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:




 Record created 2016-07-19, last modified 2018-03-17


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