2 problems

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The critical CβE moment-of-moments asymptotic conjecture
Critical CβE conjecture. Under these conditions,
Conjecturesolvedcircular-beta-ensemble critical-phenomena random-matrix-theoryarXiv posted 2 days ago
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Critical logarithmic growth conjecture for moments of moments in the circular beta ensemble
Let $\textnormal{MoM}_N^{(\beta)}(k;q)$ denote the $k$ -th moment of the partition-function moments for the circular beta ensemble. At moment-criticality … with $k>1$ and with…
Conjectureopencircular-beta-ensemble gaussian-multiplicative-chaos random-matrix-theoryarXiv posted 2 days ago

The critical CβE moment-of-moments asymptotic conjecture