The Pascal adic transformation is loosely Bernoulli

Élise Janvresse; Thierry de La Rue

Annales de l'I.H.P. Probabilités et statistiques (2004)

  • Volume: 40, Issue: 2, page 133-139
  • ISSN: 0246-0203

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Janvresse, Élise, and de La Rue, Thierry. "The Pascal adic transformation is loosely Bernoulli." Annales de l'I.H.P. Probabilités et statistiques 40.2 (2004): 133-139. <http://eudml.org/doc/77802>.

@article{Janvresse2004,
author = {Janvresse, Élise, de La Rue, Thierry},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {adic transformation; loosely Bernoulli systems},
language = {eng},
number = {2},
pages = {133-139},
publisher = {Elsevier},
title = {The Pascal adic transformation is loosely Bernoulli},
url = {http://eudml.org/doc/77802},
volume = {40},
year = {2004},
}

TY - JOUR
AU - Janvresse, Élise
AU - de La Rue, Thierry
TI - The Pascal adic transformation is loosely Bernoulli
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 2004
PB - Elsevier
VL - 40
IS - 2
SP - 133
EP - 139
LA - eng
KW - adic transformation; loosely Bernoulli systems
UR - http://eudml.org/doc/77802
ER -

References

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  1. [1] J. Feldman, New K-automorphisms and a problem of Kakutani, Israel J. Math.24 (1976) 16-38. Zbl0336.28003MR409763
  2. [2] X. Méla, Dynamical properties of the Pascal adic and related systems, PhD Thesis, Chapel Hill, 2002. 
  3. [3] D.S. Ornstein, D.J. Rudolph, B. Weiss, Equivalence of Measure Preserving Transformations, Memoirs of the American Mathematical Society, vol. 262, 1982. Zbl0504.28019MR653094
  4. [4] A.M. Vershik, A theorem on the Markov approximation in ergodic theory, J. Soviet Math.28 (1985) 667-674. Zbl0559.47006
  5. [5] A.M. Vershik, A.N. Livshits, Adic models of ergodic transformations, spectral theory, substitutions, and related topics, in: Representation Theory and Dynamical Systems, Adv. Soviet Math., vol. 9, Amer. Math. Society, Providence, RI, 1992, pp. 185-204. Zbl0770.28013MR1166202

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