Year: 2026
Type: preprint
Abstract: We determine the first correction to the leading Vandermonde fusion law for the correlation functions of the Sine$*β$ process in the critical and and subcritical regimes $mβ\leq1$. When $mβ<1$, the normalized correction is of order $|\varepsilon|^{1+mβ}$, with a strictly negative coefficient given by an explicit gamma-function ratio times an absolutely convergent arithmetic-geometric mean deficit integral. At $mβ=1$, it is $-\frac{\sum*{i
Source: arXiv (Cornell University)
Author: Fang, Weiyang
Language: English
Subfield: Statistics and Probability
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7212032891