Report file quality
zlib/no-category/Stroock, Daniel W, None/An introduction to the analysis of paths on a Riemannian manifold , None_123847321.pdf
An introduction to the analysis of paths on a Riemannian manifold , None 🔍
Stroock, Daniel W, None Providence, R.I. : American Mathematical Society, American Mathematical Society, Providence, R.I., 2000
English [en] · PDF · 22.7MB · 2000 · 📗 Book (unknown) · 🚀/duxiu/ia/zlib · Save
description
xvii, 269 pages ; 26 cm, Includes bibliographical references (pages 265-266) and index, Ch. 1. Brownian Motion in Euclidean Space -- Ch. 2. Diffusions in Euclidean Space -- Ch. 3. Some Addenda, Extensions, and Refinements -- Ch. 4. Doing it on a Manifold, An Extrinsic Approach -- Ch. 5. More about Extrinsic Riemannian Geometry -- Ch. 6. Bochner's Identity -- Ch. 7. Some Intrinsic Riemannian Geometry -- Ch. 8. The Bundle of Orthonormal Frames -- Ch. 9. Local Analysis of Brownian Motion -- Ch. 10. Perturbing Brownian Paths
Alternative filename
ia/introductiontoan0000stro.pdf
Alternative title
An Introduction to the Analysis of Paths on a Riemannian Manifold (Mathematical Surveys and Monographs)
Alternative title
An introduction to the analysis of paths on a Riemannian manifold volume 74
Alternative author
Daniel W. Stroock
Alternative edition
Mathematical surveys and monographs, Erscheinungsort nicht ermittelbar, 2005
Alternative edition
Mathematical surveys and monographs, no. 74, Providence, R.I, ©2000
Alternative edition
United States, United States of America
Alternative edition
UK ed., 2005-03-24
Alternative edition
November 1999
Alternative edition
1, 2000
metadata comments
类型: 图书
metadata comments
出版日期: 2005.03
metadata comments
出版社: Amer Mathematical Society
metadata comments
页码: 269
metadata comments
出版日期: 2000
metadata comments
出版社: American Mathematical Society
metadata comments
页码: 270
Alternative description
<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>
Alternative description
Hoping to make the text more accessible to readers not schooled in the probabalistic tradition, Stroock (affiliation unspecified) emphasizes the geometric over the stochastic analysis of differential manifolds. Chapters deconstruct Brownian paths, diffusions in Euclidean space, intrinsic and extrinsic Riemannian geometry, Bocher's identity, and the bundle of orthonormal frames. The volume humbly concludes with an "admission of defeat" in regard to recovering the Li-Yau basic differential inequality. Annotation copyrighted by Book News, Inc., Portland, OR
Alternative description
In order for a mathematician to take A. Einstein's 1905 article [12] seriously, he should feel obliged to begin by doing what N. Wiener did in his 1923 article [45].
date open sourced
2023-06-28
Read more…

🚀 Fast downloads

Become a member to support the long-term preservation of books, papers, and more. To show our gratitude for your support, you get fast downloads. ❤️

🐢 Slow downloads

From trusted partners. More information in the FAQ. (might require browser verification — unlimited downloads!)

All download options have the same file, and should be safe to use. That said, always be cautious when downloading files from the internet, especially from sites external to Anna’s Archive. For example, be sure to keep your devices updated.
show external downloads
  • For large files, we recommend using a download manager to prevent interruptions.
    Recommended download managers: Motrix
  • You will need an ebook or PDF reader to open the file, depending on the file format.
    Recommended ebook readers: Anna’s Archive online viewer, ReadEra, and Calibre
  • Use online tools to convert between formats.
    Recommended conversion tools: CloudConvert and PrintFriendly
  • You can send both PDF and EPUB files to your Kindle or Kobo eReader.
    Recommended tools: Amazon‘s “Send to Kindle” and djazz‘s “Send to Kobo/Kindle”
  • Support authors and libraries
    ✍️ If you like this and can afford it, consider buying the original, or supporting the authors directly.
    📚 If this is available at your local library, consider borrowing it for free there.