Stochastic calculus has important applications to mathematical finance. This book will appeal to practitioners and students who want an elementary introduction to these areas.
Undergraduate and beginning graduate students in mathematics, theoretical computer science, statistics, engineering, and economics will find the book appropriate for self-study.
The analogue of Hammersley's theorem on the length of the longest monotonic subsequence of i.i.d. continously distributed random variables is obtained for the pseudo-random van der Corput sequence.
Two results are established concerning the ability of a set to cover any element of a class of sets under the action of an ergodic flow. The classes considered are the class of countable sets and the class of sets of measure zero. (Author).