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On the extreme value statistics of normal random matrices and 2D Coulomb gases: Universality and finite<i>N</i>corrections

On the extreme value statistics of normal random matrices and 2D Coulomb gases: Universality and finite<i>N</i>corrections

In this paper we extend the orthogonal polynomials approach for extreme value calculations of Hermitian random matrices, developed by Nadal and Majumdar (J. Stat. Mech. P04001 arXiv:1102.0738), to normal random matrices and 2D Coulomb gases in general. Firstly, we show that this approach provides an alternative derivation of results in …