Central Limit Theorem for $C\beta E$ Pair Dependent Statistics in Mesoscopic Regime
| Autor: | Aguirre, Ander, Soshnikov, Alexander |
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| Rok vydání: | 2021 |
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| Druh dokumentu: | Working Paper |
| Popis: | We extend our results on the fluctuation of the pair counting statistic of the Circular Beta Ensemble $\sum_{i\neq j}f(L_N(\theta_i-\theta_j))$ for arbitrary $\beta>0$ in the mesoscopic regime $L_N=O(N^{2/3-\epsilon})$. Comment: added results on bipartite statistics in Section 4 |
| Databáze: | arXiv |
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