Definition talk:Ergodic Invariant Measure

The experts I meant are e.g. the researchers who have a special interest in minor topics. I think I just said too much. The answer to your initial question is, yes, in ergodic theory we have to suppose that the measures are probability measures. It does not make sense to consider infinite measures because the measures should describe the statistical properties.--Usagiop (talk) 15:52, 8 June 2022 (UTC)