@article{BSMF_1993__121_1_117_0, author = {Kraaikamp, Cornelis}, title = {Maximal $S$-expansions are {Bernoulli} shifts}, journal = {Bulletin de la Soci\'et\'e Math\'ematique de France}, pages = {117--131}, publisher = {Soci\'et\'e math\'ematique de France}, volume = {121}, number = {1}, year = {1993}, doi = {10.24033/bsmf.2203}, mrnumber = {94h:11074}, zbl = {0795.11030}, language = {en}, url = {http://www.numdam.org/articles/10.24033/bsmf.2203/} }
TY - JOUR AU - Kraaikamp, Cornelis TI - Maximal $S$-expansions are Bernoulli shifts JO - Bulletin de la Société Mathématique de France PY - 1993 SP - 117 EP - 131 VL - 121 IS - 1 PB - Société mathématique de France UR - http://www.numdam.org/articles/10.24033/bsmf.2203/ DO - 10.24033/bsmf.2203 LA - en ID - BSMF_1993__121_1_117_0 ER -
%0 Journal Article %A Kraaikamp, Cornelis %T Maximal $S$-expansions are Bernoulli shifts %J Bulletin de la Société Mathématique de France %D 1993 %P 117-131 %V 121 %N 1 %I Société mathématique de France %U http://www.numdam.org/articles/10.24033/bsmf.2203/ %R 10.24033/bsmf.2203 %G en %F BSMF_1993__121_1_117_0
Kraaikamp, Cornelis. Maximal $S$-expansions are Bernoulli shifts. Bulletin de la Société Mathématique de France, Tome 121 (1993) no. 1, pp. 117-131. doi : 10.24033/bsmf.2203. http://www.numdam.org/articles/10.24033/bsmf.2203/
[B] Optimal Continued Fractions, Indag. Math., t. 50, 1988, p. 353-379. | Zbl
. -[BK1] Metrical Theory for Optimal Continued Fractions, J. Number Theory, t. 34, 1990, p. 251-270. | MR | Zbl
and . -[BK2] Optimal approximation by continued fractions, J. Austral. Math. Soc. Ser. A, t. 50, 1991, p. 481-504. | MR | Zbl
and . -[FO] On isomorphisms of weak Bernoulli transformations, Adv. in Math., t. 5, 1970, p. 365-394. | MR | Zbl
and . -[K1] A new class of continued fraction expansions, Acta Math., t. LVII, 1991, p. 1-39. | MR | Zbl
. -[K2] Statistic and ergodic properties of Minkowski's Diagonal Continued Fraction, Theoret. Comput. Sci., t. 65, 1989, p. 197-212. | MR | Zbl
. -[L] Question posed at the public defence of the dissertation of C. Kraaikamp, Amsterdam, 1990, April 23.
. -[NIT] On the invariant measure for the transformation associated with some real continued fraction, Keio Eng. Rep., t. 30, 1977, p. 159-175. | MR | Zbl
, and . -[N] Metrical theory for a class of continued fraction transformations and their natural extensions, Tokyo J. Math., t. 4, 1981, p. 399-426. | MR | Zbl
. -[OW] Statistical Properties of Chaotic Systems, Bull. Amer. Math. Soc., t. 24, 1991, p. 11-116. | MR | Zbl
and . -[R] Mischung und Ergodizität bei Kettenbrüchen nach nächsten Ganzen, J. Reine Angew. Math., t. 310, 1979, p. 171-181. | MR | Zbl
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