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Ergodic theoretic proof of equidistribution of Hecke points

Published online by Cambridge University Press:  13 December 2005

ALEX ESKIN  and
HEE OH
ALEX ESKIN
Affiliation:
Mathematics Department, University of Chicago, Chicago, IL 60637, USA (e-mail: eskin@math.uchicago.edu)
HEE OH
Affiliation:
Mathematics Department, Princeton University, Princeton, NJ 08544, USA (e-mail: heeoh@its.caltech.edu) Math 253-37, Caltech, Pasadena, CA 91125, USA
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Abstract

We prove the equidistribution of Hecke points for any connected non-compact $\mathbb{Q}$-simple real algebraic group G and an arithmetic subgroup $\Gamma\subset G(\mathbb{Q})$, generalizing a theorem of Clozel, Oh and Ullmo. The main tool is a theorem of Mozes and Shah on unipotent flows.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 26 , Issue 1 , February 2006 , pp. 163 - 167
Copyright
2005 Cambridge University Press

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