A0605
Title: Limited theorems and phase transitions in tensor Curie-Weiss Ising and Potts models
Authors: Somabha Mukherjee - National University of Singapore (Singapore) [presenting]
Abstract: The purpose is to discuss some recent developments in the area of asymptotics of magnetization and the inverse temperature/magnetic field estimates in p-spin 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 super-efficiency phenomenon at the boundary point(s) of this critical curve.
