1.

Record Nr.

UNINA9910483813703321

Titolo

Levy matters I : recent progress in theory and applications : foundations, trees and numerical issues in finance / / Thomas Duquesne ... [et al.] ; editors, Ole E. Barndorff-Nielsen ... [et al.]

Pubbl/distr/stampa

Heidelberg ; ; New York, : Springer, c2010

ISBN

9786613569721

9781280391804

1280391804

9783642140075

3642140076

Edizione

[1st ed. 2010.]

Descrizione fisica

1 online resource (XIV, 206 p.)

Collana

Lecture notes in mathematics, , 1617-9692 ; ; 2001

Altri autori (Persone)

Barndorff-NielsenO. E (Ole E.)

DuquesneThomas

JacodJean

Disciplina

519.2

Soggetti

Branching processes

Lévy processes

Trees (Graph theory)

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"With a short biography of Paul Levy by Jean Jacod".

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

Fractional Integrals and Extensions of Selfdecomposability -- Packing and Hausdorff Measures of Stable Trees -- Numerical Analysis of Additive, Lévy and Feller Processes with Applications to Option Pricing.

Sommario/riassunto

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.