Geometrically finite groups of tree automorphisms and Diophantine approximation in the trees.

DOI10.1007/s00229-003-0413-1zbMath1070.20032OpenAlexW2084162701MaRDI QIDQ1424381

Frédéric Paulin

Publication date: 11 March 2004

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-003-0413-1

zbMATH Keywords

Diophantine approximationgeodesic flowsgraphs of groupsparabolic fixed pointsgeometrically finite negatively curved manifoldsnon-uniform tree lattices

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) Asymptotic properties of groups (20F69) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Groups acting on trees (20E08) Approximation in non-Archimedean valuations (11J61)

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