The modified, discrete Lévy transformation is Bernoulli
Dubins, Lester E. ; Smorodinsky, Meir
Séminaire de probabilités de Strasbourg, Tome 26 (1992), p. 157-161 / Harvested from Numdam
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@article{SPS_1992__26__157_0,
     author = {Dubins, Lester E. and Smorodinsky, Meir},
     title = {The modified, discrete L\'evy transformation is Bernoulli},
     journal = {S\'eminaire de probabilit\'es de Strasbourg},
     volume = {26},
     year = {1992},
     pages = {157-161},
     mrnumber = {1231991},
     zbl = {0761.60043},
     language = {en},
     url = {http://dml.mathdoc.fr/item/SPS_1992__26__157_0}
}

Dubins, Lester E.; Smorodinsky, Meir. The modified, discrete Lévy transformation is Bernoulli. Séminaire de probabilités de Strasbourg, Tome 26 (1992) pp. 157-161. http://gdmltest.u-ga.fr/item/SPS_1992__26__157_0/

Doob, J.L., 1953. Stochastic Processes. John Wiley & Sons, Inc., New York. | Zbl 0053.26802

Levy, Paul, 1939. Sur certains processus stochastiques homogenes. Compositio Mathematica 7, 283-339. | JFM 65.1346.02 | Numdam | MR 919 | Zbl 0022.05903

Levy, Paul, 1948. Processus Stochastiques et Mouvement Brownien. Gauthier-Villars. | MR 29120 | Zbl 0034.22603

Kuratowski, K. 1966. Topology. Academic Press, New York and London. | MR 217751 | Zbl 0158.40802

Ornstein, Donald, 1974. Ergodic Theory, Randomness, and Dynamical Systems. Yale University Press. | MR 447525 | Zbl 0296.28016

Sinai, Ya.G. 1962. A Weak Isomorphism of Transformations Having an Invariant Measure. Dokl.Akad.Nauk. SSSR 147, 797-800. | MR 161960 | Zbl 0205.13501