Vertex operators, infinite wedge representations, and correlation functions of the t-Schur measure

Gary Greaves, Naihuan Jing, Haoran Zhu

We study the $t$-Schur measure on partitions, defined by $\mathbb{P}(\lambda )=Z^{-1}{S}_{\lambda }(x;t)s_{\lambda }(y)$, where $S_{\lambda }(x;t)$ denotes the $t$-Schur symmetric functions and $s_{\lambda }(y)$ the ordinar…