Space Average: If μ(X) is finite and nonzero, we can consider the space or phase average of ƒ:
(from http://en.wikipedia.org/wiki/Ergodic_theory#Ergodic_theorems)
But is it comparable to the time average?
Shouldn't the space average of f be compiled for a particular time, seeing that f is dependent on t (or T^k)? Or would the space average of f be equal for all values of time t?
(hmm, f is integrated and averaged across time, and then f is integrated and averaged across space...)