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

DOI10.4171/GGD/545zbMath1457.37049arXiv1606.06253OpenAlexW3007830093MaRDI QIDQ2180205

David Constantine, Daniel J. Thompson, Jean-François Lafont

Publication date: 13 May 2020

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.06253

zbMATH Keywords

geodesic flowequilibrium measuremeasure of maximal entropyweak specification property\(\mathrm{CAT}(-1)\) spaceGibbs propertylarge deviations property

Mathematics Subject Classification ID

Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (8)

Higher-dimensional nonlinear thermodynamic formalism ⋮ Nonlinear thermodynamic formalism for flows ⋮ On the entropy of flows with reparametrized gluing orbit property ⋮ Multifractal analysis for maps with the gluing orbit property ⋮ Denseness of intermediate pressures for systems with the Climenhaga-Thompson structures ⋮ Zero-entropy dynamical systems with the gluing orbit property ⋮ Beyond Bowen’s Specification Property ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Closed geodesic distribution for manifolds of non-positive curvature
• Large deviation asymptotics for Anosov flows
• On the weaker forms of the specification property and their applications
• Large deviations estimates for dynamical systems without the specification property. Application to the β-shifts
• Ergodicité et équidistribution en courbure négative

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