Abstract
We combine effective mixing and Duke's theorem on closed geodesics on the modular surface to show that certain subcollections of the collection of geodesics with a given discriminant still equidistribute. These subcollections are only assumed to have sufficiently large total length without any further restrictions.
Details
Title
Duke's theorem for subcollections
Author(s)
Aka, Menny ; Einsiedler, Manfred
Published in
Ergodic Theory And Dynamical Systems
Pagination
8
Volume
36
Pages
335-342
Date
2016
Publisher
New York, Cambridge Univ Press
ISSN
0143-3857
Other identifier(s)
View record in Web of Science
Laboratories
TAN
Record Appears in
Scientific production and competences > SB - School of Basic Sciences > MATH - Institute of Mathematics > TAN - Chair of analytic number theory
Scientific production and competences > SB - School of Basic Sciences > Mathematics
Peer-reviewed publications
Work produced at EPFL
Journal Articles
Published
Scientific production and competences > SB - School of Basic Sciences > Mathematics
Peer-reviewed publications
Work produced at EPFL
Journal Articles
Published
Record creation date
2016-07-19