2 papers
math.CV2025
Iterated function systems of holomorphic maps
Marco Abate, Ian Short
We unify and advance a host of works on iterated function systems of holomorphic self-maps of hyperbolic Riemann surfaces. Our foremost result is a generalisation to left iterated…
math.CV2025
Parabolic dynamics according to Maurice Heins
Marco Abate
This paper, based upon an unpublished manuscript by Maurice Heins, answers a question posed by Valiron about the dynamics of parabolic self-maps of the unit disk in the complex pla…