Perfect filtering and double disjointness

Hillel Furstenberg; Yuval Peres; Benjamin Weiss

Annales de l'I.H.P. Probabilités et statistiques (1995)

  • Volume: 31, Issue: 3, page 453-465
  • ISSN: 0246-0203

How to cite

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Furstenberg, Hillel, Peres, Yuval, and Weiss, Benjamin. "Perfect filtering and double disjointness." Annales de l'I.H.P. Probabilités et statistiques 31.3 (1995): 453-465. <http://eudml.org/doc/77517>.

@article{Furstenberg1995,
author = {Furstenberg, Hillel, Peres, Yuval, Weiss, Benjamin},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {stationary process; filter theory; ergodic theory; algorithmic problem of explicitly recovering},
language = {eng},
number = {3},
pages = {453-465},
publisher = {Gauthier-Villars},
title = {Perfect filtering and double disjointness},
url = {http://eudml.org/doc/77517},
volume = {31},
year = {1995},
}

TY - JOUR
AU - Furstenberg, Hillel
AU - Peres, Yuval
AU - Weiss, Benjamin
TI - Perfect filtering and double disjointness
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1995
PB - Gauthier-Villars
VL - 31
IS - 3
SP - 453
EP - 465
LA - eng
KW - stationary process; filter theory; ergodic theory; algorithmic problem of explicitly recovering
UR - http://eudml.org/doc/77517
ER -

References

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  1. [F] H. Furstenberg, Disjointness in ergodic theory, minimal sets, and a problem in Diophantine approximation, Math. systems theory, 1, 1967, pp. 1-49. Zbl0146.28502MR213508
  2. [FW] H. Furstenburg and B. Weiss, The finite multipliers of infinite ergodic transformations, Lecture Notes in Math. #668, Springer Verlag, 1977, pp. 127-132. Zbl0385.28009MR518553
  3. [GW] S. Glasner and B. Weiss, Processes disjoint from weak mixing, Trans. Amer. Math. Soc., 316, 1989, pp. 689-703. Zbl0696.28008MR946217
  4. [K] J.L. King, Ergodic properties where order 4 implies infinite order, preprint, 1991. MR1248927
  5. [P] K. Petersen, Ergodic theory, Cambridge University Press, 1983. Zbl0507.28010MR833286
  6. [R] D.J. Rudolph, An example of a measure preserving map with minimal self joinings and applications, J. d'Analyse Math., 35, 1979, pp. 98-122. Zbl0446.28018MR555301
  7. [S] Ja G. Sinai, A weak isomorphism of transformations with an invariant measure, Dokl. Akad. Nauk., USSR, 147, 1962, pp. 797-800. Zbl0205.13501MR161960
  8. [ST] M. Smorodinski and J.P. Thouvenot, Bernoulli factors that span a transformation, Israel J. of Math., 32, 1979, pp. 39-43. Zbl0394.28010MR531599

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