Ornstein-Metivier-Brunel theorem revisited

Shaul R. Foguel; Nassif A. Ghoussoub

Annales de l'I.H.P. Probabilités et statistiques (1979)

  • Volume: 15, Issue: 3, page 293-301
  • ISSN: 0246-0203

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Foguel, Shaul R., and Ghoussoub, Nassif A.. "Ornstein-Metivier-Brunel theorem revisited." Annales de l'I.H.P. Probabilités et statistiques 15.3 (1979): 293-301. <http://eudml.org/doc/77126>.

@article{Foguel1979,
author = {Foguel, Shaul R., Ghoussoub, Nassif A.},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {ergodic contraction; Harris process},
language = {eng},
number = {3},
pages = {293-301},
publisher = {Gauthier-Villars},
title = {Ornstein-Metivier-Brunel theorem revisited},
url = {http://eudml.org/doc/77126},
volume = {15},
year = {1979},
}

TY - JOUR
AU - Foguel, Shaul R.
AU - Ghoussoub, Nassif A.
TI - Ornstein-Metivier-Brunel theorem revisited
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1979
PB - Gauthier-Villars
VL - 15
IS - 3
SP - 293
EP - 301
LA - eng
KW - ergodic contraction; Harris process
UR - http://eudml.org/doc/77126
ER -

References

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  1. [1] A. Brunel, New conditions for existence of invariant measures in ergodic theory. Lecture notes, Springer-Verlag, t. 160, 1970. Zbl0211.20501MR268355
  2. [2] A. Brunel, Chaines abstraites de Markov vérifiant une condition de Orey. Zeit. Wahrs. Gebiete, t. 19, 1971, p. 323-329. Zbl0203.50305MR317410
  3. [3] A. Brunel and D. Revuz, Quelques applications probabilistes de la quasi-compacite. Ann. Inst. Henri Poincaré, t. 10, 1974, p. 301-337. Zbl0318.60064MR373008
  4. [4] P. Crepel, Fonctions spéciales pour des contractions de L1. Astérisque4, 1973. Zbl0267.60072
  5. [5] S.R. Foguel, The ergodic theory of Markov processes, Van Nostrand, 1969. Zbl0282.60037MR261686
  6. [6] S.R. Foguel, More on the Zero-two law. Proc. A. M. S., vol. 61, 1976, p. 262-264. Zbl0356.47005MR428076
  7. [7] N. Ghoussoub, Processus de Harris abstraits. Ann. Inst. Henri Poincaré, vol. XI, t. 4, 1975, p. 381-395. Zbl0333.60071MR402006
  8. [8] S. Horowitz, Transition probabilities and contractions of L∞. Zeit. Wahr. Gebiete, t. 24, 1972, p. 263-274. Zbl0228.60028MR331516
  9. [9] M. Metivier, Existence of an invariant measure and an Ornstein's ergodic theorem. Annls of Math. Statistics, t. 40, 1969, p. 79-96. Zbl0214.17102MR242246
  10. [10] P.A. Meyer, Solutions de l'équation de Poisson dans le cas recurrent. Séminaire de probabilitesV, 191, Springer-Verlag, 1971. MR378115
  11. [11] J. Neveu, Potentiel markovien recurrent des Chaines de Harris. Ann. Inst. Fourier. t. XXII, fase 2, 1972. Zbl0226.60084MR380992
  12. [12] D.S. Ornstein, Random walks, I. II. T. A. M. S., t. 138, 1969, p. 1-60. Zbl0181.44501MR238399
  13. [13] D. Revuz, Markov Chains, North Holland Math Library, 1975. Zbl0332.60045MR415773
  14. [14] H.H. Shaeffer, Banach lattices and positive operators, Springer-Verlag, Heildelberg-New York, 1974. Zbl0296.47023

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