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Stochastic Analysis on Manifolds
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Description for Stochastic Analysis on Manifolds
Hardcover. Probability theory has become a convenient language and a useful tool in many areas of modern analysis. This book intends to explore part of this connection concerning the relations between Brownian motion on a manifold and analytical aspects of differential geometry. It begins with a review of stochastic differential equations on Euclidean space. Series: Graduate Studies in Mathematics. Num Pages: 273 pages, bibliography, index. BIC Classification: PBPD; PBWL. Category: (P) Professional & Vocational. Dimension: 260 x 184 x 21. Weight in Grams: 738.
Probability theory has become a convenient language and a useful tool in many areas of modern analysis. The main purpose of this book is to explore part of this connection concerning the relations between Brownian motion on a manifold and analytical aspects of differential geometry. A dominant theme of the book is the probabilistic interpretation of the curvature of a manifold.The book begins with a brief review of stochastic differential equations on Euclidean space. After presenting the basics of stochastic analysis on manifolds, the author introduces Brownian motion on a Riemannian manifold and studies the effect of curvature on its ... Read more
Probability theory has become a convenient language and a useful tool in many areas of modern analysis. The main purpose of this book is to explore part of this connection concerning the relations between Brownian motion on a manifold and analytical aspects of differential geometry. A dominant theme of the book is the probabilistic interpretation of the curvature of a manifold.The book begins with a brief review of stochastic differential equations on Euclidean space. After presenting the basics of stochastic analysis on manifolds, the author introduces Brownian motion on a Riemannian manifold and studies the effect of curvature on its ... Read more
Product Details
Format
Hardback
Publication date
2002
Publisher
American Mathematical Society United States
Number of pages
273
Condition
New
Series
Graduate Studies in Mathematics
Place of Publication
Providence, United States
ISBN
9780821808023
SKU
V9780821808023
Shipping Time
Usually ships in 4 to 8 working days
Ref
99-3
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