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Fluctuation Theory for Lévy Processes

Ecole d'Eté de Probabilités de Saint-Flour XXXV - 2005

  • Book
  • © 2007

Overview

Part of the book series: Lecture Notes in Mathematics (LNM, volume 1897)

Part of the book sub series: École d'Été de Probabilités de Saint-Flour (LNMECOLE)

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Table of contents (10 chapters)

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About this book

Lévy processes, i.e. processes in continuous time with stationary and independent increments, are named after Paul Lévy, who made the connection with infinitely divisible distributions and described their structure. They form a flexible class of models, which have been applied to the study of storage processes, insurance risk, queues, turbulence, laser cooling, ... and of course finance, where the feature that they include examples having "heavy tails" is particularly important. Their sample path behaviour poses a variety of difficult and fascinating problems. Such problems, and also some related distributional problems, are addressed in detail in these notes that reflect the content of the course given by R. Doney in St. Flour in 2005.

Authors, Editors and Affiliations

  • Laboratoire de Mathématiques Appliquées, Université Blaise Pascal (Clermont-Ferrand), Aubière Cedex, France

    Jean Picard

  • School of Mathematics, University of Manchester, Manchester, UK

    Ronald A. Doney

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