## Duke's theorem for subcollections

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.

Published in:
Ergodic Theory And Dynamical Systems, 36, 335-342
Year:
2016
Publisher:
New York, Cambridge Univ Press
ISSN:
0143-3857
Laboratories: