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@article{MMO_2013_74_1_a6, author = {V. V. Ryzhikov}, title = {Bounded ergodic constructions, disjointness, and weak limits of powers}, journal = {Trudy Moskovskogo matemati\v{c}eskogo ob\^{s}estva}, pages = {201--208}, publisher = {mathdoc}, volume = {74}, number = {1}, year = {2013}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/MMO_2013_74_1_a6/} }
V. V. Ryzhikov. Bounded ergodic constructions, disjointness, and weak limits of powers. Trudy Moskovskogo matematičeskogo obŝestva, Trudy Moskovskogo Matematicheskogo Obshchestva, Tome 74 (2013) no. 1, pp. 201-208. http://geodesic.mathdoc.fr/item/MMO_2013_74_1_a6/
[1] Furstenberg H., “Disjointness in ergodic theory, minimal sets, and a problem in Diophantine approximation”, Math. System Theory, 1 (1967), 1–49 | DOI | MR | Zbl
[2] Bourgain J., Sarnak P., Ziegler T., “Distjointness of Moebius from horocycle flows”, From Fourier analysis and number theory to Radon transforms and Geometry, Dev. Math., 28, Springer, New York, 2013, 67–83 | DOI | MR | Zbl
[3] Sarnak P., Three lectures on the Moebius Function randomness and dynamics, http://publications.ias.edu/sarnak/
[4] Bourgain J., On the correlation of the Moebius function with random rank-one systems, arXiv: 1112.1032
[5] Ryzhikov V. V., Minimal self-joinings, bounded constructions, and weak closure of ergodic actions, arXiv: 1212.2602
[6] Abdalaoui H., Lemanczyk M., De La Rue Th., On spectral disjointness of powers for rank-one transformations and Moebius orthogonality, arXiv: 1301.0134
[7] Ryzhikov V. V., “Prostoi spektr tenzornogo proizvedeniya stepenei peremeshivayuschego avtomorfizma”, Tr. MMO, 73, no. 2, 2012, 229–239 | Zbl
[8] Prikhodko A. A., “Polinomy Litlvuda i ikh prilozheniya k spektralnoi teorii dinamicheskikh sistem”, Matem. sb., 204:6 (2013), 135–160 | DOI | MR
[9] Ryzhikov V. V., “Spleteniya tenzornykh proizvedenii i stokhasticheskii tsentralizator dinamicheskikh sistem”, Matem. sb., 188:2 (1997), 67–94 | DOI | MR | Zbl
[10] Ageev O. N., “Spectral rigidity of group actions: applications to the case $\mathrm{gr}(t,s; ts=ts^2)$”, Proc. AMS, 134:5 (2006), 1331–1338 | DOI | MR | Zbl
[11] Danilenko A. I., “Weakly mixing rank-one transformations conjugate to their squares”, Studia Math., 187:1 (2008), 75–93 | DOI | MR | Zbl
[12] Ryzhikov V. V., “Cpektralnye kratnosti stepenei slabo peremeshivayuschego avtomorfizma”, Matem. sb., 203:7 (2012), 149–160 | DOI | MR | Zbl