Levy Matters I: Recent Progress in Theory and Applications: Foundations, Trees and Numerical Issues in Finance
Levy Matters I: Recent Progress in Theory and Applications: Foundations, Trees and Numerical Issues in Finance By Thomas Duquesne
2010 | 220 Pages | ISBN: 3642140068 | PDF | 2 MB
2010 | 220 Pages | ISBN: 3642140068 | PDF | 2 MB
This is the first volume of a subseries of the Lecture Notes in Mathematics called Levy Matters, which will appear randomly over the next years. Each volume will describe some important topic in the theory or applications of Levy processes and pay tribute to the state of the art of this rapidly evolving subject with special emphasis on the non-Brownian world. The three expository articles of this first volume have been chosen to reflect the breadth of the area of Levy processes. The first article by Ken-iti Sato characterizes extensions of the class of selfdecomposable distributions on R^d. The second article by Thomas Duquesne discusses Hausdorff and packing measures of stable trees. The third article by Oleg Reichmann and Christoph Schwab presents numerical solutions to Kolmogoroff equations, which arise for instance in financial engineering, when Levy or additive processes model the dynamics of the risky assets.