Central Limit Theorems and Lee-Yang Zeros

Central Limit Theorems and Lee-Yang Zeros

-
Joel Lebowitz , Rutgers University
Fine Hall 322

I will describe some old and some new results (joint work with Pittel, Ruelle, Speer) on how to derive Central Limit Theorems and even Local Central Limit Theorems from information about the location of zeros of the generating function. Applications to the distribution of eigenvalues of random matrices, graph counting polynomials, and statistical mechanical systems will be given.