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＜E-Book＞
Lectures on Probability Theory and Statistics : Ecole d'Eté de Probabilités de Saint-Flour XXXIII - 2003 / by Amir Dembo, Tadahisa Funaki ; edited by Jean Picard
(École d'Été de Probabilités de Saint-Flour ; 1869)

Edition	1st ed. 2005.
Publisher	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
Year	2005
Language	English
Size	VIII, 286 p. 40 illus : online resource
Authors	*Dembo, Amir author Funaki, Tadahisa author Picard, Jean editor SpringerLink (Online service)
Subjects	LCSH:Probabilities LCSH:Measure theory LCSH:Potential theory (Mathematics) LCSH:Statistics  LCSH:Differential equations FREE:Probability Theory FREE:Measure and Integration FREE:Potential Theory FREE:Statistics in Engineering, Physics, Computer Science, Chemistry and Earth Sciences FREE:Differential Equations
Notes	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 HTTP:URL=https://doi.org/10.1007/b136622

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