Theoretical and Computational Study of Random Cellular Automata and Their Applications

• Grant number: 24/18106-4
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: December 01, 2024
• End date: November 30, 2025
• Field of knowledge: Physical Sciences and Mathematics - Probability and Statistics - Probability
• Principal Investigator: Leonardo Trivellato Rolla
• Grantee: Matheus Rios Kunimura
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated research grant: 23/13453-5 - Stochastic systems modeling, AP.TEM

Abstract

Random cellular automata are models that combine the simplicity of cellular automata with the unpredictability of stochastic rules, allowing for the modeling of complex phenomena in biological, social, and physical systems. This project proposes the theoretical and computational study of these automata, exploring their emergent properties such as spatial patterns, phase transitions, and critical behavior. The goal is to investigate how random cellular automata can capture characteristic behaviors of interacting stochastic systems, with applications in epidemic dynamics, information propagation, and ecological systems.