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Brownian Motion and Diffusion

  • Book
  • © 1983

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Table of contents (3 chapters)

Keywords

About this book

A long time ago I started writing a book about Markov chains, Brownian motion, and diffusion. I soon had two hundred pages of manuscript and my publisher was enthusiastic. Some years and several drafts later, I had a thot:sand pages of manuscript, and my publisher was less enthusiastic. So we made it a trilogy: Markov Chains Brownian Motion and Diffusion Approximating Countable Markov Chains familiarly - Me, B & D, and ACM. I wrote the first two books for beginning graduate students with some knowledge of probability; if you can follow Sections 3.4 to 3.9 of Brownian Motion and Diffusion you're in. The first two books are quite independent of one another, and completely independent of the third. This last book is a monograph, which explains one way to think about chains with instantaneous states. The results in it are supposed to be new, except where there are speĀ­ cific disclaimers; it's written in the framework of Markov Chains. Most of the proofs in the trilogy are new, and I tried hard to make them explicit. The old ones were often elegant, but I seldom saw what made them go. With my own, I can sometimes show you why things work. And, as I will argue in a minute, my demonstrations are easier technically. If I wrote them down well enough, you may come to agree.

Authors and Affiliations

  • Department of Statistics, University of California, Berkeley, USA

    David Freedman

Bibliographic Information

  • Book Title: Brownian Motion and Diffusion

  • Authors: David Freedman

  • DOI: https://doi.org/10.1007/978-1-4615-6574-1

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: David A. Freedman 1983

  • Softcover ISBN: 978-1-4615-6576-5Published: 12 December 2012

  • eBook ISBN: 978-1-4615-6574-1Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: XII, 231

  • Additional Information: Originally published by Holden-Day Inc., 1971

  • Topics: Probability Theory and Stochastic Processes

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