论文标题
在c $β$ e场的分区函数时刻
On the moments of the partition function of the C$β$E field
论文作者
论文摘要
我们获得了一个组合公式，用于$cβe_{n} $ field的分区函数的正整数矩，或等于$cβe_{n} $集合的特征多项式的矩。然后，我们使用此公式在“瞬间”制度中建立这些时刻的大$ n $渐近学。杰克多项式扮演着一个关键角色。
We obtain a combinatorial formula for the positive integer moments of the partition function of the $CβE_{N}$ field, or equivalently the moments of the moments of the characteristic polynomial of the $CβE_{N}$ 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.
