3 papers
math.DS2026
Parabolic implosion in dimension 2
Matthieu Astorg, Lorena López-Hernanz, Jasmin Raissy
In this paper, we extend the theory of parabolic implosion in complex dimension 2 to the case of holomorphic maps tangent to the identity at order 2. We investigate the bifurcation…
math.DS2026
Non-bulging Fatou components for transcendental skew-products
Tom Potthink, Jasmin Raissy
In this paper, we investigate the bulging of escaping or oscillating Fatou components on invariant fibers for general skew-products, with a focus on the dependence on the perturbat…
math.DS2025
Non-bulging Baker domains for transcendental skew products
Anna Miriam Benini, Tom Potthink, Jasmin Raissy
In this paper we show that Baker domains of transcendental skew products can either bulge or not, depending on the higher order terms. This is in contrast to polynomial skew produc…