Seminar Details
2023-09-26 (14h) : Reinforcement Models via Pólya Urns
At Euler building (room A.002)
Organized by Mathematical Engineering
Speaker :
Somya Singh (UCLouvain)
Abstract :
Classical Pólya urns have been widely used in the field of applied mathematics to model social and contagion networks. In this talk, I will illustrate three distinct random reinforcement models constructed via modified Pólya urns, through which an epidemic spread model, a consensus-achieving network of agents and a randomly growing preferential attachment graph is developed. The former two models are devised via interacting two-color finite memory Pólya urns, where the underlying draw process is Markovian in nature, while the latter is constructed via an expanding color Pólya urn.