A nossa próxima palestra ocorrerá na quarta-feira, 25 de março, no horário das 15h às 16h30, Local: Laboratório de Sistemas Estocásticos (LSE), Sala I-044-B, Centro de Tecnologia - UFRJ.

Palestrante: Daniel Ungaretti (UFRJ)

Título: A Central Limit Theorem for intransitive dice

Resumo: Consider dice that are allowed to have different number of faces and any number on each face. Die A is said to be better than die B, denoted A ▷ B, if it has a larger probability of winning. This ordering of dice is not transitive: it is possible that A ▷ B ▷ C ▷ A. In this talk we present results on the probability of random dice (with i.i.d. faces) forming an intransitive chain, as the number of faces of each die goes to infinity. We prove a Central Limit Theorem for such dice, combining the method of moments with simple graph theory arguments.

Mais informações: https://ppge.im.ufrj.br/ciclo-de-palestras-primeiro-semestre-de-2026/

Organizadores: Carlos Zanini e Daniel Ungaretti