Computing Gaussian and exponential integrals in ${\mathbb{R}}^n$

Alexander Barvinok

We consider expectations of the type $E\exp \left\{{\sum }_{i=1}^m{\varphi }_i\right\}$, where ${\varphi }_i:{\mathbb{R}}^n⟶\mathbb{C}$ are functions, each depending on a few coordinates…