# Investigation of the two-cut phase region in the complex cubic ensemble of random matrices

@article{Barhoumi2022InvestigationOT,
title={Investigation of the two-cut phase region in the complex cubic ensemble of random matrices},
author={A. Barhoumi and Pavel Bleher and Alfredo Dea{\~n}o and Maxim L. Yattselev},
journal={Journal of Mathematical Physics},
year={2022}
}
• Published 30 January 2022
• Mathematics
• Journal of Mathematical Physics
We investigate the phase diagram of the complex cubic unitary ensemble of random matrices with the potential [Formula: see text], where t is a complex parameter. As proven in our previous paper [Bleher et al., J. Stat. Phys. 166, 784–827 (2017)], the whole phase space of the model, [Formula: see text], is partitioned into two phase regions, [Formula: see text] and [Formula: see text], such that in [Formula: see text] the equilibrium measure is supported by one Jordan arc (cut) and in [Formula…

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