Some spatial processes with contact dynamics and generalizations

• Grant number: 25/02013-0
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: April 01, 2025
• End date: March 31, 2027
• Field of knowledge: Physical Sciences and Mathematics - Probability and Statistics - Probability
• Principal Investigator: Nancy Lopes Garcia
• Grantee: Denis Araujo Luiz
• 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

We will study and characterize the phase-transition for the contact process with non-exponential recovery times, in particular, the case when the recovery times are deterministic. Moreover, we will study non-Markovian rumor spreading models on non-complete graphs, in order to obtain limit theorems.