Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10180944 | Comptes Rendus Mathematique | 2016 | 5 Pages |
Abstract
We give equidistribution results of elements of function fields over finite fields, and of quadratic irrationals over these fields, in their completed local fields. We deduce these results from equidistribution theorems of common perpendiculars in quotients of trees by lattices in their automorphism groups, proved by using ergodic properties of the discrete geodesic flow.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Anne Broise-Alamichel, Jouni Parkkonen, Frédéric Paulin,