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Statistics of matrix products in hyperbolic geometry

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Pollicott, Mark and Sharp, Richard (2010) Statistics of matrix products in hyperbolic geometry. In: International Conference on Dynamical Numbers: Interplay Between Dynamical systems and Number Theory, Max Planck Inst, Bonn, Germany, 20-24 Jun 2009 . Published in: Dynamical Numbers: Interplay Between Dynamical Systems and Number Theory , Vol.532 pp. 213-230.

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Abstract

We consider central limit theorems and their generalizations for matrix groups acting co-compactly or convex co-compactly on the hyperbolic plane. We consider statistical results for the displacement in the hyperbolic metric, the action on the boundary and the relationship with classical matrix groups.

Item Type: Conference Item (Paper)
Divisions: Faculty of Science > Mathematics
Journal or Publication Title: Dynamical Numbers: Interplay Between Dynamical Systems and Number Theory
Publisher: American Mathematical Society
ISSN: 0271-4132
Date: 2010
Volume: Vol.532
Page Range: pp. 213-230
Status: Peer Reviewed
Publication Status: Published
Conference Paper Type: Paper
Title of Event: International Conference on Dynamical Numbers: Interplay Between Dynamical systems and Number Theory
Type of Event: Conference
Location of Event: Max Planck Inst, Bonn, Germany
Date(s) of Event: 20-24 Jun 2009
URI: http://wrap.warwick.ac.uk/id/eprint/41484

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