Geodesic
Large deviations in the central limit theorem for endomorphisms of Euclidean space
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 153 (2011) no. 1, pp. 195-210 Cet article a éte moissonné depuis la source Math-Net.Ru

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Let $W$ be such a nonsingular integer matrix that $|\operatorname{det}W|>1$; $f$ is a real-valued periodic for every argument Lipschitz-continuous function defined on the unit hypercube from $R^d$. For a sequence $(f(tW^n))$, we prove the central limit theorem with large deviations within the interval $[1;\mathrm o(n^{1/8}/\ln n)]$.
Keywords: limit theorem, endomorphisms, large deviations. 
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V. T. Dubrovin. Large deviations in the central limit theorem for endomorphisms of Euclidean space. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 153 (2011) no. 1, pp. 195-210. http://geodesic.mathdoc.fr/item/UZKU_2011_153_1_a15/

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