Special Session 110: Stochastic Dynamics

Sub-critical Exponential random graphs
Kyeongsik Nam
KAIST
Korea
Co-Author(s):    Shirshendu Ganguly; Kyeongsik Nam
Abstract:
The exponential random graph model (ERGM) is a central object in the study of canonical ensembles in statistical physics. Due to the lack of exact solvability, many basic questions have remained unanswered. In this talk, I will introduce a series of concentration of measure results for the ERGM throughout the entire sub-critical regime, including a Poincare inequality and Gaussian concentration.