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Lectures on Probability Theory and Statistics : Ecole d ete de Probabilites de Saint-Flour XXXIII - 2003.

Author: Amir Dembo; Tadahisa Funaki; Jean Picard; Springer-Verlag.
Publisher: Guildford : Springer London, Limited, Jan. 2010.
Edition/Format:   Computer file : Online system or service : English
Database:WorldCat
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Material Type: Online system or service, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Amir Dembo; Tadahisa Funaki; Jean Picard; Springer-Verlag.
ISBN: 9783540315377 3540315373
OCLC Number: 846892115
Description: electronic text.
Other Titles: SpringerLINK Lecture Notes in Mathematics Contemporary (1997-present)

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This volume contains two of the three lecturesthat were given at the 33rd Probability Summer School in Saint-Flour (July 6-23, 2003). Amir Dembos course is devoted to recent studies of the fractal nature of random sets, focusing on some fine properties of the sample path of random walk and Brownian motion. In particular, the cover time for Markov chains, the dimension of discrete limsup random fractals, the multi-scale truncated second moment and the Ciesielski-Taylor identities are explored. Tadahisa Funakis course reviews recent developments of the mathematical theory on stochastic interface models, mostly on the so-called\nabla \varphiinterface model. The results are formulated as classical limit theorems in probability theory, and the text serves with good applications of basic probability techniques.

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