13 citations · 37 across the 23 of their papers we have counts for
15 papers · 1 filter
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…
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…
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…
Introduction to Fatou components in holomorphic dynamics
Xavier Buff, Jasmin Raissy
This survey is an introduction to the classification of Fatou components in holomorphic dynamics. We start with the description of the Fatou and Julia sets for rational maps of the…
Entire or rational maps with integer multipliers
Xavier Buff, Thomas Gauthier, Valentin Huguin +1
Let be the ring of integers of an imaginary quadratic field . Recently, Ji and Xie proved that every rational map $f \colon \widehat{\mathbb{C}} \rightarrow \w…
Stable manifolds of two-dimensional biholomorphisms asymptotic to formal curves
Lorena López-Hernanz, Jasmin Raissy, Javier Ribón +1
Let be a germ of a holomorphic diffeomorphism and let be an invariant formal curve of . Assume that the restricted diffeomorphism …