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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 , Volume 532 pp. 213-230. ISSN 0271-4132.
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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) | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Library of Congress Subject Headings (LCSH): | Geometry, Hyperbolic, Matrices | ||||
Journal or Publication Title: | Dynamical Numbers: Interplay Between Dynamical Systems and Number Theory | ||||
Publisher: | American Mathematical Society | ||||
ISSN: | 0271-4132 | ||||
Official Date: | 2010 | ||||
Dates: |
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Volume: | Volume 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 |
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