OpenCourser
Learn skills that shape your future
Visit OpenCourser.com
This eagerly awaited textbook covers everything the graduate student in probability wants to know about Brownian motion, as well as the latest research in the area. Starting with the construction of Brownian motion, the book then proceeds to sample path properties like continuity and nowhere differentiability. Notions of fractal dimension are introduced early and are used throughout the book to describe fine properties of Brownian paths. The relation of Brownian motion and random walk is explored from several viewpoints, including a development of the theory of Brownian local times from random walk embeddings. Stochastic integration is introduced as a tool and an accessible treatment of the potential theory of Brownian motion clears the path for an extensive treatment of intersections of Brownian paths. An investigation of exceptional points on the Brownian path and an appendix on SLE processes, by Oded Schramm and Wendelin Werner, lead directly to recent research themes.
Save
Protected by Amazon A-to-z Guarantee & generous return policies
Every book purchase is protected by the Amazon A-to-z Guarantee. This guarantee covers both the condition of your book and its timely delivery, providing full buyer protection whether you purchase directly from Amazon or from third-party marketplace sellers.
Generous 30-day return policy on physical books. Amazon makes returns effortless with self-service return labels, drop-off at thousands of local locations (Kohl's, Whole Foods, UPS Stores), and free return shipping on eligible book purchases.
Maximize your savings with competitive pricing, deep discounts on new and used marketplace copies, bundled textbook rentals, and exclusive member savings through Amazon Prime with free fast delivery.
Read your way across versatile digital and physical formats: instant delivery via Kindle eBooks, unlimited reading with a Kindle Unlimited subscription, audiobook listening with Audible (often featuring a 30-day free trial), or traditional paperback and hardcover editions.
OpenCourser helps millions of learners each year. People visit us to learn workspace skills, ace their exams, and nurture their curiosity.
Our extensive catalog contains over 50,000 courses and twice as many books. Browse by search, by topic, or even by career interests. We'll match you to the right resources quickly.
Find this site helpful? Tell a friend about us.
We're supported by our community of learners. When you purchase or subscribe to courses and programs or purchase books, we may earn a commission from our partners.
Your purchases help us maintain our catalog and keep our servers humming without ads.
Thank you for supporting OpenCourser.
