Can I read An Introduction to the Analysis of Paths on a Riemannian Manifold (Mathematical Surveys and Monographs) on EtoBox?

An Introduction to the Analysis of Paths on a Riemannian Manifold (Mathematical Surveys and Monographs) by Daniel W. Stroock is a nonfiction available to read on EtoBox.

What is An Introduction to the Analysis of Paths on a Riemannian Manifold (Mathematical Surveys and Monographs) about?

<p>This book aims to bridge the gap between probability and differential geometry. It gives two constructions of Brownian motion on a Riemannian manifold: an extrinsic one where the manifold is realized as an embedded submanifold of Euclidean space and an intrinsic one based on the ''rolling'' map. It is then shown how geometric quantities (such as curvature) are reflected by the behavior of Brownian paths and how that behavior can be used to extract information about geometric quantities. Readers should have a strong background in analysis with basic knowledge in stochastic calculus and differential geometry. Professor Stroock is a highly-respected expert in probability and analysis. The clarity and style of his exposition further enhance the quality of this volume. Readers will find an inviting introduction to the study of paths and Brownian motion on Riemannian manifolds.</p>

Who reads An Introduction to the Analysis of Paths on a Riemannian Manifold (Mathematical Surveys and Monographs)?

Author

Daniel W. Stroock

Publisher

R.I. : American Mathematical Society

Published

2000

Language

EN

ISBN

9780821838396

Category

nonfiction

Subjects

Mathematics, Stem