On the dependence of the zero-free region of a partition function on the external field

Alexander Barvinok

Let $\{0,1{\}}^n$ be the Boolean cube, endowed with the probability product measure, where $\mathbb{P}(1)=p$ and $\mathbb{P}(0)=q$ with $0<p\le q$ and $p+q=1$. For $i=1,\dots ,m$,…