Stable Levy Processes via Lamperti-Type Representations

Stable Levy Processes via Lamperti-Type Representations by Andreas E Kyprianou

This completely new mathematical treatment, geared toward graduate students and researchers, systemically covers the theory of Stable Levy processes, which serve as a key building block to many other stochastic models prevalent in biology, physics, economics and engineering.

'This treatise takes readers on a superb journey through the fascinating worlds of stable Lévy processes and of a rich variety of further naturally related random processesAndreas Kyprianou and Juan Carlos Pardo masterfully deploy an arsenal of techniques, which are already interesting on their own right, to reveal many classical or more recent high level results on the distributions of functionals and on the path behaviours stable processes. It is indeed remarkable that their methods lead to so many explicit formulas, some amazingly simple, some more complex. The authors should be praised for making accessible as a coherent whole a vast literature that has been developed over several decades, including the latest developments.' Jean Bertoin, University of Zurich

Andreas E. Kyprianou was educated at the University of Oxford and University of Sheffield and is currently a professor of mathematics at the University of Bath. He has spent over 25 years working on the theory and application of path-discontinuous stochastic processes and has over 130 publications, including a celebrated graduate textbook on Lévy processes. During his time in Bath, he co-founded and directed the Prob-L@B (Probability Laboratory at Bath), was PI for a multi-million-pound EPSRC Centre for Doctoral Training, and is currently the Director of the Bath Institute for Mathematical Innovation. Juan Carlos Pardo is a full professor at the department of Probability and Statistics at Centro de Investigación en Matemáticas (CIMAT). He was educated at the Universidad Nacional Autónoma de México (UNAM) and Université de Paris VI (Sorbonne Université). He has spent over 13 years working on the theory and application of path-discontinuous stochastic processes and has more than 50 publications in these areas. During the academic year 2018-2019, he held the David Parkin visiting professorship at the University of Bath.

SKU	Nicht verfügbar
ISBN 13	9781108480291
ISBN 10	1108480292
Titel	Stable Levy Processes via Lamperti-Type Representations
Autor	Andreas E Kyprianou
Serie	Institute Of Mathematical Statistics Monographs
Buchzustand	Nicht verfügbar
Bindungsart	Hardback
Verlag	Cambridge University Press
Erscheinungsjahr	2022-04-07
Seitenanzahl	484
Hinweis auf dem Einband	Die Abbildung des Buches dient nur Illustrationszwecken, die tatsächliche Bindung, das Cover und die Auflage können sich davon unterscheiden.
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