Non-Archimedean equidistribution and group actions on trees

DOI10.1016/J.CRMA.2016.08.001zbMath1349.37094arXiv1607.00153OpenAlexW2470780643WikidataQ109744370 ScholiaQ109744370MaRDI QIDQ321483

Anne Broise-Alamichel, Jouni Parkkonen, Frédéric Paulin

Publication date: 13 October 2016

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.00153

zbMATH Keywords

equidistributiondiscrete geodesic flowgeodesic raysquadratic irrational

Mathematics Subject Classification ID

Symbolic dynamics (37B10) Linear algebraic groups over local fields and their integers (20G25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Dynamical systems over non-Archimedean local ground fields (37P20)

Related Items (8)

Non-Archimedean equidistribution and group actions on trees ⋮ The Distribution of Path Lengths On Directed Weighted Graphs ⋮ Counting common perpendicular arcs in negative curvature ⋮ Effective mixing and counting in Bruhat–Tits trees ⋮ Effective mixing and counting in trees – CORRIGENDUM ⋮ Counting and equidistribution in Heisenberg groups ⋮ Nonarchimedean quadratic Lagrange spectra and continued fractions in power series fields ⋮ Entropy and drift for Gibbs measures on geometrically finite manifolds

Cites Work

• Non-Archimedean equidistribution and group actions on trees
• Geometrically finite groups of tree automorphisms and Diophantine approximation in the trees.
• On the arithmetic of cross-ratios and generalised Mertens' formulas
• On the Analogue of the Modular Group in Characteristic p

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