Lévy Processes and Stochastic Calculus
Read your book anywhere, on any device, through RedShelf's cloud based eReader.
Digital Notes and Study Tools
Built-in study tools include highlights, study guides, annotations, definitions, flashcards, and collaboration.
The publisher of this book allows a portion of the content to be used offline.
The publisher of this book allows a portion of the content to be printed.
Additional Book Details
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.
|Sold By||Cambridge University Press|
|ISBNs||9780521738651, 9780521738651, 9780511530784|