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Lectures on Probability Theory and Statistics

Ecole d'Eté de Probabilités de Saint-Flour XXX - 2000

  • Book
  • © 2003

Overview

Part of the book series: Lecture Notes in Mathematics (LNM, volume 1816)

Part of the book sub series: École d'Été de Probabilités de Saint-Flour (LNMECOLE)

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Table of contents (19 chapters)

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About this book

In World Mathematical Year 2000 the traditional St. Flour Summer School was hosted jointly with the European Mathematical Society. Sergio Albeverio reviews the theory of Dirichlet forms, and gives applications including partial differential equations, stochastic dynamics of quantum systems, quantum fields and the geometry of loop spaces. The second text, by Walter Schachermayer, is an introduction to the basic concepts of mathematical finance, including the Bachelier and Black-Scholes models. The fundamental theorem of asset pricing is discussed in detail. Finally Michel Talagrand, gives an overview of the mean field models for spin glasses. This text is a major contribution towards the proof of certain results from physics, and includes a discussion of the Sherrington-Kirkpatrick and the p-spin interaction models.

Editors and Affiliations

  • Institute for Applied Mathematics, Probability Theory and Statistics, University of Bonn, Bonn, Germany

    Sergio Albeverio

  • Department of Financial and Actuarial Mathematics, Vienna University of Technology, Vienna, Austria

    Walter Schachermayer

  • Equipe d’Analyse, Université Paris VI, Paris Cedex 05, France

    Michel Talagrand

  • Laboratoire de Mathématiques Appliquées UMR CNRS 6620, Université Blaise Pascal, Aubière Cedex, France

    Pierre Bernard

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