Central limit theorems for counting measures in coarse negative curvature
We establish central limit theorems for an action of a group. Our techniques allow us to
remove the usual assumptions of properness and smoothness of the space, or
cocompactness of the action. We provide several applications which require our general
framework, including to lengths of geodesics in geometrically finite manifolds and to
intersection numbers with submanifolds.
remove the usual assumptions of properness and smoothness of the space, or
cocompactness of the action. We provide several applications which require our general
framework, including to lengths of geodesics in geometrically finite manifolds and to
intersection numbers with submanifolds.
[引用][C] Central limit theorems for counting measures in coarse negative curvature
SJ Taylor, G Tiozzo, I Gekhtman - 2023 Fall Eastern Sectional Meeting - meetings.ams.org
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