Lectures on probability theory and statistics : École d'été de probabilités de Saint-Flour XXXIII - 2003
著者
書誌事項
Lectures on probability theory and statistics : École d'été de probabilités de Saint-Flour XXXIII - 2003
（Lecture notes in mathematics, 1869）
Springer, c2005
- タイトル別名
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Lectures on probability theory and statistics, St. Flour 2003
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注記
"Three series of lectures were given at the 33rd Probability Summer School in Saint-Flour (July 6-23, 2003)"--P. [v]
Includes bibliographical references
"ISSN Ecole d'été de probabilités de St-Flour, print edition: 0721-5363"--T.p. verso
内容説明・目次
内容説明
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.
目次
A. Dembo: Favorite Point, Cover times and Fractals.- T. Funaki: Stochastic Interface Models.
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