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Stable Levy Processes via Lamperti-Type Representations
Engelsk
Bogcover for Stable Levy Processes via Lamperti-Type Representations af Andreas E. Kyprianou, Juan Carlos Pardo, 9781108480291
Specifikationer
Sprog:
Engelsk
Sider:
484
ISBN-13:
9781108480291
Indbinding:
Hardback
ISBN-10:
1108480292
Udg. Dato:
7 apr 2022
Størrelse i cm:
15,9 x 23,4 x 3,1
Oplagsdato:
7 apr 2022

Stable Levy Processes via Lamperti-Type Representations

Engelsk
Hardback 2022
Format:

Bog beskrivelse
Stable Lévy processes lie at the intersection of Lévy processes and self-similar Markov processes. Processes in the latter class enjoy a Lamperti-type representation as the space-time path transformation of so-called Markov additive processes (MAPs). This completely new mathematical treatment takes advantage of the fact that the underlying MAP for stable processes can be explicitly described in one dimension and semi-explicitly described in higher dimensions, and uses this approach to catalogue a large number of explicit results describing the path fluctuations of stable Lévy processes in one and higher dimensions. Written for graduate students and researchers in the field, this book systemically establishes many classical results as well as presenting many recent results appearing in the last decade, including previously unpublished material. Topics explored include first hitting laws for a variety of sets, path conditionings, law-preserving path transformations, the distribution of extremal points, growth envelopes and winding behaviour.
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Specifikationer
Sprog:
Engelsk
Sider:
484
ISBN-13:
9781108480291
Indbinding:
Hardback
ISBN-10:
1108480292
Udg. Dato:
7 apr 2022
Størrelse i cm:
15,9 x 23,4 x 3,1
Oplagsdato:
7 apr 2022
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