Title: Spatial Gibbs Random Graphs

Speaker: Andressa Cerqueira  (UFSCar)

Our next online seminar will be held next Monday, August 10, from 3 p.m. to 4 p.m. (Rio de Janeiro local time)

The GoogleMeet link for the seminars is HERE.

Abstract:  In this talk, I will present a Spatial Gibbs Random Graph Model on Z^2 that incorporates the interplay between the statistics of the graph and the underlying space where the vertices are located. For this model, we prove the existence and uniqueness of a measure defined on graphs with vertices in Z^2 as the limit along the measures over graphs with finite vertex set. I will explain how the results are obtained based on a graphical construction of the model as the invariant measure of a birth and death process. This is a joint work with Nancy Garcia.