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Mathematics of the USSR-Izvestiya, 1982, Volume 18, Issue 1, Pages 61–88
DOI: https://doi.org/10.1070/IM1982v018n01ABEH001383 (Mi im1548) 		 
On the metric theory of automorphisms of the two-dimensional torus

D. A. Moskvin
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DOI: https://doi.org/10.1070/IM1982v018n01ABEH001383
Abstract: An estimate is made of the rate of convergence to the Gaussian law in the central limit theorem for ergodic automorphisms of the two-dimensional torus, and then the Lebesgue measure on the torus is replaced by linear Lebesgue measure along curves of an extensive class.
Bibliography: 14 titles.
Received: 07.02.1974
Revised: 14.08.1980
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1981, Volume 45, Issue 1, Pages 69–100
Bibliographic databases:
UDC: 511
MSC: Primary 28D05, 60F05, 10K10; Secondary 60G10
Language: English
Original paper language: Russian
Citation: D. A. Moskvin, “On the metric theory of automorphisms of the two-dimensional torus”, Izv. Akad. Nauk SSSR Ser. Mat., 45:1 (1981), 69–100; Math. USSR-Izv., 18:1 (1982), 61–88
Citation in format AMSBIB
\Bibitem{Mos81}
\by D.~A.~Moskvin
\paper On~the metric theory of automorphisms of the two-dimensional torus
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1981
\vol 45
\issue 1
\pages 69--100
\mathnet{http://mi.mathnet.ru/im1548}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=607577}
\zmath{https://zbmath.org/?q=an:0482.10046|0465.10043}
\transl
\jour Math. USSR-Izv.
\yr 1982
\vol 18
\issue 1
\pages 61--88
\crossref{https://doi.org/10.1070/IM1982v018n01ABEH001383}
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:261
    Russian version PDF:83
    English version PDF:4
    References:43
    First page:1
     
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