Cohen, Serge.
Lévy Matters II Recent Progress in Theory and Applications: Fractional Lévy Fields, and Scale Functions / [electronic resource] : by Serge Cohen, Alexey Kuznetsov, Andreas E. Kyprianou, Victor Rivero. - Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013. - XII, 186 p. 8 illus., 1 illus. in color. online resource. - Lecture Notes in Mathematics, 2061 0075-8434 ; . - Lecture Notes in Mathematics, 2061 .
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.
9783642314070
10.1007/978-3-642-31407-0 doi
Mathematics.
Distribution (Probability theory).
Mathematics.
Mathematics, general.
Probability Theory and Stochastic Processes.
QA1-939
510
Lévy Matters II Recent Progress in Theory and Applications: Fractional Lévy Fields, and Scale Functions / [electronic resource] : by Serge Cohen, Alexey Kuznetsov, Andreas E. Kyprianou, Victor Rivero. - Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013. - XII, 186 p. 8 illus., 1 illus. in color. online resource. - Lecture Notes in Mathematics, 2061 0075-8434 ; . - Lecture Notes in Mathematics, 2061 .
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.
9783642314070
10.1007/978-3-642-31407-0 doi
Mathematics.
Distribution (Probability theory).
Mathematics.
Mathematics, general.
Probability Theory and Stochastic Processes.
QA1-939
510