Skip to main content

Gaussian Processes and Brownian Motion

  • Chapter
  • 4086 Accesses

Part of the book series: Probability and its Applications ((PIA))

Abstract

Symmetries of Gaussian distribution; existence and path properties of Brownian motion; strong Markov and reflection properties; arcsine and uniform laws; law of the iterated logarithm; Wiener integrals and isonormal Gaussian processes; multiple Wiener-Itô integrals; chaos expansion of Brownian functionals

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   74.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Rights and permissions

Reprints and permissions

Copyright information

© 1997 Applied Probability Trust

About this chapter

Cite this chapter

(1997). Gaussian Processes and Brownian Motion. In: Foundations of Modern Probability. Probability and its Applications. Springer, New York, NY. https://doi.org/10.1007/0-387-22704-0_11

Download citation

  • DOI: https://doi.org/10.1007/0-387-22704-0_11

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-94957-4

  • Online ISBN: 978-0-387-22704-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics