Beyond Bowen’s Specification Property (Q5016434)

scientific article; zbMATH DE number 7444063

Language	Label	Description	Also known as
English	Beyond Bowen’s Specification Property	scientific article; zbMATH DE number 7444063

Statements

instance of

scholarly article

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title

Beyond Bowen’s Specification Property (English)

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Lecture Notes in Mathematics

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publication date

13 December 2021

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full work available at URL

https://arxiv.org/abs/2009.09256

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zbMATH Keywords

thermodynamic formalism

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uniformly hyperbolic systems

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Hölder continuous potential

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unique equilibrium state

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MaRDI profile type

MaRDI publication profile

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Equilibrium states and the ergodic theory of Anosov diffeomorphisms

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Nonpositively curved manifolds of higher rank

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On topological Tits buildings and their classification

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The uniqueness of the measure of maximal entropy for geodesic flows on rank 1 manifolds

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Expansive one-parameter flows

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Periodic Orbits for Hyperbolic Flows

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Flows with Unique Equilibrium States

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On the Patterson-Sullivan measure for geodesic flows on rank 1 manifolds without focal points

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Maps of intervals with indifferent fixed points: thermodynamic formalism and phase transitions

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Q4344959

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Phase transitions for countable Markov shifts

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Strong symbolic dynamics for geodesic flows on $\operatorname{CAT}(-1)$ spaces and other metric Anosov flows

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Equidistribution and Counting Under Equilibrium States in Negative Curvature and Trees

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The unique measure of maximal entropy for a compact rank one locally CAT(0) space

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On the mixing property for hyperbolic systems

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Ergodic properties of equilibrium measures for smooth three dimensional flows

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Geodesic flows are Bernoullian

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On the Bernoulli nature of systems with some hyperbolic structure

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Q4131336

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Q4154810

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Open problems and questions about geodesics

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Q4856153

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Q4524268

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What are SRB measures, and which dynamical systems have them?

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Dynamics beyond uniform hyperbolicity. A global geometric and probabilistic perspective

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Ergodic theory on compact spaces

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Q3931654

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Q3993280

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Foundations of Ergodic Theory

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Topological features of flows with the reparametrized gluing orbit property

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Zero-entropy dynamical systems with the gluing orbit property

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ENTROPY, A COMPLETE METRIC INVARIANT FOR AUTOMORPHISMS OF THE TORUS

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Representations for real numbers and their ergodic properties

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On theβ-expansions of real numbers

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$\beta$-expansions and symbolic dynamics

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$\beta$-shifts have unique maximal measure

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Maximal entropy measures for certain partially hyperbolic, derived from Anosov systems

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Lyapunov exponents, entropy and periodic orbits for diffeomorphisms

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Entropy-Expansive Maps

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SRB measures for partially hyperbolic systems whose central direction is mostly contracting

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Partial hyperbolicity and specification

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Equilibrium states for partially hyperbolic diffeomorphisms with hyperbolic linear part

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Maximizing measures for partially hyperbolic systems with compact center leaves

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Q4795569

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On the Variety of Manifolds without Conjugate Points

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Pressures for geodesic flows of rank one manifolds

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Q4848742

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Intrinsic ergodicity beyond specification: ${\beta}$-shifts, $S$-gap shifts, and their factors

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Some systems with unique equilibrium states

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Specification and towers in shift spaces

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S-limited shifts

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One-sided almost specification and intrinsic ergodicity

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Unique equilibrium states for some intermediate beta transformations

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Unique equilibrium states for Bonatti–Viana diffeomorphisms

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Equilibrium states for Mañé diffeomorphisms

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Unique equilibrium states, large deviations and Lyapunov spectra for the Katok map

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Equilibrium states for certain partially hyperbolic attractors

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Properties of equilibrium states for geodesic flows over manifolds without focal points

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Uniqueness of the measure of maximal entropy for geodesic flows on certain manifolds without conjugate points

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The weak specification property for geodesic flows on $\mathrm{CAT}(-1)$ spaces

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Denseness of intermediate pressures for systems with the Climenhaga-Thompson structures

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On the variational principle for the topological entropy of certain non-compact sets

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Large deviations estimates for dynamical systems without the specification property. Application to the β-shifts

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Ergodic universality of some topological dynamical systems

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Multifractal analysis for weak Gibbs measures: from large deviations to irregular sets

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On the weaker forms of the specification property and their applications

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Unique equilibrium states for flows and homeomorphisms with non-uniform structure

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Unique equilibrium states for geodesic flows in nonpositive curvature

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Periodic Points and Measures for Axiom a Diffeomorphisms

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Intrinsic ergodicity for factors of $(-\beta)$ -shifts

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Equilibrium states beyond specification and the Bowen property

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Positive entropy equilibrium states

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Large deviations for systems with non-uniform structure

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On intrinsic ergodicity and weakenings of the specification property

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On controlled specification and uniqueness of the equilibrium state in expansive systems

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Some Large Deviation Results for Dynamical Systems

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On the topological entropy of saturated sets

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Non-uniform specification and large deviations for weak Gibbs measures

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A panorama of specification-like properties and their consequences

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Equilibrium states in negative curvature

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Building thermodynamics for non-uniformly hyperbolic maps

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Equilibrium states in dynamical systems via geometric measure theory

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Manifolds of nonpositive curvature and their buildings

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Hölder regularity of horocycle foliations.

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Axial isometries of manifolds of non-positive curvature

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On surfaces with no conjugate points

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Ergodicité et équidistribution en courbure négative

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Nonuniformly hyperbolic K-systems are Bernoulli

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An Introduction to the Kolmogorov–Bernoulli Equivalence

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Q4509266

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Fluctuations of Observables in Dynamical Systems: From Limit Theorems to Concentration Inequalities

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Intrinsic Markov Chains

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Subshifts of finite type and sofic systems

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Maximizing entropy for a hyperbolic flow

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Symbolic dynamics for $\beta$-shifts and self-normal numbers

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Equilibrium states for $\beta$-transformations and related transformations

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Q3545300

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Intrinsic ergodicity via obstruction entropies

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Entropic stability beyond partial hyperbolicity

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Contributions to the stability conjecture

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Intrinsic ergodicity of partially hyperbolic diffeomorphisms with a hyperbolic linear part

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SRB measures as zero-noise limits

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A sufficient condition for robustly minimal foliations

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SRB measures for non-hyperbolic systems with multidimensional expansion

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SRB measures for partially hyperbolic systems whose central direction is mostly expanding

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A non-dynamically coherent example on $\mathbb T^3$

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Introduction to Riemannian Manifolds

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Geodesic Flows Modelled by Expansive Flows

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Identifiers

zbMATH Open document ID

1485.37029

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DOI

10.1007/978-3-030-74863-0_1

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5016434