The seminar is sponsored by NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai.
Abstract:
Quantum triviality refers to the phenomenon that an interacting lattice model converges to a free field in the scaling limit. This has been established for Ising and Phi^4 models, at or above their upper critical dimensions. We describe a simple spin model from uniform spanning forests in $\Z^d$ whose critical dimension is 4 and prove that the scaling limit is the bi-Laplacian Gaussian field for $d\ge 4$. At dimension 4, there is a logarithmic correction for the spin-spin correlation and the bi-Laplacian Gaussian field is a log correlated field. Based on joint works with Greg Lawler and Xin Sun.
Biography:
Wei Wu is currently a Global postdoctoral fellow at NYU Shanghai. His research interest includes probability theory and mathematical physics.