تقرير
Central limit theorem for fluctuations of linear eigenvalue statistics of large random graphs. Diluted regime
| العنوان: | Central limit theorem for fluctuations of linear eigenvalue statistics of large random graphs. Diluted regime |
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| المؤلفون: | Shcherbina, Maria, Tirozzi, Brunello |
| سنة النشر: | 2011 |
| المجموعة: | Mathematics Mathematical Physics |
| مصطلحات موضوعية: | Mathematical Physics, Mathematics - Probability, 60B20, 15B52 |
| الوصف: | We study the linear eigenvalue statistics of large random graphs in the regimes when the mean number of edges for each vertex tends to infinity. We prove that for a rather wide class of test functions the fluctuations of linear eigenvalue statistics converges in distribution to a Gaussian random variable with zero mean and variance which coincides with "non gaussian" part of the Wigner ensemble variance. Comment: 19 pages |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1063/1.3698291 |
| URL الوصول: | http://arxiv.org/abs/1111.5492 |
| رقم الأكسشن: | edsarx.1111.5492 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1063/1.3698291 |
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