Stochastic version of the Erdos-Renyi limit theorem

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We generalise the Erdos-Renyi limit theorem on the maximum of the partial sums of random variables to the case when the number of terms in these sums is randomly distributed. Certain relations between the limiting theorems of this type and the spectral theory of random graphs and random matrices are discussed.
LaTeX, 8 pages

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Probability, Spectral Theory, 60F99 (primary); 05C80, 15A52 (secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/61053

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0103043
 http://arxiv.org/abs/math/0103043

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arXiv