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Brownian motion

著者: Peter Mörters; Y Peres; Oded Schramm; Wendelin Werner
出版社: Cambridge, UK ; New York : Cambridge University Press, ©2010.
シリーズ: Cambridge series on statistical and probabilistic mathematics, 30.
エディション/フォーマット:   紙書籍 : Englishすべてのエディションとフォーマットを見る
概要:
"This textbook offers a broad and deep exposition of Brownian motion. Extensively class tested, it leads the reader from the basics to the latest research in the area." "Starting with the construction of Brownian motion, the book then proceeds to sample path properties such as continuity and nowhere differentiability. Notions of fractal dimension are introduced early and are used throughout the book to describe fine  続きを読む
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ドキュメントの種類 書籍
すべての著者/寄与者: Peter Mörters; Y Peres; Oded Schramm; Wendelin Werner
ISBN: 9780521760188 0521760186
OCLC No.: 466341039
物理形態: xii, 403 pages : illustrations ; 26 cm.
コンテンツ: 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.
シリーズタイトル: Cambridge series on statistical and probabilistic mathematics, 30.
責任者: Peter Mörters and Yuval Peres ; with an appendix by Oded Schramm and Wendelin Werner.

概要:

Everything the graduate student in probability wants to know about Brownian motion, including the latest research in the field.  続きを読む

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'This splendid account of the modern theory of Brownian motion puts special emphasis on sample path properties and connections with harmonic functions and potential theory, without omitting such 続きを読む

 
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