Abstract
In an attempt to further classifyK-automorphism D. Ornstein suggested (orally) a stronger mixing property calledweak Bernoulli (together with N. Friedman he proved that if a generator has this property then the transformation is isomorphic to a Bernoulli shift). I show that in a Bernoulli shift there is a partition which is not weak Bernoulli. I use the following theorem: The shift on a regular stationary Gaussian process is isomorphic to a Bernoulli shift.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
