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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…