Entropy and drift for Gibbs measures on geometrically finite manifolds

DOI10.1090/tran/8036zbMath1442.37050arXiv1904.01187OpenAlexW2983543577MaRDI QIDQ5218255

Giulio Tiozzo, Ilya Gekhtman

Publication date: 2 March 2020

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.01187

zbMATH Keywords

Gibbs densityhitting measureGuivarc'h relating entropy

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) 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)

Related Items (5)

Central limit theorems for counting measures in coarse negative curvature ⋮ The fundamental inequality for cocompact Fuchsian groups ⋮ Martin boundary covers Floyd boundary ⋮ Cusp excursion in hyperbolic manifolds and singularity of harmonic measure ⋮ Entropy and drift for word metrics on relatively hyperbolic groups

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