1.

Record Nr.

UNISA996466770103316

Autore

Cohen Serge

Titolo

Lévy Matters II [[electronic resource] ] : Recent Progress in Theory and Applications: Fractional Lévy Fields, and Scale Functions / / by Serge Cohen, Alexey Kuznetsov, Andreas E. Kyprianou, Victor Rivero

Pubbl/distr/stampa

Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2013

ISBN

3-642-31407-4

Edizione

[1st ed. 2013.]

Descrizione fisica

1 online resource (XII, 186 p. 8 illus., 1 illus. in color.)

Collana

Lévy Matters, A Subseries on Lévy Processes, , 2190-6637 ; ; 2061

Disciplina

510

Soggetti

Mathematics

Probabilities

Mathematics, general

Probability Theory and Stochastic Processes

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

Fractional Lévy fields -- The theory of scale functions for spectrally negative Lévy processes.

Sommario/riassunto

This is the second volume in a subseries of the Lecture Notes in Mathematics called Lévy Matters, which is published at irregular intervals over the years. Each volume examines a number of key topics in the theory or applications of Lévy processes and pays tribute to the state of the art of this rapidly evolving subject with special emphasis on the non-Brownian world.   The expository articles in this second volume cover two important topics in the area of Lévy processes. The first article by Serge Cohen reviews the most important findings on fractional Lévy fields to date in a self-contained piece, offering a theoretical introduction as well as possible applications and simulation techniques. The second article, by Alexey Kuznetsov, Andreas E. Kyprianou, and Victor Rivero, presents an up to date account of the theory and application of scale functions for spectrally negative Lévy processes, including an extensive numerical overview.