Ergodic theorem for a Loeb space and hyperfinite approximations of dynamical systems

L. Yu. Glebsky, E. I. Gordon, C. W. Henson

Although the G.Birkhoff Ergodic Theorem (BET) is trivial for finite spaces, this does not help in proving it for hyperfinite Loeb spaces. The proof of the BET for this case, sugges…