Analysis and inference of brain links using information theory and non-linear time...
Analysis and simulation of random walks and exclusion processes over graphs
Grant number: | 12/25219-2 |
Support Opportunities: | Scholarships in Brazil - Doctorate |
Start date: | May 01, 2013 |
End date: | November 30, 2017 |
Field of knowledge: | Physical Sciences and Mathematics - Physics - General Physics |
Principal Investigator: | Francisco Aparecido Rodrigues |
Grantee: | Guilherme Ferraz de Arruda |
Host Institution: | Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil |
Associated scholarship(s): | 15/07463-1 - Spreading processes on multilayer networks, BE.EP.DR |
Abstract Complex systems are composed of discrete parts that interact in a nonlinear manner. The analysis of such systems is of fundamental importance in the study of the brain, society, the Internet, the World Wide Web and food chains. Recent work has led to the description of the structure of such systems in detail when observed properties that are general to all these systems, including modular design and high level of heterogeneity in the distribution of the number of connections. However, to understand such systems, it is necessary to study dynamic processes that can be evaluated in their topologies. Despite advances in the modeling of dynamic processes, there is still a large field of research to be explored, since existing models are very simplified and the influence of structure on such dynamics has not been fully understood. In this project, we aimed to analyze and model dynamic processes in complex networks, including the spread of epidemics and rumors and synchronization of coupled oscillators. Such studies will enable a greater understanding of the influence of the structure of a network in such processes and the development of more accurate models. | |
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