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Hyperbolic dynamics and Brownian motion : an introduction

Author: Jacques Franchi; Y Le Jan
Publisher: Oxford : Oxford University Press, 2012.
Series: Oxford mathematical monographs.
Edition/Format:   Book : English : 1st edView all editions and formats
Database:WorldCat
Summary:

A simple introduction to several important fields of modern mathematics. The exposition is based on an interplay between hyperbolic geometry, stochastic calculus, special relativity and chaotic  Read more...

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Details

Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Jacques Franchi; Y Le Jan
ISBN: 9780199654109 0199654107
OCLC Number: 785869548
Description: xiv, 266 : ill. ; 24 cm.
Contents: Introduction --
Summary --
1. The Lorentz-Mobius group PSO(1; d) --
2. Hyperbolic Geometry --
3. Operators and Measures --
4. Kleinian groups --
5. Measures and flows on ?\Fd --
6. Basic Ito Calculus --
7. Brownian motions on groups of matrices --
8. Central Limit Theorem for geodesics --
9. Appendix relating to geometry --
10. Appendix relating to stochastic calculus --
11. Index of notation, terms, and gures --
References
Series Title: Oxford mathematical monographs.
Responsibility: Jacques Franchi, Yves Le Jan.
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