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

✍ Scribed by Amir Dembo, Tadahisa Funaki (auth.), Jean Picard (eds.)

Book ID
127453592
Publisher
Springer
Year
2005
Tongue
English
Weight
2 MB
Edition
1
Category
Library
City
Amsterdam
ISBN
3540315373
ISSN
0075-8434

No coin nor oath required. For personal study only.

✦ Synopsis

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 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.

✦ Subjects

Partial Differential Equations

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