Intermediate Lyapunov exponents for systems with periodic orbit gluing property

DOI10.3934/dcds.2019042zbMath1404.37023OpenAlexW2900096400WikidataQ128949259 ScholiaQ128949259MaRDI QIDQ1757435

Xiaodong Wang, Shirou Wang, Xue Ting Tian

Publication date: 4 January 2019

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2019042

zbMATH Keywords

Lyapunov exponentsshadowingspecification propertygluing orbit propertyasymptotically additive functions

Mathematics Subject Classification ID

Related Items (3)

On the entropy of flows with reparametrized gluing orbit property ⋮ Topological aspects of incompressible flows ⋮ Additive, almost additive and asymptotically additive potential sequences are equivalent

Cites Work

• Unnamed Item
• Topological features of flows with the reparametrized gluing orbit property
• Thermodynamic formalism and applications to dimension theory
• The pressure function for products of non-negative matrices.
• Lyapunov exponents for products of matrices and multifractal analysis. II: General matrices
• Multifractal analysis for Lyapunov exponents on nonconformal repellers
• Different asymptotic behavior versus same dynamical complexity: recurrence \& (ir)regularity
• Almost additive multifractal analysis
• Dimension and recurrence in hyperbolic dynamics
• Measures of intermediate entropies for skew product diffeomorphisms
• Lyapunov spectrum of asymptotically sub-additive potentials
• Absolutely continuous invariant measures for one-parameter families of one-dimensional maps
• Ergodic theory on compact spaces
• Lyapunov exponents for products of matrices and multifractal analysis. I: Positive matrices
• Diffeomorphisms with various \(C^1\) stable properties
• Generic properties of invariant measures for Axiom A diffeomorphisms
• Nonremovable zero Lyapunov exponent
• Variational principles and mixed multifractal spectra
• Irregular sets, the $𝛽$-transformation and the almost specification property
• Density of metric entropies for linear toral automorphisms
• On the genericity of the shadowing property for conservative homeomorphisms
• Multifractal analysis of the irregular set for almost-additive sequences via large deviations
• Decomposition of dynamical systems on an interval
• Non-hyperbolic ergodic measures with large support
• Diffeomorphisms Hölder conjugate to Anosov diffeomorphisms
• Non-hyperbolic ergodic measures for non-hyperbolic homoclinic classes
• A variational principle for topological pressure for certain non-compact sets
• Specification on the interval
• On the variational principle for the topological entropy of certain non-compact sets
• Large deviations estimates for dynamical systems without the specification property. Application to the β-shifts
• On Dynamical Systems With the Specification Property
• Topological Entropy for Noncompact Sets
• On the topological entropy of saturated sets
• Measures of intermediate entropies and homogeneous dynamics
• Equilibrium states for \(\beta\)-transformations and related transformations

This page was built for publication: Intermediate Lyapunov exponents for systems with periodic orbit gluing property