Lv̌y Matters I Recent Progress in Theory and Applications: Foundations, Trees and Numerical Issues in Finance /

• Main Authors: Duquesne, Thomas. (Author), Reichmann, Oleg. (Author), Sato, Ken-iti. (Author), Schwab, Christoph. (Author)
• Corporate Author: SpringerLink (Online service)
• Other Authors: Barndorff-Nielsen, Ole E. (Editor), Bertoin, Jean. (Editor), Jacod, Jean. (Editor), Kl<U+00fc>ppelberg, Claudia. (Editor)
• Format: Electronic
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2010.
• Series: Lecture Notes in Mathematics, 2001
• Subjects: Mathematics.; Distribution (Probability theory).; Probability Theory and Stochastic Processes.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-642-14007-5
• Physical Description: XIV, 206 p. online resource.
• ISBN: 9783642140075
• ISSN: 0075-8434

This is the first volume of a subseries of the Lecture Notes in Mathematics which will appear randomly over the next years. Each volume will describe some important topic in the theory or applications of Lv̌y 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 Lv̌y 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 Lv̌y or additive processes model the dynamics of the risky assets.