@article{AIHPB_1979__15_2_187_0, author = {Cabane, R.}, title = {Sur les transformations lin\'eaires modulo un}, journal = {Annales de l'institut Henri Poincar\'e. Section B. Calcul des probabilit\'es et statistiques}, pages = {187--193}, publisher = {Gauthier-Villars}, volume = {15}, number = {2}, year = {1979}, mrnumber = {548471}, zbl = {0414.28020}, language = {fr}, url = {http://archive.numdam.org/item/AIHPB_1979__15_2_187_0/} }
TY - JOUR AU - Cabane, R. TI - Sur les transformations linéaires modulo un JO - Annales de l'institut Henri Poincaré. Section B. Calcul des probabilités et statistiques PY - 1979 SP - 187 EP - 193 VL - 15 IS - 2 PB - Gauthier-Villars UR - http://archive.numdam.org/item/AIHPB_1979__15_2_187_0/ LA - fr ID - AIHPB_1979__15_2_187_0 ER -
%0 Journal Article %A Cabane, R. %T Sur les transformations linéaires modulo un %J Annales de l'institut Henri Poincaré. Section B. Calcul des probabilités et statistiques %D 1979 %P 187-193 %V 15 %N 2 %I Gauthier-Villars %U http://archive.numdam.org/item/AIHPB_1979__15_2_187_0/ %G fr %F AIHPB_1979__15_2_187_0
Cabane, R. Sur les transformations linéaires modulo un. Annales de l'institut Henri Poincaré. Section B. Calcul des probabilités et statistiques, Tome 15 (1979) no. 2, pp. 187-193. http://archive.numdam.org/item/AIHPB_1979__15_2_187_0/
[1] Representations for real numbers and their ergodic properties. Acta Math. Acad. Sci. Hungar, t. 8, 1957, p. 477-493. | MR | Zbl
,[2] Representations for real numbers. Acta. Math. Acad. Sci. Hungar., t. 15, 1964, p. 95-105. | MR | Zbl
,[3] β-automorphisms are Bernoulli. Acta. Math. Acad. Sci. Hungar., t. 24, 1973, p. 273-278. | MR | Zbl
,[4] Ergodic properties of certain linear modulo one transformations. Adv. in Math., t. 14, 1974, p. 64-72. | MR | Zbl
,[5] Bernoulli flows over maps of the interval. Israel Journal of Math., t. 31, 1978, p. 298-313. | MR | Zbl
,[6] On the existence of invariant measures for piecewise monotonic transformations. Trans. Amer. Math. Soc., t. 186, 1973, p. 481-488. | MR | Zbl
, ,[7] Invariant measures for piecewise monotonic transformations, 1975, Springer Lecture Notes 472, 77-94. | MR | Zbl
,[8] Some remarks about the invariant measures for piecewise monotonic transformations. Bull. Acad. Pol. Sci. Ser. Math., t. 25, n° 1, 1977, p. 7-12. | MR | Zbl
,[9] Bernoulli maps of the unit interval. Israel Journal of Math., t. 28, 1977, p. 161-168. | MR | Zbl
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