22/06/2017 - Phase Transitions with Absorbing States in Complex Networks - Palestrante: Angélica Souza da Matta (UFL)

Seminário de Probabilidade e Sistemas Complexos

Palestrante: Angélica Souza da Matta (Universidade Federal de Lavras)

Local: Auditório Fávaro do ICMC.

Data e horário: 22 de junho de 2017 às 14h.

Título: Phase Transitions with Absorbing States in Complex Networks

Resumo: The present talk provides a short review of the modeling and theory of non-equilibrium dynamical systems on networks. A key class of non-equilibrium process are those that exhibit absorbing states, i.e. states from which the dynamics cannot escape once it has fallen onto them. A relevant feature of many systems with absorbing states is the absorbing-state phase transitions. This type of transition occurs in epidemic spreading processes. The susceptible-infected-susceptible (SIS) model and the contact process (CP) represent the simplest epidemic models possessing this feature. Thus, this seminar is devoted to review the SIS and CP models as examples to investigate absorbing phase transitions in complex networks. We firstly describe both epidemic models and, after we present distinct theoretical approaches devised for them. Finally we described the simulation techniques used to analyze both models numerically.