Definitions for "Stochastic process"
A process whose outcomes depends on chance elements – i.e. they are expressed as probabilities.
a statistical process involving a number of random variables depending on a variable parameter (which is usually time)
a Markov process if the future of the process depends only upon the present state of the process implying that the present state is a direct result of its history
a first order stationary if expected of X(t) remains the same for all t
a second order stationary if it is first order stationary and covariance between X(t) and X(s) is function of t-s only
a martingale if and only if the stochastic differential has the form i
Keywords:  interval, map, ranges, case, over
a map , where ranges over some interval ( in this case)