Title: Stationary Random Entire Functions in High Dimensions

Abstract: A translation $T_w$ is the action of translating an entire function by $w$, defined by $(T_w f)(z) = f(z+w)$. In 1996, B. Weiss demonstrated an abundance of translation-invariant probability measures on the space of entire functions. In this talk, we extend this result to holomorphic functions on $\mathbb{C}^d$ for any $d \ge 1$, answering a question posed by T-C. Dinh and N. Sibony in 2018. This talk is based on joint work with B. Weiss.