Lévy Processes and Stochastic Calculus

David Applebaum

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Language: English

Published by Cambridge University Press, GB, 2009

0521738652 / 9780521738651

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Lévy processes form a wide and rich class of random process, and have many applications ranging from physics to finance. Stochastic calculus is the mathematics of systems interacting with random noise. Here, the author ties these two subjects together, beginning with an introduction to the general theory of Lévy processes, then leading on to develop the stochastic calculus for Lévy processes in a direct and accessible way. This fully revised edition now features a number of new topics. These include: regular variation and subexponential distributions; necessary and sufficient conditions for Lévy processes to have finite moments; characterisation of Lévy processes with finite variation; Kunita's estimates for moments of Lévy type stochastic integrals; new proofs of Ito representation and martingale representation theorems for general Lévy processes; multiple Wiener-Lévy integrals and chaos decomposition; an introduction to Malliavin calculus; an introduction to stability theory for Lévy-driven SDEs.…

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Title
Lévy Processes and Stochastic Calculus
Author
David Applebaum
Publisher
Cambridge University Press, GB
Publication year
2009
Condition
New
Binding
Paperback
Language
English
ISBN 10
0521738652
ISBN 13
9780521738651
Edition
2nd.
Item weight
730 grams
Dimensions
15.24 x 3.12 x 22.86 cm

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