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Volume 1 Ergodic Theory and Dynamical Systems |
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Part I Entropy Theory of Dynamical Systems |
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1 On the notion of entropy of a dynamical system, Dokl. Akad. Nauk SSSR, 124 (1959), 768-771; Translated by the Author |
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3 | (8) |
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2 Construction and properties of invariant measurable partitions, Dokl. Akad. Nauk. SSSR, 141 (1961), no. 5, 1038-1041; Translated in Soviet Math. Dokl.,, 2 (1961), no. 4-6, 1611-1614 |
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11 | (5) |
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3 Weak isomorphism of transformations with invariant measure, Mat. Sb. (N.S.). 63 (105) (1964), 23-42; Translated in Amer. Math. Soc. trasl. (2), 57 (1966), 123-149 |
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16 | (22) |
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4 Dynamical systems with countably-multiple Lebesgue spectrum. I., Izv. Akad. Nauk SSSR Ser. Mat., 25 (1961), 899-924; Translated in Amer. Math. Soc. transl. (2), 39 (1964), 83-110 |
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38 | (29) |
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5 Dynamical systems with countably-multiple lebesgue spectrum. II, Izv. Akad. Nauk SSSR Ser. Mat., 30 (1966), 15-68; Translated in Amer. Math. Soc. transl. (2), 68 (1968), 34-88 |
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67 | (60) |
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Part II Ergodic Theory and Number Theory |
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1 Renewal-type limit theorem for the Gauss map and continued fractions, Ergodic Theory Dyn. Syst., 28 (2008), no. 2, 643-655 |
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127 | (14) |
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2 A Limit Theorem for Birkhoff sums of non-integrable functions over rotations, Contemporary Mathematics, 469 (2008), 317-340 |
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141 | (25) |
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3 Mixing for some classes of special flows over rotations of the circle, Functional. Anal, i Prilozhen., 26 (1992), no. 3, 1-21, Translated in Funct. Anal. Appl., 26 (1992), no. 3, 155-169 |
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166 | (16) |
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4 Smoothness of conjugacies of diffeomorphisms of the circle with rotations, Uspekhi Mat. Nauk, 44 (1989), no. 1, 57-82, 247; Translated in Russian Math. Surveys, 44 (1989), no. 1, 66-99 |
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182 | (31) |
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5 Feigenbaum universality and the thermodynamic formalism, Uspekhi Mat. Nauk, 39 (1984), no. 3, 3-37; Translated in Russian Math. Surveys, 39 (1984), no. 3, 1-40 |
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213 | (44) |
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Part III The Theory of Hyperbolic Dynamical Systems: Markov Partitions and Thermodynamic Formalism |
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1 Markov Partitions and C-diffeomorphisms, Functional. Anal, i Prilozen., 2 (1968), no. 1, 64-89; Translated in Funct. Anal. Appl., 2 (1968), no. 1, 61-82 |
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257 | (23) |
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2 Gibbs measures in ergodic theory, Uspekhi Mat. Nauk, 27 (1972), no. 4 (166), 21-64; Translated in Russian Math. Surveys, 27 (1972), no. 4, 21-69 |
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280 | (48) |
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3 Gibbs measures for partially hyperbolic attractors, Ergodic Theory and Dyn. Syst., 2 (1982), no. 3-4, 417-438 |
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328 | (23) |
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4 Steady-state electrical conduction in the periodic Lorentz gas, Comm. Math. Phys., 154 (1993), no. 3, 569-601 |
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351 | (32) |
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5 Space-time chaos in the system of weakly interacting hyperbolic systems, J. Geom. Phys., 5 (1988), no. 3, 483-492 |
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383 | (14) |
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1 Dynamical systems with elastic reflections, Uspehi Mat. Nauk, 25 (1970), no. 2 (152), 141-192; Translated in Russian Math. Surveys, 25 (1970), no. 2, 137-189 |
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397 | (53) |
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2 On a fundamental theorem in the theory of dispersing billiards, Mat. Sb. (N.S.), 90 (132) (1973), 415-431; Translated in Math. USSR-Sb., 19 (1973), no. 3, 407-423 |
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450 | (18) |
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3 Ergodic properties of certain systems of two-dimensional discs and three-dimensional balls, Uspekhi Mat. Nauk, 42 (1987), no. 3, 153-174; Translated in Russian Math. Surveys, 42 (1987), no. 3, 181-207 |
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468 | (26) |
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4 Billiard trajectories in a polyhedral angle, Uspekhi Mat. Nauk, 33 (1978), no. 1 (199), 229-230; Translated in Russian Math. Surveys, 33 (1978), no. 1, 219-220 |
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494 | |