Analysis for Diffusion Processes on Riemannian Manifolds

Nonfiction, Science & Nature, Mathematics, Probability, Mathematical Analysis, Statistics
Cover of the book Analysis for Diffusion Processes on Riemannian Manifolds by Feng-Yu Wang, World Scientific Publishing Company
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Feng-Yu Wang ISBN: 9789814452663
Publisher: World Scientific Publishing Company Publication: September 23, 2013
Imprint: WSPC Language: English
Author: Feng-Yu Wang
ISBN: 9789814452663
Publisher: World Scientific Publishing Company
Publication: September 23, 2013
Imprint: WSPC
Language: English

Stochastic analysis on Riemannian manifolds without boundary has been well established. However, the analysis for reflecting diffusion processes and sub-elliptic diffusion processes is far from complete. This book contains recent advances in this direction along with new ideas and efficient arguments, which are crucial for further developments. Many results contained here (for example, the formula of the curvature using derivatives of the semigroup) are new among existing monographs even in the case without boundary.

Contents:

  • Preliminaries
  • Diffusion Processes on Riemannian Manifolds without Boundary
  • Reflecting Diffusion Processes on Manifolds with Boundary
  • Stochastic Analysis on Path Space over Manifolds with Boundary
  • Subelliptic Diffusion Processes

Readership: Graduate students, researchers and professionals in probability theory, differential geometry and partial differential equations.
Key Features:

  • First book where the key theory and machinery of the reflecting diffusion processes on Riemannian manifolds with boundary are systematically introduced
  • First book to clarify intrinsic links between the semigroup properties on one hand and geometric quantities (curvature and second fundamental form) on the other, and these links are introduced in an easy to understand manner: by formulating geometric quantities using short time behaviors of derivatives of the semigroup, whereby a reader can easily comprehend the equivalence of semigroup properties associated with lower bounds of these geometric quantities
  • First book where stochastic analysis on Riemannian manifolds with boundary are introduced
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

Stochastic analysis on Riemannian manifolds without boundary has been well established. However, the analysis for reflecting diffusion processes and sub-elliptic diffusion processes is far from complete. This book contains recent advances in this direction along with new ideas and efficient arguments, which are crucial for further developments. Many results contained here (for example, the formula of the curvature using derivatives of the semigroup) are new among existing monographs even in the case without boundary.

Contents:

Readership: Graduate students, researchers and professionals in probability theory, differential geometry and partial differential equations.
Key Features:

More books from World Scientific Publishing Company

Cover of the book More and Different by Feng-Yu Wang
Cover of the book Plasma Physics in Active Wave Ionosphere Interaction by Feng-Yu Wang
Cover of the book Benoit Mandelbrot by Feng-Yu Wang
Cover of the book An Informal Introduction to Stochastic Calculus with Applications by Feng-Yu Wang
Cover of the book Handbook of Climate Change and Agroecosystems by Feng-Yu Wang
Cover of the book Partitions by Feng-Yu Wang
Cover of the book Classical Mechanics by Feng-Yu Wang
Cover of the book Cultural Security by Feng-Yu Wang
Cover of the book Particle Physics at the Tercentenary of Mikhail Lomonosov by Feng-Yu Wang
Cover of the book An Undergraduate Introduction to Financial Mathematics by Feng-Yu Wang
Cover of the book Nanobioceramics for Healthcare Applications by Feng-Yu Wang
Cover of the book Physics and Our World by Feng-Yu Wang
Cover of the book Essays of Lim Boon Keng on Confucianism by Feng-Yu Wang
Cover of the book Lectures on Classical Electrodynamics by Feng-Yu Wang
Cover of the book Quantum Techniques in Stochastic Mechanics by Feng-Yu Wang
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy