Geodesic
On the multidimensional limit theorem for endomorphisms of the Euclidean space
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 157 (2015) no. 1, pp. 25-34

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Nearly optimal refinement of the earlier estimates of the convergence rate in the multidimensional central limit theorem for sums of functions of the trajectories of endomorphisms of the $s$-dimensional Euclidean space was performed. This was achieved through the use of asymptotic expansions for sums of independent random variables.
Mots-clés : endomorphism, torus, convergence rate.
Keywords: limit theorem 
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     author = {F. G. Gabbasov and V. T. Dubrovin and V. S. Kugurakov},
     title = {On the multidimensional limit theorem for endomorphisms of the {Euclidean} space},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
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     volume = {157},
     number = {1},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2015_157_1_a2/}
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F. G. Gabbasov; V. T. Dubrovin; V. S. Kugurakov. On the multidimensional limit theorem for endomorphisms of the Euclidean space. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 157 (2015) no. 1, pp. 25-34. http://geodesic.mathdoc.fr/item/UZKU_2015_157_1_a2/