L�vy Matters I: Recent Progress in Theory and Applications: Foundations, Trees and Numerical Issues in Finance (Lecture Notes in Mathematics)

Thomas Duquesne, Ole E Barndorff-Nielsen, Jean Bertoin, Jean Jacod, Claudia Kl�ppelberg, Oleg Reichmann, Ken-iti Sato, Christoph Schwab

ISBN 10: 3642140068 / ISBN 13: 9783642140068

Editore: Springer 2010-09-05, 2010

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Codice articolo 6666-IUK-9783642140068

Dati bibliografici

• Titolo: L�vy Matters I: Recent Progress in Theory and Applications: Foundations, Trees and Numerical Issues in Finance (Lecture Notes in Mathematics)
• Editore: Springer 2010-09-05
• Data di pubblicazione: 2010
• Lingua: Inglese
• ISBN 10: 3642140068
• ISBN 13: 9783642140068
• Rilegatura: Paperback
• Condizione: New

Descrizione articolo

Riassunto

Focusing on the breadth of the topic, this volume explores Lévy processes and applications, and presents the state-of-the-art in this evolving area of study. These expository articles help to disseminate important theoretical and applied research to those studying the field.

Dalla quarta di copertina

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 Lévy 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 Lévy 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 Lévy or additive processes model the dynamics of the risky assets.