Levy Processes Stochastic Calculus PDF (Adobe DRM) download by David Applebaum

Levy Processes Stochastic Calculus

Cambridge University Press
Publication date: July 2004
ISBN: 9780511207617
Digital Book format: PDF (Adobe DRM)

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LÈvy 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. For the first time in a book, Applebaum ties the two subjects together. He begins with an introduction to the general theory of LÈvy processes. The second part develops the stochastic calculus for LÈvy processes in a direct and accessible way. En route, the reader is introduced to important concepts in modern probability theory, such as martingales, semimartingales, Markov and Feller processes, semigroups and generators, and the theory of Dirichlet forms. There is a careful development of stochastic integrals and stochastic differential equations driven by LÈvy processes. The book introduces all the tools that are needed for the stochastic approach to option pricing, including ItÙ's formula, Girsanov's theorem and the martingale representation theorem.
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