Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

I want to construct a random dynamical system over a metric space. To construct the metric space I require that the transformation be measure preserving. If I want my random mappings to be chosen according to an independent but non-identical distribution, is this still possible?

I.e. will the shift transformation on the canonically defined metric DS still have a measure preserving property?

share|improve this question

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.