Lectures on Probability Theory and Statistics: Ecole d'Eté de Probabilités de Saint-Flour XXXIII - 2003
This volume contains two of the three lectures that were given at the 33rd Probability 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 shastic 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.

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Lectures on Probability Theory and Statistics: Ecole d'Eté de Probabilités de Saint-Flour XXXIII - 2003
This volume contains two of the three lectures that were given at the 33rd Probability 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 shastic 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.

54.99 In Stock
Lectures on Probability Theory and Statistics: Ecole d'Eté de Probabilités de Saint-Flour XXXIII - 2003

Lectures on Probability Theory and Statistics: Ecole d'Eté de Probabilités de Saint-Flour XXXIII - 2003

Lectures on Probability Theory and Statistics: Ecole d'Eté de Probabilités de Saint-Flour XXXIII - 2003

Lectures on Probability Theory and Statistics: Ecole d'Eté de Probabilités de Saint-Flour XXXIII - 2003

Paperback(2005)

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Overview

This volume contains two of the three lectures that were given at the 33rd Probability 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 shastic 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.


Product Details

ISBN-13: 9783540260691
Publisher: Springer Berlin Heidelberg
Publication date: 11/03/2005
Series: Lecture Notes in Mathematics , #1869
Edition description: 2005
Pages: 286
Product dimensions: 6.10(w) x 9.25(h) x 0.02(d)

Table of Contents

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