In mathematics, an invariant measure is a measure that is preserved by some function. Ergodic theory is the study of invariant measures in dynamical systems. The Krylov–Bogolyubov theorem proves the existence of invariant measures under certain conditions on the function and space under consideration.
Read more about Invariant Measure: Definition, Examples
Famous quotes containing the word measure:
“REASON, is half of it, SENSE; and the measure of heaven itself is but the measure of our present appetites and concoctions.”
—Laurence Sterne (1713–1768)