Resumo: Eleições, especialmente em países grandes como o Brasil com um eleitorado da ordem de 100 milhões de pessoas, nos fornecem uma grande quantidade de informações a partir de bancos de dados disponíveis na Internet. Estes dados podem nos ajudar a entender como indivíduos interagem e influenciam uns aos outros. Neste seminário analisaremos extensivamente os dados de eleições brasileiras durante o período 1970-2014, que compreende dois regimes distintos: o regime militar e a fase de democracia. Através da distribuição estatística de votos dos candidatos a deputado e senador, faremos uma analise comparativa de diferentes eleições. A distribuição de votos apresenta um regime do tipo livre de escala com um expoente que não é universal, ou seja, ele varia com o tempo, e aparentemente é característico do eleitorado em questão. Iremos discutir também um modelo baseado em um sistema de equações diferenciais não-lineares acopladas com parâmetros estocásticos. Este modelo reproduz bem o comportamento dos dados observados e nos permite relacionar o expoente da distribuição de votos com as redes de interações sociais entre candidatos e eleitores, e entre os eleitores entre si.
Discussão
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