Equidistribution of periodic points for modular correspondences
Dynamical Systems
2010-11-03 v1
Abstract
Let T be an exterior modular correspondence on an irreducible locally symmetric space X. In this note, we show that the isolated fixed points of the power T^n are equidistributed with respect to the invariant measure on X as n tends to infinity. A similar statement is given for general sequences of modular correspondences.
Keywords
Cite
@article{arxiv.1011.0529,
title = {Equidistribution of periodic points for modular correspondences},
author = {Tien-Cuong Dinh},
journal= {arXiv preprint arXiv:1011.0529},
year = {2010}
}
Comments
7 pages