Gibbs measures for infinite random graphs

• Grant number: 17/25926-4
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: April 01, 2018
• End date: January 12, 2020
• Field of knowledge: Physical Sciences and Mathematics - Probability and Statistics - Applied Probability and Statistics
• Principal Investigator: Nancy Lopes Garcia
• Grantee: Andressa Cerqueira
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Associated research grant: 13/07699-0 - Research, Innovation and Dissemination Center for Neuromathematics - NeuroMat, AP.CEPID
• Associated scholarship(s): 18/18115-2 - Statistical inference on networks, BE.EP.PD

Abstract

The objective of this project is to study a spatial network model with set of vertices given by a locally finite set of R^d. Our goal is the construction of an infinite volume Gibbs measure for which the probability of observing a graph is based on the graph's statistics (triangles, stars, vertices degree) and it penalizes edges between nodes that are very far apart.