B1921
Title: Limit theorems and phase transitions in Tensor Curie-Weiss Ising and Potts Models
Authors: Somabha Mukherjee - National University of Singapore (Singapore) [presenting]
Abstract: The focus is on some recent developments in the area of statistical inference in p-spin/tensor Curie-Weiss Ising and Potts models, two well-known models in statistical physics that capture multi-body interactions. The results are characterized by surprising phase transition phenomena and limit theorems of the empirical magnetization on different regions of the parameter space, the existence of a critical curve in the interior of this space on which the estimators have mixture-limiting distributions and a surprising superefficiency phenomenon at the boundary point(s) of this critical curve. The efficiencies of two competing estimators in this framework are also briefly discussed.
