Often textbooks on probability theory cover, if at all, Brownian motion only briefly. On the other hand, there is a considerable gap to more specialized texts on Brownian motion which is not so easy to overcome for the novice.
Starting with the construction of Brownian motion, the book then proceeds to sample path properties like continuity and nowhere differentiability.
This book studies its origin in molecular scale fluctuations, its description in terms of random process theory and also in terms of statistica.
Following the publication of the Japanese edition of this book, several inter esting developments took place in the area.
This book gives a gentle introduction to Brownian motion and stochastic processes, in general.
... p - variation of stochastic processes is quite difficult , and ... functions of the Gaussian process . [ 64 ] Dudley , Norvaiša : An ...