Entropy of the geodesic flow for metric spaces and Bruhat–Tits buildings

DOI10.1515/ADVGEOM.2006.029zbMath1112.37027MaRDI QIDQ3431474

Enrico Leuzinger

Publication date: 10 April 2007

Published in: advg (Search for Journal in Brave)

zbMATH Keywords

\(p\)-adic groupstopological entropyBruhat-Tits buildingsdiscrete subgroups of Lie groupsHadamard spaces

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Buildings and the geometry of diagrams (51E24) Topological entropy (37B40) Groups with a (BN)-pair; buildings (20E42) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) (p)-adic theory (11E95)

Related Items

On the Hausdorff dimension of \(\mathrm{CAT}(\kappa)\) surfaces ⋮ Stable lattices in \(p\)-adic representations. II: Irregularity and entropy ⋮ Geodesically complete spaces with an upper curvature bound ⋮ Entropy rigidity and Hilbert volume

Cites Work

• Topological entropy for geodesic flows
• A relation between growth and the spectrum of the Laplacian
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• Lattices in rank one Lie groups over local fields
• On the asymptotic geometry of nonpositively curved manifolds
• Exponential divergence of discrete subgroups of higher rank.
• Reductive groups over a local field
• Minimal entropy and Mostow's rigidity theorems