E. H. Abdalaoui, A new class of rank-one transformations with singular spectrum, Ergodic Theory Dynam, Systems, vol.27, issue.5, pp.1541-1555, 2007.

E. H. Abdalaoui, M. Lema´nczyklema´nczyk, E. Lesigne, and C. Ulcigrai, Spectral disjointness in some class of rank one flows

I. Berkes, ?? ?????????????????????? ???????????? ???????? ?????????????? ?????? ???????? ???????????? ???????????????????????????????????? ??????????, Analysis Mathematica, vol.27, issue.3, pp.159-180, 1978.
DOI : 10.1007/BF01908987

J. Bourgain, On the spectral type of Ornstein class one transformations, Isr, J. Math, vol.84, pp.53-63, 1993.

R. V. Chacon, Approximation of transformations with continuous spectrum, Pacific Journal of Mathematics, vol.31, issue.2, pp.293-302, 1969.
DOI : 10.2140/pjm.1969.31.293

J. R. Choksi and M. G. Nadkarni, The maximal spectral type of a rank one transformation, Bulletin canadien de math??matiques, vol.37, issue.1, pp.29-36, 1994.
DOI : 10.4153/CMB-1994-005-4

I. P. Cornfeld, S. V. Fomin, and Y. G. Sina?isina?sina?i, Ergodic theory, Translated from the Russian by, Fundamental Principles of Mathematical Sciences], vol.245, 1982.

A. Del-junco and K. Park, An example of a measure-preserving flow with minimal self-joinings, Journal d???Analyse Math??matique, vol.35, issue.1, pp.199-209, 1982.
DOI : 10.1007/BF02786879

P. Erdös, On trigonometric sums with gaps, Magyar Tud. Akad. Mat. Kutató Int. Közl, vol.7, pp.37-42, 1962.

K. Fukuyama and S. Takahashi, The central limit theorem for lacunary series, Proc. Amer, pp.599-608, 1999.

N. A. Friedman, Replication and Stacking in Ergodic Theory, The American Mathematical Monthly, vol.99, issue.1, pp.31-34, 1992.
DOI : 10.2307/2324545

J. Kahane, Lacunary Taylor and Fourier series, Bulletin of the American Mathematical Society, vol.70, issue.2, pp.199-213, 1964.
DOI : 10.1090/S0002-9904-1964-11080-6

A. Katok and J. Thouvenot, Spectral Properties and Combinatorial Constructions in Ergodic Theory, Handbook of Dynamical Systems, 2006.
DOI : 10.1016/S1874-575X(06)80036-6

URL : https://hal.archives-ouvertes.fr/hal-00018593

A. Katok and &. A. Stepin, Approximations in ergodic theory. (Russian) Uspehi Mat, Nauk, vol.22, issue.5137, pp.81-106, 1967.

Y. Katznelson, An introduction to harmonic analysis, Third edition. Cambridge Mathematical Library, 2004.

I. Klemes, The spectral type of the staircase transformation, Tohoku Mathematical Journal, vol.48, issue.2, pp.247-258, 1994.
DOI : 10.2748/tmj/1178225379

I. Klemes and &. K. Reinhold, Rank one transformations with singular spectre type, Isr, J. Math, vol.98, pp.1-14, 1997.

D. L. Mcleish, Dependent Central Limit Theorems and Invariance Principles, The Annals of Probability, vol.2, issue.4, pp.620-628, 1974.
DOI : 10.1214/aop/1176996608

. Murai, The central limit theorem for trigonometric series, Nagoya Mathematical Journal, vol.7, pp.79-94, 1982.
DOI : 10.1090/S0002-9904-1964-11080-6

M. G. Nadkarni, Spectral theory of dynamical systems, 1998.
DOI : 10.1007/978-3-0348-8841-7

D. S. Ornstein, On the root problem in ergodic theory, Proc. Sixth Berkeley Symposium in Math. Statistics and Probability, pp.347-356, 1971.

B. Petit, Le th???or???me limite central pour des sommes de Riesz-Raikov, Probability Theory and Related Fields, vol.14, issue.4, pp.407-438, 1992.
DOI : 10.1007/BF01192715

J. Peyrì-ere, Etude de quelques propriétés des produits de Riesz, pp.127-169, 1975.

A. A. Prikhod-'ko, Stochastic constructions of flows of rank 1 12, 6192; translation in Sb, Mat. Sb. Math. Lecture Notes in Mathematics, vol.192, issue.1294, 2001.

V. Ryzhikhov, MIXING, RANK, AND MINIMAL SELF-JOINING OF ACTIONS WITH AN INVARIANT MEASURE, Russian Academy of Sciences. Sbornik Mathematics, vol.75, issue.2, pp.133-160, 1992.
DOI : 10.1070/SM1993v075n02ABEH003391

S. Takahashi, Probability limit theorems for trigonometric series Limit theorems of probability theory (Colloq, Colloq. Math. Soc. Janos Bolyai, vol.11, pp.381-397, 1974.

S. M. Ulam, Problems in modern mathematics, 1964.

M. Waldschmidt, Elliptic functions and transcendence, Surveys in number theory, Dev. Math, vol.17, 2008.

P. Zeitz, The centralizer of a rank-one flow, Israel Journal of Mathematics, vol.119, issue.1-2, pp.129-145, 1993.
DOI : 10.1007/BF02761695

A. Zygmund, Trigonometric series, 1959.