Frog model on random graph generated by Poisson point processes in R^d

• Grant number: 25/04134-9
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: November 01, 2025
• End date: October 31, 2026
• Field of knowledge: Physical Sciences and Mathematics - Probability and Statistics - Probability
• Principal Investigator: Nancy Lopes Garcia
• Grantee: Jaime Antonio Utria Valdes
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Associated research grant: 23/13453-5 - Stochastic Systems Modeling, AP.TEM

Abstract

In this project we seek to study the frog model on graphs generated by a point process in R^d.In particular, we will consider the frog model on the supercritical Gilbert graph obtainedfrom a homogeneous Poisson point process with intensity ¿¿ > 0 on Rd and we are interestedin establishing conditions that guarantee the existence of nontrivial phases depending on theparameters of the model.