Groupes géométriquement finis d'automorphismes d'arbres et approximation diophantienne dans les arbres

被引：0

作者：

Paulin F. ^{[1
,2
]}

机构：

[1] Laboratoire de Mathématiques, UMR 8628 CNRS, Université Paris-Sud

[2] DMA, UMR 8553 CNRS, Écl. Normale Sup., 75230 Paris Cedex 05

来源：

manuscripta mathematica | 2004年 / 113卷 / 1期

关键词：

Fundamental Group; Tree Lattice; Diophantine Approximation; Geodesic Flow; Approximation Constant;

D O I：

10.1007/s00229-003-0413-1

中图分类号：

学科分类号：

摘要：

We introduce a class of non uniform tree lattices, analogous to the fundamental group of geometrically finite negatively curved manifolds. This class contains all the algebraic examples. Given such a tree lattice, we develop, as in [HP2] in the manifold case, a theory of diophantine approximation of points in the boundary of the tree by the parabolic fixed points. We compute approximation constants for some algebraic examples. All results are expressed intrinsically in terms of a natural geodesic flow for a graph of groups.

引用

页码：1 / 23

页数：22

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