Central limit theorems, Lee-Yang zeros, and graph-counting polynomials

J. L. Lebowitz, B. Pittel, D. Ruelle +1

We consider the asymptotic normalcy of families of random variables $X$ which count the number of occupied sites in some large set. We write $Prob(X=m)=p_m{z}_0^m/P(z_0)$, where $P(z…