Geodesic
Nongaussian Limit Distributions of Lacunary Trigonometric Series
Canadian journal of mathematics, Tome 43 (1991) no. 5, pp. 948-959

Voir la notice de l'article provenant de la source Cambridge University Press

It is a well known fact that for rapidly increasing nk the sequence , behaves like a sequence of independent random variables; in particular has a limiting Gaussian distribution as N → ∞. Under a certain critical speed this result breaks down and becomes strongly dependent. The purpose of this paper is to investigate the asymptotic behavior of normed sums in the strongly dependent domain; specifically, we construct a large class of nongaussian limit distributions of such sums. 
Berkes, I. Nongaussian Limit Distributions of Lacunary Trigonometric Series. Canadian journal of mathematics, Tome 43 (1991) no. 5, pp. 948-959. doi: 10.4153/CJM-1991-052-0
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