For the q-Al-Salam-Carlitz unitary ensemble with a<0, the authors derive explicit spectral moments and a limiting density with two soft-to-hard edge phase transitions.
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Spectral analysis of $q$-deformed unitary ensembles with the Al-Salam--Carlitz weight
For the q-Al-Salam-Carlitz unitary ensemble with a<0, the authors derive explicit spectral moments and a limiting density with two soft-to-hard edge phase transitions.