We will discuss double-scaling asymptotics of Toeplitz determinants that display a 'phase-transition'. Close to the transition point the asymptotics are given in terms of Painleve functions. A typical example is the 2-spin correlation function in the 2D Ising model at the critical temperature. We will provide this and some other examples. The talk is based in part on the joint work with A.Its and T.Claeys.
Double-scaling asymptotics for Toeplitz determinants
Igor Krasovsky (Imperial)
Mon, 12/11/2012 - 16:30