Equilibrium states in negative curvature

zbMath1347.37001arXiv1211.6242MaRDI QIDQ3457591

Barbara Schapira, Frédéric Paulin, Mark Pollicott

Publication date: 16 December 2015

Full work available at URL: https://arxiv.org/abs/1211.6242

zbMATH Keywords

periodic orbitspressurevariational principleorbit countinggeodesic flownegative curvatureGibbs statestrong unstable foliationPatterson density

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory (37-02)

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