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arXiv · 2010.10330

On the computation of density and two-point correlation functions of a class of random matrix ensembles

Kazi Alam·Swapnil Yadav·K. A. Muttalib
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Abstract

We demonstrate a method to solve a general class of random matrix ensembles numerically. The method is suitable for solving log-gas models with biorthogonal type two-body interactions and arbitrary potentials. We reproduce standard results for a variety of well-known ensembles and show some new results for the Muttalib-Borodin ensembles and recently introduced $\gamma$-ensemble for which analytic results are not yet available.

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Kazi Alam, Swapnil Yadav, K. A. Muttalib. 2020-10-18. On the computation of density and two-point correlation functions of a class of random matrix ensembles. https://arxiv.org/abs/2010.10330

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