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Creators/Authors contains: "Gekhtman, Ilya"

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  1. ; ; (, Mathematische Annalen)
    Abstract We prove that infinite orbits of Zariski dense hyperbolic groups equidistribute in homogeneous spaces, in the sense that the family of measures obtained by averaging along spheres in the Cayley graph converges to Haar measure. 
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  2. ; ; (, Compositio Mathematica)
    We establish central limit theorems for an action of a group $$G$$ on a hyperbolic space $$X$$ with respect to the counting measure on a Cayley graph of $$G$$ . 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. 
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  3. ; ; (, Israel Journal of Mathematics)
    null (Ed.)
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  4. ; ; (, Advances in Mathematics)
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  5. ; ; (, Journal of Topology)