Equidistribution of periodic points for modular correspondences

Mathematics – Dynamical Systems

Scientific paper

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7 pages

Scientific paper

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.

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