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:
“What will our children remember of us, ten, fifteen years from now? The mobile we bought or didn’t buy? Or the tone in our voices, the look in our eyes, the enthusiasm for life—and for them—that we felt? They, and we, will remember the spirit of things, not the letter. Those memories will go so deep that no one could measure it, capture it, bronze it, or put it in a scrapbook.”
—Sonia Taitz (20th century)