Item description for Introductory Lectures on Fluctuations of Lévy Processes with Applications (Universitext) by Andreas E. Kyprianou...
Lvy processes are the natural continuous-time analogue of random walks and form a rich class of stochastic processes around which a robust mathematical theory exists. Their mathematical significance is justified by their application in many areas of classical and modern stochastic models.
This textbook forms the basis of a graduate course on the theory and applications of Lvy processes, from the perspective of their path fluctuations. Central to the presentation are decompositions of the paths of Lvy processes in terms of their local maxima and an understanding of their short- and long-term behaviour.
The book aims to be mathematically rigorous while still providing an intuitive feel for underlying principles. The results and applications often focus on the case of Lvy processes with jumps in only one direction, for which recent theoretical advances have yielded a higher degree of mathematical transparency and explicitness. Each chapter has a comprehensive set of exercises with complete solutions.
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Est. Packaging Dimensions: Length: 9.29" Width: 6.06" Height: 0.87" Weight: 1.28 lbs.
Release Date Aug 29, 2006
ISBN 3540313427 ISBN13 9783540313427
Reviews - What do customers think about Introductory Lectures on Fluctuations of Lévy Processes with Applications (Universitext)?
Interesting book but missing pages May 17, 2008
I only read the first few pages to this book. I am not a linear reader and I skipped ahead only to find that due to an apparent printing error, pages were missing from my copy making 2 chapters almost useless. I returned the copy for another but it had the same defect so I fear all the copies may be flawed.
The content appeared quite interesting and I am disappointed I didn't get to explore it further but I think caution is in order until there is a second, corrected printing.