@article{AIHPB_1994__30_3_353_0, author = {Lacey, Michael and Petersen, Karl and Wierdl, Mate and Rudolph, Dan}, title = {Random ergodic theorems with universally representative sequences}, journal = {Annales de l'I.H.P. Probabilit\'es et statistiques}, pages = {353--395}, publisher = {Gauthier-Villars}, volume = {30}, number = {3}, year = {1994}, mrnumber = {1288356}, zbl = {0813.28004}, language = {en}, url = {http://www.numdam.org/item/AIHPB_1994__30_3_353_0/} }
TY - JOUR AU - Lacey, Michael AU - Petersen, Karl AU - Wierdl, Mate AU - Rudolph, Dan TI - Random ergodic theorems with universally representative sequences JO - Annales de l'I.H.P. Probabilités et statistiques PY - 1994 SP - 353 EP - 395 VL - 30 IS - 3 PB - Gauthier-Villars UR - http://www.numdam.org/item/AIHPB_1994__30_3_353_0/ LA - en ID - AIHPB_1994__30_3_353_0 ER -
%0 Journal Article %A Lacey, Michael %A Petersen, Karl %A Wierdl, Mate %A Rudolph, Dan %T Random ergodic theorems with universally representative sequences %J Annales de l'I.H.P. Probabilités et statistiques %D 1994 %P 353-395 %V 30 %N 3 %I Gauthier-Villars %U http://www.numdam.org/item/AIHPB_1994__30_3_353_0/ %G en %F AIHPB_1994__30_3_353_0
Lacey, Michael; Petersen, Karl; Wierdl, Mate; Rudolph, Dan. Random ergodic theorems with universally representative sequences. Annales de l'I.H.P. Probabilités et statistiques, Tome 30 (1994) no. 3, pp. 353-395. http://www.numdam.org/item/AIHPB_1994__30_3_353_0/
[1] The weighted pointwise ergodic theorem and the individual ergodic theorem along subsequences, Trans. Amer. Math. Soc., 288, 1985, p. 307-345. | MR | Zbl
and ,[2] Almost everywhere convergence of weighted averages, Math. Ann., 293, 1992, p. 399-426. | EuDML | MR | Zbl
, and ,[3] Some results on non-linear recurrence, Preprint. | Zbl
, and ,[4] Probabilistic and deterministic averaging, Trans. Amer. Math. Soc., 269, 1982, p. 453-480. | MR | Zbl
and Ch. ,[5] On ergodic sequences of measures, Proc. Amer. Math. Soc., 51, 1975, p. 359-365. | MR | Zbl
and ,[6] On the maximal ergodic theorem for certain substets of the integers, Israel J. Math., 61, 1988, p. 39-72. | MR | Zbl
,[7] An approach to pointwise ergodic theorems, Springer Lecture Notes in Math., 1317, 1988, p. 204-223. | MR | Zbl
,[8] Return times of dynamical systems, appendix to Pointwise ergodic theorems for arithmetic sets, by J. Bourgain, Pub. Math. I.H.E.S., 69, 1989, p. 5-45. | EuDML | Numdam | MR | Zbl
, , and ,[9] Counterexamples in ergodic theory and number theory, Math. Ann., 245, 1979, p. 185-197. | MR | Zbl
and ,[10] Probability theory and examples, Wadsworth & Brooks/Cole, Belmont, CA, 1991, p. 394. | Zbl
,[11] Martingale limit theory and its applications, Academic Press, New York, 1980. | MR | Zbl
and ,[12] Subsequence ergodic theorems for LP contractions, Trans. Amer. Math. Soc., To appear. | MR | Zbl
, and ,[13] Examples of a.e. convergence and divergence of ergodic averages, Preprint. | MR
and ,[14] The average of the value of a function at random points, Israel J. Math., 15, 1973, p. 193-203. | MR | Zbl
,[15] Ergodic Theory, Cambridge University Press, Cambridge and New York, 1983 and 1989. | MR | Zbl
,[16] On a series of cosecants related to a problem in ergodic theory, Comp. Math., 26, 1973, p. 313-317. | Numdam | MR | Zbl
,[17] Pointwise ergodic theorem along the prime numbers, Israel J. Math., 64, 1988, p. 315-336. | MR | Zbl
,