Natural Extensions and Mixing for Semi-Group Actions
Publications de l'Institut de recherche mathématiques de Rennes, Fascicule de probabilités, no. 2 (1995), article no. 7, 10 p. 
@article{PSMIR_1995___2_A7_0,
     author = {Lacroix, Y.},
     title = {Natural {Extensions} and {Mixing} for {Semi-Group} {Actions}},
     journal = {Publications de l'Institut de recherche math\'ematiques de Rennes},
     eid = {7},
     pages = {1--10},
     publisher = {D\'epartement de Math\'ematiques et Informatique, Universit\'e de Rennes},
     number = {2},
     year = {1995},
     language = {en},
     url = {http://www.numdam.org/item/PSMIR_1995___2_A7_0/}
}
TY  - JOUR
AU  - Lacroix, Y.
TI  - Natural Extensions and Mixing for Semi-Group Actions
JO  - Publications de l'Institut de recherche mathématiques de Rennes
PY  - 1995
SP  - 1
EP  - 10
IS  - 2
PB  - Département de Mathématiques et Informatique, Université de Rennes
UR  - http://www.numdam.org/item/PSMIR_1995___2_A7_0/
LA  - en
ID  - PSMIR_1995___2_A7_0
ER  - 
%0 Journal Article
%A Lacroix, Y.
%T Natural Extensions and Mixing for Semi-Group Actions
%J Publications de l'Institut de recherche mathématiques de Rennes
%D 1995
%P 1-10
%N 2
%I Département de Mathématiques et Informatique, Université de Rennes
%U http://www.numdam.org/item/PSMIR_1995___2_A7_0/
%G en
%F PSMIR_1995___2_A7_0
Lacroix, Y. Natural Extensions and Mixing for Semi-Group Actions. Publications de l'Institut de recherche mathématiques de Rennes, Fascicule de probabilités, no. 2 (1995), article  no. 7, 10 p. http://www.numdam.org/item/PSMIR_1995___2_A7_0/

[A-N] Asmar, N. and Nair, R., Certain averages on the a-adic integers, Proc. A.M.S. 114 (1992), 21-28. | MR | Zbl

[Bo1] Bourgain, J., Pointwise ergodic theorems for arithmetic sets, Publ. Math. I.H.E.S. 69 (1989), 5-45. | Numdam | MR | Zbl

[Bo2] Bourgain, J., Almost sure convergence in ergodic theory, Proc. International Conf. on a.e. convergence in probability and ergodic theory, vol. 74, Academic Press, 1989, pp. 145-153. | MR | Zbl

[C-F-S] Cornfeld, I.P., Fomin, S.V. & Sinai, Y.G., Ergodic theory, Grund. math. wissen. 245, Springer Verlag, Berlin, Heidelberg, New York, 1982. | MR | Zbl

[H] Halmos, P.R., Ergodic theory, Chelsea Publishing Company, New York, 1956. | Zbl

[H-R] Hewitt, E. & Ross, K.A., Abstract harmonic analysis, I, Math. Wissen. Band 115, Springer Verlag, Berlin Göttingen Heidelberg, 1963. | MR | Zbl

[K] Krengel, U., Ergodic theorems, De Gruyter Studies in Mathematics, 6, Berlin, New York, 1985. | MR | Zbl

[K-S] Kitchens, B. & Schmidt, K., Automorphisms of compact groups, E.T.D.S. 9 (1989), 691-735. | MR | Zbl