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.
| ISBN: | 9783540403357 |
| Publication date: | 14th July 2003 |
| Author: | Ecole dété de probabilités de SaintFlour, S Albeverio, W Schachermayer, Michel Talagrand, P Bernard |
| Publisher: | Springer an imprint of Springer Berlin Heidelberg |
| Format: | Paperback |
| Pagination: | 296 pages |
| Series: | Lecture Notes in Mathematics |
| Genres: |
Probability and statistics Stochastics Mathematical physics Applied mathematics Economics, Finance, Business and Management |