Levy Processes and Stochastic Calculus ICM Edition (BOK)

David Applebaum

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Levy 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 Levy processes, then leading on to develop the stochastic calculus for Levy 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 Levy processes to have finite moments; characterisation of Levy processes with finite variation; Kunita's estimates for moments of Levy type stochastic integrals; new proofs of Ito representation and martingale representation theorems for general Levy processes; multiple Wiener-Levy integrals and chaos decomposition; an introduction to Malliavin calculus; an introduction to stability theory for Levy-driven SDEs.

Produktfakta

Språk Engelsk Engelsk Innbinding Heftet
Utgitt 2009 Forfatter David Applebaum
Forlag
CAMBRIDGE UNIVERSITY PRESS
ISBN 9780521738651
Antall sider 490 Dimensjoner 15,2cm x 22,8cm x 2,7cm
Vekt 710 gram Leverandør Bertram Trading Ltd

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