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Mathematics of complex networks and applications

Grant number: 18/18730-9
Support type:Research Grants - Visiting Researcher Grant - International
Duration: April 01, 2019 - June 05, 2019
Field of knowledge:Physical Sciences and Mathematics - Mathematics
Principal Investigator:Tiago Pereira da Silva
Grantee:Tiago Pereira da Silva
Visiting researcher: Ernesto Estrada Roger
Visiting researcher institution: University of Strathclyde, Scotland
Home 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)

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