stochastic process math x colon omega rightarrow math defined probability space math omega mathcal f p math '''law''' stochastic process math x math defined image measure center math mu p circ x math center math p math probability measure symbol math circ math denotes function composition math x math pre image measurable function equivalently math math valued random variable math x math math math space possible math math valued functions math math law stochastic process probability measure ref name kallenberg page ref name rogerswilliams page ref name frizvictoir page ref name resnick page ref measurable subset math b math math math pre image math x math gives center math
Formal science Mathematics Pure mathematics Probability theory Stochastic process