Stochastic Processes

Gives a rigorous yet understandable presentation of the theory of stochastic processes

Presents the theory of distributions of functionals of diffusions including local times, rarely found in literature

Devotes serious attention to the Brownian local time

Includes many examples and exercises

Inhalt
Preface.- Notations.- Basic facts.- Stochastic calculus.- Distributions of functionals of Brownian motion.- Diffusion processes.- Brownian local time.- Diffusions with jumps.- Invariance principle for random walks and local times.- Appendix 1. Heat transfer problem.- Appendix 2. Special functions.- Appendix 3. Inverse Laplace transforms.- Appendix 4. Differential equations and their solutions.- Appendix 5. Examples of transformations of measures associated with diffusion processes.- Appendix 6. Formulae for n-fold differentiation.- Bibliography.- Subject index.