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Rélations entre la théorie des martingales et la théorie ergodique. (French) Zbl 0202.47202


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[1] [1] , Sur un lemme ergodique voisin du lemme de E. Hopf et sur une de ses applications, C. R. Acad. Sci., Paris, 256 (1963), 5681-5684. · Zbl 0117.10402
[2] [2] , An ergodic theorem for operators satisfying norm conditions, J. Math. Mech., 11 (1962), 165-172. · Zbl 0115.33804
[3] [3] and , A general ergodic theorem, Illinois J. Math., 4 (1960), 153-160. · Zbl 0134.12102
[4] [4] and , Convergence almost everywhere of operator averages, J. Rat. Mech. Anal., 5 (1956), 129-178. · Zbl 0075.12102
[5] [5] , Abstract ergodic theorems and weak almost periodic functions, Trans. Amer. Math. Soc., 67 (1949), 217-240. · Zbl 0034.06404
[6] [6] , The general temporally discrete Markov process, J. Rat. Mech. Anal., 3 (1954), 13-45. · Zbl 0055.36705
[7] [7] and , Abstract ergodic theorems, Trans. Amer. Math. Soc., 107 (1963), 107-124. · Zbl 0119.32701
[8] [8] , Sur le théorème ergodique ponctuel, C. R. Acad. Sci., Paris, 252 (1961), 1554-1556. · Zbl 0166.40403
[9] [9] , Bases mathématiques du calcul des Probabilités, Masson éd., Paris (1964). · Zbl 0137.11203
[10] [10] , Remarques sur la théorie des martingales, Zeitschrift für Wahrscheinlichkeitstheorie und ihre Anwendungen (1964). · Zbl 0131.16304
[11] [11] , Abstract martingale convergence theorems, Pacific J. Math., 11 (1961), 347-374. · Zbl 0114.07702
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