English

Stochastic version of the Erdos-Renyi limit theorem

Probability 2007-05-23 v2 Spectral Theory

Abstract

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.

Keywords

Cite

@article{arxiv.math/0103043,
  title  = {Stochastic version of the Erdos-Renyi limit theorem},
  author = {A. Khorunzhy},
  journal= {arXiv preprint arXiv:math/0103043},
  year   = {2007}
}

Comments

LaTeX, 8 pages

R2 v1 2026-07-22T16:37:37.274Z