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Cambridge University Press Stable Lévy Processes via Lamperti-Type Representations: Series Number 7 (Institute of Mathematical Statistics Monographs, Series Number 7)

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£55.31 £32.08 £37.15 £42.22 £47.28 £52.35 £57.42 25 July 2026 09 August 2026 25 August 2026 10 September 2026 26 September 2026
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Description

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many classical results as well as presenting many recent results appearing in the last decade, including previously unpublished material.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.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
07 April 2022
Listed Since
16 September 2021

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