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most citedCentral limit theorem for linear eigenvalue statistics of random matrices with independent entries

274 citations

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nlin.CD2005★ 12 cited

Statistics of a noise-driven Manakov soliton

S. A. Derevyanko, J. E. Prilepsky, D. A. Yakushev

We investigate the statistics of a vector Manakov soliton in the presence of additive Gaussian white noise. The adiabatic perturbation theory for Manakov soliton yields a stochasti…

nlin.CD2004★ 2 cited

Statistics of noise-driven coupled nonlinear oscillators: applications to systems with Kerr nonlinearity

J. E. Prilepsky, S. A. Derevyanko

We present exact analytical results for the statistics of nonlinear coupled oscillators under the influence of additive white noise. We suggest a perturbative approach for analysin…