Multiple return times theorems for weakly mixing systems

I. Assani

Annales de l'I.H.P. Probabilités et statistiques (2000)

  • Volume: 36, Issue: 2, page 153-165
  • ISSN: 0246-0203

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Assani, I.. "Multiple return times theorems for weakly mixing systems." Annales de l'I.H.P. Probabilités et statistiques 36.2 (2000): 153-165. <http://eudml.org/doc/77654>.

@article{Assani2000,
author = {Assani, I.},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {ergodic dynamical system; weakly mixing systems},
language = {eng},
number = {2},
pages = {153-165},
publisher = {Gauthier-Villars},
title = {Multiple return times theorems for weakly mixing systems},
url = {http://eudml.org/doc/77654},
volume = {36},
year = {2000},
}

TY - JOUR
AU - Assani, I.
TI - Multiple return times theorems for weakly mixing systems
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 2000
PB - Gauthier-Villars
VL - 36
IS - 2
SP - 153
EP - 165
LA - eng
KW - ergodic dynamical system; weakly mixing systems
UR - http://eudml.org/doc/77654
ER -

References

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  1. [1] Assani I., A double return times ergodic theorem, Preprint, 1997. MR1162395
  2. [2] Assani I., Strong laws for weighted sums of iid random variables, Duke Math. J.88 (1997) 217-246. Zbl0883.60023MR1455518
  3. [3] Assani I., Multiple recurrence and almost sure convergence for weakly mixing dynamical systems, Israel J. Math.103 (1998) 111-124. Zbl0920.28011MR1613556
  4. [4] Bourgain J., Return times sequences of dynamical systems, Preprint, IHES, March 1988. MR939436
  5. [5] Bourgain J., Double recurrence and almost sure convergence, J. für die Reine und Angewandte Math.404 (1990) 140-161. Zbl0685.28008MR1037434
  6. [6] Bourgain J., Furstenberg H., Katznelson Y., Ornstein D., Appendix to J. Bourgain, Pointwise Ergodic Theorems for Arithmetic Sets, IHES, 1989. Zbl0705.28008MR1019960
  7. [7] Bellow A., Losert V., The weighted pointwise ergodic theorem and the individual ergodic theorem along subsequences, Trans. Amer. Math. Soc.288, 307-345. Zbl0619.47004MR773063
  8. [8] Furstenberg H., Recurrence in Ergodic Theory and Combinatorial Number Theory, Princeton University Press, Princeton, NJ, 1981. Zbl0459.28023MR603625
  9. [9] Host B., Mixing of all orders and pairwise independent joinings of systems with singular spectrum, Israel J. Math.76 (1991) 289-298. Zbl0790.28010MR1177346
  10. [10] Lesigne E., Sur la convergence ponctuelle de certaines moyennes ergodiques, Comptes Rendus de l'Académie des Sciences298 (1984) 425-428. Zbl0579.60024MR765266
  11. [11] Rudolph D., Fully generic sequences and a multiple term return times theorem, Invent. Math.131 (1998) 199-228. Zbl0910.28013MR1489899

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