(Ebook) Stochastic Calculus of Variations for Jump Processes by Yasushi Ishikawa ISBN 9783110281804, 9783110282009, 9783110282016, 3110281805, 3110282003, 3110282011

(Ebook) Stochastic Calculus of Variations for Jump Processes by Yasushi Ishikawa ISBN 9783110281804, 9783110282009, 9783110282016, 3110281805, 3110282003, 3110282011

Stochastic Calculus of Variations for Jump ProcessesMain subject categories: • Continuous-time Markov processes on general state spaces • Transition functions, generators and resolvents • Processes with independent increments; Lévy processes • Probability theory and stochastic processes • Stochastic calculus of variations and the Malliavin calculusThis monograph is a concise introduction to the stochastic calculus of variations (also known as Malliavin calculus) for processes with jumps. It is written for researchers and graduate students who are interested in Malliavin calculus for jump processes. In this book processes "with jumps" includes both pure jump processes and jump-diffusions. The author provides many results on this topic in a self-contained way; this also applies to stochastic differential equations (SDEs) "with jumps". The book also contains some applications of the stochastic calculus for processes with jumps to the control theory and mathematical finance. Up to now, these topics were rarely discussed in a monograph