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This article is cited in 14 scientific papers (total in 16 papers)
On a weak isomorphism of transformations with invariant measure
Ya. G. Sinai
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Received: 19.10.1962
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Ya. G. Sinai, “On a weak isomorphism of transformations with invariant measure”, Mat. Sb. (N.S.), 63(105):1 (1964), 23–42
Citation in format AMSBIB
\Bibitem{Sin64}
\by Ya.~G.~Sinai
\paper On a weak isomorphism of transformations with invariant measure
\jour Mat. Sb. (N.S.)
\yr 1964
\vol 63(105)
\issue 1
\pages 23--42
\mathnet{http://mi.mathnet.ru/msb4401}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=161961}
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V. A. Rokhlin, “Lectures on the entropy theory of measure-preserving transformations”, Russian Math. Surveys, 22:5 (1967), 1–52
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A. B. Katok, “Monotone equivalence in ergodic theory”, Math. USSR-Izv., 11:1 (1977), 99–146
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V. M. Alekseev, “Final motions in the three-body problem and symbolic dynamics”, Russian Math. Surveys, 36:4 (1981), 181–200
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V. V. Ryzhikov, “Mixing, rank, and minimal self-joining of actions with an invariant measure”, Russian Acad. Sci. Sb. Math., 75:2 (1993), 405–427
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V. V. Ryzhikov, “Joinings and Multiple Mixing of Finite Rank Actions”, Funct. Anal. Appl., 27:2 (1993), 128–140
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S. P. Novikov, L. A. Bunimovich, A. M. Vershik, B. M. Gurevich, E. I. Dinaburg, G. A. Margulis, V. I. Oseledets, S. A. Pirogov, K. M. Khanin, N. N. Chentsova, “Yakov Grigor'evich Sinai (on his sixtieth birthday)”, Russian Math. Surveys, 51:4 (1996), 765–778
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E. A. Verbitskii, F. Takens, “Generalized entropies”, Math. Notes, 63:1 (1998), 112–115
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S. V. Tikhonov, “O svyazi metricheskikh i spektralnykh svoistv $\mathbb{Z}^{d}$-deistvii”, Fundament. i prikl. matem., 8:4 (2002), 1179–1192
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A. G. Kachurovskii, “The entropy brick of an automorphism of a Lebesgue space”, Math. Notes, 80:6 (2006), 885–887
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V. V. Ryzhikov, “Pairwise $\varepsilon$-Independence of the Sets $T^iA$ for a Mixing Transformation $T$”, Funct. Anal. Appl., 43:2 (2009), 155–157
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A. I. Bashtanov, “Property of almost independent images for ergodic transformations without partial rigidity”, Proc. Steklov Inst. Math., 271 (2010), 23–33
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S. V. Tikhonov, “A Note on Rochlin's Property in the Space of Mixing Transformations”, Math. Notes, 90:6 (2011), 925–926
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L. I. Rodina, “Invariantnye i statisticheski slabo invariantnye mnozhestva upravlyaemykh sistem”, Izv. IMI UdGU, 2012, no. 2(40), 3–164
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A. I. Bufetov, B. M. Gurevich, K. M. Khanin, F. Cellarosi, “The Abel Prize award to Ya. G. Sinai”, Russian Math. Surveys, 69:5 (2014), 931–956
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B. M. Gurevich, “Toward the history of dynamical entropy: comparing two definitions”, J. Math. Sci. (N. Y.), 215:6 (2016), 693–699
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B. M. Gurevich, “Affinity of the Arov Entropy”, Funct. Anal. Appl., 52:3 (2018), 178–185
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