional dynamical systems

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On continuity of Bowen-Ruelle-Sinai measures in families of one dimensional maps

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Existence, uniqueness and stability of equilibrium states for non-uniformly expanding maps

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Statistical stability for diffeomorphisms with dominated splitting

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Recurrence times and rates of mixing

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Invariant measures for general(ized) induced transformations

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published in

Memoirs of the American Mathematical Society

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Identifiers

zbMATH Open document ID

1521.37001

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arXiv ID

1512.09245

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6158453