Lectures on probability theory and statistics
Subtitle: Ecole d'été de probabilités de Saint-Flour XXX, 2000
By: Pierre Bernard, editor.
Contributors: Bernard, P. 1944-
Series: Lecture notes in mathematics -- 1816; Lecture notes in mathematics (Springer-Verlag) -- 1816
Publisher: Springer
Published: 2003
Place of publication: Berlin; New York
Language: eng
Number of pages: 296
Subjects: Probabilities -- Congresses; Mathematical statistics -- Congresses
Genres: Congresses.
Description: 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.
Notes: Includes bibliographical references.