This talk is concerned with connections between arithmetic dynamics and complex dynamics. The first aim of the talk is to discuss several open problems from arithmetic dynamics and to explain how these problems are related to complex dynamical tool: bifurcation measures. If time allows, I will give a strategy to tackle several of those problems at the same time.

This is based on a joint work in progress with Gabriel Vigny and Johan Taflin.

This video is part of the Number Theory Web Seminar series.