2 papers
math.DS2025
Topology of irrationally indifferent attractors
Davoud Cheraghi
We study the post-critical set of a class of holomorphic systems with an irrationally indifferent fixed point. We prove a trichotomy for the topology of the post-critical set based…
math.DS2024
Cubic Siegel polynomials and the bifurcation measure
Matthieu Astorg, Davoud Cheraghi, Arnaud Chéritat
We prove that cubic polynomial maps with a fixed Siegel disk and a critical orbit eventually landing inside that Siegel disk lie in the support of the bifurcation measure. This ans…