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

Abstract

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.

References in corpus (2)

• Growth in finite simple groups of Lie type
• Linear Approximate Groups

Cited by in corpus (6)

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• Mixing of frame flow for rank one locally symmetric spaces and measure classification
• On the Local-Global Principle for Integral Apollonian-3 Circle Packings
• Distribution of orbits in ${\mathbb{R}}^2$ of a finitely generated group of $\SL(2,\R)$
• Eigenvalues of congruence covers of geometrically finite hyperbolic manifolds