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Gibbs Measures for infinite random graphs

Grant number: 17/25926-4
Support type:Scholarships in Brazil - Post-Doctorate
Effective date (Start): April 01, 2018
Effective date (End): 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
Home 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.