Unitary matrix integrals, symmetric polynomials, and long-range random walks
Unitary matrix integrals, symmetric polynomials, and long-range random walks
Unitary matrix integrals over symmetric polynomials play an important role in a wide variety of applications, including random matrix theory, gauge theory, number theory, and enumerative combinatorics. We derive novel results on such integrals and apply these and other identities to correlation functions of long-range random walks (LRRW) consisting of …