On the moments of the partition function of the CβE field

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Abstract / Description of output

We obtain a combinatorial formula for the positive integer moments of the partition function of the CβEN field, or equivalently the moments of the moments of the characteristic polynomial of the CβEN ensemble. We then use this formula to establish the large N asymptotics of these moments in the "moment-supercritical" regime. A key role is played by Jack polynomials.
Original languageEnglish
Number of pages22
JournalJournal of Statistical Physics
Publication statusAccepted/In press - 5 Mar 2022

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