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" Hyperbolic dynamics and Brownian motion : "
Jacques Franchi, Yves Le Jan
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BL
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| Record Number
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624527
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dltt
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| Main Entry
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Franchi, Jacques
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| Title & Author
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Hyperbolic dynamics and Brownian motion : : an introduction /\ Jacques Franchi, Yves Le Jan
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| Edition Statement
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First edition
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| Series Statement
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Oxford mathematical monographs
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| Page. NO
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1 online resource (xiv, 266 pages) :: illustrations
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| ISBN
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0191745677
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: 9780191745676
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9780199654109
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0199654107
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Includes bibliographical references and index
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| Contents
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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
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| Abstract
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An introduction to several important fields of modern mathematics. The exposition is based on an interplay between hyperbolic geometry, stochastic calculus, special relativity and chaotic dynamics. It is suitable for anyone with some solid background in linear algebra, calculus, and probability theory
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| Subject
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Geometry, Hyperbolic
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Stochastic analysis
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Differentiable dynamical systems
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Brownian motion processes
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| Dewey Classification
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515.39
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| LC Classification
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QA685.F73 2012
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| Added Entry
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Le Jan, Y., (Yves),1952-
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