Skip to main content Accessibility help
×
Home

Relatively Finitely Determined Implies Relatively Very Weak Bernoulli

  • M. Rahe (a1)

Extract

In the isomorphism theory of Bernoulli shifts, the or Hamming distance plays an important role. Two finite state stationary processes are close in the metric if, on the average, strings from one process can be matched with strings from the other process so that their outputs agree with high frequency. Since such agreement must hold in the arbitrarily distant future, it might at first seem difficult to control the pairing.

    • Send article to Kindle

      To send this article to your Kindle, first ensure no-reply@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about sending to your Kindle. Find out more about sending to your Kindle.

      Note you can select to send to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be sent to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

      Find out more about the Kindle Personal Document Service.

      Relatively Finitely Determined Implies Relatively Very Weak Bernoulli
      Available formats
      ×

      Send article to Dropbox

      To send this article to your Dropbox account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your <service> account. Find out more about sending content to Dropbox.

      Relatively Finitely Determined Implies Relatively Very Weak Bernoulli
      Available formats
      ×

      Send article to Google Drive

      To send this article to your Google Drive account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your <service> account. Find out more about sending content to Google Drive.

      Relatively Finitely Determined Implies Relatively Very Weak Bernoulli
      Available formats
      ×

Copyright

References

Hide All
1. Thouvenot, Jean-Paul, Quelques propriétés des systèmes dynamiques qui se décomposent en un produit de deux systèmes dont Vun est un schéma de Bernoulli, Israel J. Math. 21 (1975), 177207.
2. Ornstein, D. S. and Weiss, B., Finitely determined implies very weak Bernoulli, Israel J. Math. 17 (1974), 94104.
3. Ornstein, D. S., Ergodic theory, randomness, and dynamical systems (Yale Mathematical Monographs 5, New Haven, 1974).
4. Smorodinsky, M., Ergodic theory, entropy, Lecture Notes in Mathematics 214+ (Springer- Verlag, New York, 1971).
MathJax
MathJax is a JavaScript display engine for mathematics. For more information see http://www.mathjax.org.

Relatively Finitely Determined Implies Relatively Very Weak Bernoulli

  • M. Rahe (a1)

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed