Finiteness of Gibbs measures on noncompact manifolds with pinched negative curvature

DOI10.5802/aif.3167zbMath1409.37039arXiv1610.03255OpenAlexW2963895617WikidataQ129839635 ScholiaQ129839635MaRDI QIDQ4557639

Barbara Schapira, Vincent Pit

Publication date: 26 November 2018

Published in: Annales de l’institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.03255

zbMATH Keywords

geodesic flowGibbs measure

Mathematics Subject Classification ID

Entropy and other invariants (28D20) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Nonsingular (and infinite-measure preserving) transformations (37A40)

Related Items (9)

Equidistribution of horospheres in non-positive curvature ⋮ Ergodic optimization and zero temperature limits in negative curvature ⋮ Orbital counting for some convergent groups ⋮ Central limit theorem of Brownian motions in pinched negative curvature ⋮ Pressure at infinity and strong positive recurrence in negative curvature ⋮ Generic free subgroups and statistical hyperbolicity ⋮ The decay rate of Patterson-Sullivan measures with potential functions and critical exponents ⋮ Narrow equidistribution and counting of closed geodesics on noncompact manifolds ⋮ Pressure, Poincaré series and box dimension of the boundary

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