Mathematics of complex networks and applications

• Grant number: 18/18730-9
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: April 01, 2019
• End date: June 05, 2019
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Applied Mathematics
• Principal Investigator: Tiago Pereira da Silva
• Grantee: Tiago Pereira da Silva
• Visiting researcher: Ernesto Estrada Roger
• Visiting researcher institution: University of Strathclyde, Scotland
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Associated research grant: 13/07375-0 - CeMEAI - Center for Mathematical Sciences Applied to Industry, AP.CEPID

Abstract

The main aim of this project is to develop a mathematical theory for three key aspects of networks, namely, (i) embedding of networks in communicability space, (ii) generalization of random spatial networks to include shape variation, and (iii) mathematical theory of long-range interactions on networked systems. These include important aspects of dynamics on networks such as synchronization and collective transitions. We will apply the methodology developed in this project in the context of the FAPESP-CEPID CeMeai of industrial mathematics by means of the industrial mathematics study groups. (AU)