Ornstein-Metivier-Brunel theorem revisited
Foguel, Shaul R. ; Ghoussoub, Nassif A.
Annales de l'I.H.P. Probabilités et statistiques, Tome 15 (1979), p. 293-301 / Harvested from Numdam
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Publié le : 1979-01-01
@article{AIHPB_1979__15_3_293_0,
     author = {Foguel, Shaul R. and Ghoussoub, Nassif A.},
     title = {Ornstein-Metivier-Brunel theorem revisited},
     journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
     volume = {15},
     year = {1979},
     pages = {293-301},
     mrnumber = {563740},
     zbl = {0431.60064},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIHPB_1979__15_3_293_0}
}

Foguel, Shaul R.; Ghoussoub, Nassif A. Ornstein-Metivier-Brunel theorem revisited. Annales de l'I.H.P. Probabilités et statistiques, Tome 15 (1979) pp. 293-301. http://gdmltest.u-ga.fr/item/AIHPB_1979__15_3_293_0/

[1] A. Brunel, New conditions for existence of invariant measures in ergodic theory. Lecture notes, Springer-Verlag, t. 160, 1970. | MR 268355 | Zbl 0211.20501

[2] A. Brunel, Chaines abstraites de Markov vérifiant une condition de Orey. Zeit. Wahrs. Gebiete, t. 19, 1971, p. 323-329. | MR 317410 | Zbl 0203.50305

[3] A. Brunel and D. Revuz, Quelques applications probabilistes de la quasi-compacite. Ann. Inst. Henri Poincaré, t. 10, 1974, p. 301-337. | Numdam | MR 373008 | Zbl 0318.60064

[4] P. Crepel, Fonctions spéciales pour des contractions de L1. Astérisque 4, 1973. | Zbl 0267.60072

[5] S.R. Foguel, The ergodic theory of Markov processes, Van Nostrand, 1969. | MR 261686 | Zbl 0282.60037

[6] S.R. Foguel, More on the Zero-two law. Proc. A. M. S., vol. 61, 1976, p. 262-264. | MR 428076 | Zbl 0356.47005

[7] N. Ghoussoub, Processus de Harris abstraits. Ann. Inst. Henri Poincaré, vol. XI, t. 4, 1975, p. 381-395. | Numdam | MR 402006 | Zbl 0333.60071

[8] S. Horowitz, Transition probabilities and contractions of L∞. Zeit. Wahr. Gebiete, t. 24, 1972, p. 263-274. | MR 331516 | Zbl 0228.60028

[9] M. Metivier, Existence of an invariant measure and an Ornstein's ergodic theorem. Annls of Math. Statistics, t. 40, 1969, p. 79-96. | MR 242246 | Zbl 0214.17102

[10] P.A. Meyer, Solutions de l'équation de Poisson dans le cas recurrent. Séminaire de probabilites V, 191, Springer-Verlag, 1971. | Numdam | MR 378115

[11] J. Neveu, Potentiel markovien recurrent des Chaines de Harris. Ann. Inst. Fourier. t. XXII, fase 2, 1972. | Numdam | MR 380992 | Zbl 0226.60084

[12] D.S. Ornstein, Random walks, I. II. T. A. M. S., t. 138, 1969, p. 1-60. | MR 238399 | Zbl 0181.44501

[13] D. Revuz, Markov Chains, North Holland Math Library, 1975. | MR 415773 | Zbl 0332.60045

[14] H.H. Shaeffer, Banach lattices and positive operators, Springer-Verlag, Heildelberg-New York, 1974. | Zbl 0296.47023