Lectures on Probability Theory and Statistics: Ecole D'ete De Probabilites De Saint-flour Xxxiii - 2003 by Amir DemboLectures on Probability Theory and Statistics: Ecole D'ete De Probabilites De Saint-flour Xxxiii - 2003 by Amir Dembo

Lectures on Probability Theory and Statistics: Ecole D'ete De Probabilites De Saint-flour Xxxiii…

byAmir Dembo, Tadahisa FunakiEditorJean Picard

Paperback | November 3, 2005

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This volume contains two of the three lectures that were given at the 33rdProbability Summer School in Saint-Flour (July 6-23, 2003). Amir Dembo's 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 Funaki's course reviews recent developments of the mathematical theory on stochastic interface models, mostly on the so-called \nabla \varphi interface model. The results are formulated as classical limit theorems in probability theory, and the text serves with good applications of basic probability techniques.

Title:Lectures on Probability Theory and Statistics: Ecole D'ete De Probabilites De Saint-flour Xxxiii…Format:PaperbackDimensions:286 pagesPublished:November 3, 2005Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:3540260692

ISBN - 13:9783540260691

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Table of Contents

A. Dembo: Favorite Point, Cover times and Fractals.- T. Funaki: Stochastic Interface Models.