ergodic

adjectives

positive recurrent aperiodic state of stochastic systems; tending in probability to a limiting form that is independent of the initial conditions
is similar to
lacking any definite plan or order or purpose; governed by or depending on chance
"a random choice"; "bombs fell at random"; "random movements"
domain category
a branch of applied mathematics concerned with the collection and interpretation of quantitative data and the use of probability theory to estimate population parameters