Geodesic
On~the metric theory of automorphisms of the two-dimensional torus
Izvestiya. Mathematics , Tome 18 (1982) no. 1, pp. 61-88

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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. 
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     author = {D. A. Moskvin},
     title = {On~the metric theory of automorphisms of the two-dimensional torus},
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D. A. Moskvin. On~the metric theory of automorphisms of the two-dimensional torus. Izvestiya. Mathematics , Tome 18 (1982) no. 1, pp. 61-88. http://geodesic.mathdoc.fr/item/IM2_1982_18_1_a3/