Noisy voter model with partial aging and anti-aging

Abstract

[eng] The noisy voter model is a stochastic binary state model where the agents evolve according to random noise and interactions with its neighbors. The addition of aging, as an individual property that makes the old agents less willing to interact, introduces interesting features. In particular, a second order phase transition appears. In this thesis we have focused on the presence of that phase transition. We characterize an alternative dynamics for the aging (anti-aging) , where old agents are prone to interact, checking that this phase transition is destroyed. We also characterize a system where agents with and without age coexist, checking that theoretically, the second order transition exists for any non-zero quantity of aged agents.