Banca de DEFESA: Marcelo Sousa Chaves

Uma banca de DEFESA de DOUTORADO foi cadastrada pelo programa.
STUDENT : Marcelo Sousa Chaves
DATE: 26/11/2020
TIME: 13:00
LOCAL: Videoconferência RNP
TITLE:

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KEY WORDS:

First-passage phenomena. Complex networks. Random walk.

PAGES: 109
BIG AREA: Outra
AREA: Multidisciplinar
SUMMARY:

The topological analysis of networks is an important field of study in Network Theory, with applications in various fields of science. In this study, we modified the topology of a square network, through the reconnections of its edges and obtained different types of networks: conservative random, nonconservative random and scale-free. Under certain conditions, the random and free-scale networks showed small world properties. We applied First Passage analysis tools to investigate the properties and characteristics of random walks in these networks. In the topologies investigated, we analyzed the First Passage Time (FPT) of a significant number of non-interacting random walkers, varying the departure and arrival sites. To characterize these processes, we applied the concept of first passage simultaneity, through the so-called Uniformity Index (UI), which is a measure of the probability that two independent walkers will arrive at the target site together. The UI allows to avaliate whether the average first passage time (TMPP) is a good measure for the process, and allows to identify networks with small world characteristics. The analysis of the sites occupation during a random walk allowed us to differentiate the different types of networks, in particular identify the small world properties, a topic that is still controversial in the literature.

BANKING MEMBERS:
Externo à Instituição - ALCIDES VOLPATO CARNEIRO DE CASTRO E SILVA - UFOP
Interno - ALLBENS ATMAN PICARDI FARIA
Interno - ARTHUR RODRIGO BOSCO DE MAGALHAES
Interno - JOSE LUIZ ACEBAL FERNANDES
Externo à Instituição - MARCELO MARTINS DE OLIVEIRA - UFSJ
Presidente - THIAGO GOMES DE MATTOS