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Brownian motion / Peter Mörters and Yuval Peres ; with an appendix by Oded Schramm and Wendelin Werner.

By: Contributor(s): Material type: TextTextSeries: Cambridge series on statistical and probabilistic mathematics ; 30.Publication details: Cambridge ; New York : Cambridge University Press, ©2010.Description: 1 online resource (xii, 403 pages) : illustrationsContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9780511744273
  • 0511744277
  • 9780511743191
  • 051174319X
  • 9780511749742
  • 0511749740
  • 9780511750489
  • 051175048X
  • 9781107207769
  • 1107207762
Subject(s): Genre/Form: Additional physical formats: Print version:: Brownian motion.DDC classification:
  • 530.475
LOC classification:
  • QA274.75 .M67 2010eb
Other classification:
  • 31.70
  • SK 820
  • MAT 607f
Online resources:
Contents:
Brownian motion as a random function -- Brownian motion as a strong Markov process -- Harmonic functions, transience and recurrence -- Hausdorff dimension : techniques and applications -- Brownian motion and random walk -- Brownian local time -- Stochastic integrals and applications -- Potential theory of Brownian motion -- Intersections and self-intersections of Brownian paths -- Exceptional sets for Brownian motion -- Stochastic Loewner evolution and planar Brownian motion.
Summary: Everything the graduate student in probability wants to know about Brownian motion, including the latest research in the field.
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Everything the graduate student in probability wants to know about Brownian motion, including the latest research in the field.

Includes bibliographical references (pages 386-399) and index.

Brownian motion as a random function -- Brownian motion as a strong Markov process -- Harmonic functions, transience and recurrence -- Hausdorff dimension : techniques and applications -- Brownian motion and random walk -- Brownian local time -- Stochastic integrals and applications -- Potential theory of Brownian motion -- Intersections and self-intersections of Brownian paths -- Exceptional sets for Brownian motion -- Stochastic Loewner evolution and planar Brownian motion.

Print version record.

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