Isomorphic random Bernoulli shifts

V. Gundlach; G. Ochs

Colloquium Mathematicae (2000)

  • Volume: 84/85, Issue: 2, page 327-344
  • ISSN: 0010-1354

Abstract

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We develop a relative isomorphism theory for random Bernoulli shifts by showing that any random Bernoulli shifts are relatively isomorphic if and only if they have the same fibre entropy. This allows the identification of random Bernoulli shifts with standard Bernoulli shifts.

How to cite

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Gundlach, V., and Ochs, G.. "Isomorphic random Bernoulli shifts." Colloquium Mathematicae 84/85.2 (2000): 327-344. <http://eudml.org/doc/210817>.

@article{Gundlach2000,
abstract = {We develop a relative isomorphism theory for random Bernoulli shifts by showing that any random Bernoulli shifts are relatively isomorphic if and only if they have the same fibre entropy. This allows the identification of random Bernoulli shifts with standard Bernoulli shifts.},
author = {Gundlach, V., Ochs, G.},
journal = {Colloquium Mathematicae},
keywords = {fibre entropy; random dynamical system; random shift; relative isomorphism; Bernoulli shifts},
language = {eng},
number = {2},
pages = {327-344},
title = {Isomorphic random Bernoulli shifts},
url = {http://eudml.org/doc/210817},
volume = {84/85},
year = {2000},
}

TY - JOUR
AU - Gundlach, V.
AU - Ochs, G.
TI - Isomorphic random Bernoulli shifts
JO - Colloquium Mathematicae
PY - 2000
VL - 84/85
IS - 2
SP - 327
EP - 344
AB - We develop a relative isomorphism theory for random Bernoulli shifts by showing that any random Bernoulli shifts are relatively isomorphic if and only if they have the same fibre entropy. This allows the identification of random Bernoulli shifts with standard Bernoulli shifts.
LA - eng
KW - fibre entropy; random dynamical system; random shift; relative isomorphism; Bernoulli shifts
UR - http://eudml.org/doc/210817
ER -

References

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  13. [Rah78] M. Rahe, Relatively finitely determined implies relatively very weak Bernoulli, Canad. J. Math. 30 (1978), 531-548. Zbl0394.28008
  14. [Shi77] P. Shields, Weak and very weak Bernoulli partitions, Monatsh. Math. 84 (1977), 133-142. Zbl0388.28017
  15. [Th75a] J.-P. Thouvenot, Quelques propriétés des systèmes dynamiques qui se décomposent en un produit de deux systèmes dont l'un est un schéma de Bernoulli, Israel J. Math. 21 (1975), 177-207. Zbl0329.28008
  16. [Th75b] J.-P. Thouvenot, Remarques sur les systèmes dynamiques donnés avec plusieurs facteurs, ibid., 215-232. Zbl0331.28012

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