Counting, Mixing and Equidistribution of horospheres in geometrically finite rank one locally symmetric manifolds

Details Counting, Mixing and Equidistribution of horospheres in geometrically finite rank one locally symmetric manifolds Counting, Mixing and Equidistribution of horospheres in geometrically finite rank one locally symmetric manifolds

2011-03-25

arxiv.org/abs/1103.5003v4

Mathematics

Representation Theory

Scientific paper

In this paper we study the equidistribution of expanding horospheres in
infinite volume geometrically finite rank one locally symmetric manifolds and
apply it to the orbital counting problem in apollonian sphere packing.

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