Universality and Phase Transitions in Low Moments of Secular Coefficients of Critical Holomorphic Multiplicative Chaos

Haotian Gu, Zhenyuan Zhang

We investigate the low moments $\mathbb{E}[|A_N{|}^{2q}],0<q\le 1$ of {secular coefficients} $A_N$ of the {critical non-Gaussian holomorphic multiplicative chaos}, i.e. coefficient…