Lectures on Probability Theory and Statistics

Ecole d'Eté de Probabilités de Saint-Flour XXXIII - 2003
1. Auflage 2005
ISBN: 978-3-540-26069-1
Verlag: Springer

Buch, Englisch, Band 1869, 286 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 462 g

Reihe: Lecture Notes in Mathematics

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

Zielgruppe

Research

Autoren/Hrsg.

Dembo, Amir

Funaki, Tadahisa

Picard, Jean

Fachgebiete

• Mathematik | Informatik Mathematik Stochastik Wahrscheinlichkeitsrechnung
• Interdisziplinäres Wissenschaften Wissenschaften: Forschung und Information Datenanalyse, Datenverarbeitung
• Mathematik | Informatik Mathematik Mathematische Analysis Reelle Analysis
• Mathematik | Informatik Mathematik Mathematische Analysis Vektoranalysis, Physikalische Felder
• Mathematik | Informatik Mathematik Stochastik Mathematische Statistik
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen

Inhaltsverzeichnis

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