12 citations · 21 across the 6 of their papers we have counts for
7 papers
Critical locus for Hénon maps in an HOV region
Tanya Firsova, Remus Radu, Raluca Tanase
We prove that the characterization of the critical locus for complex Hénon maps that are small perturbations of quadratic polynomials with disconnected Julia sets given by Firsova…
Hedgehogs in higher dimensions and their applications
Mikhail Lyubich, Remus Radu, Raluca Tanase
In this paper we study the dynamics of germs of holomorphic diffeomorphisms of with a fixed point at the origin with exactly one neutral eigenvalue. We prove t…
Hedgehogs for neutral dissipative germs of holomorphic diffeomorphisms of
Tanya Firsova, Mikhail Lyubich, Remus Radu +1
We prove the existence of hedgehogs for germs of complex analytic diffeomorphisms of with a semi-neutral fixed point at the origin, using topological technique…
Renormalization and Siegel disks for complex Hénon maps
Denis Gaidashev, Remus Radu, Michael Yampolsky
We use hyperbolicity of golden-mean renormalization of dissipative Hénon-like maps to prove that the boundaries of Siegel disks of sufficiently dissipative quadratic complex Hénon…
A new proof of a theorem of Hubbard-Oberste-Vorth
Remus Radu, Raluca Tanase
We give a new proof of a theorem of Hubbard-Oberste-Vorth [HOV2] for Hénon maps that are perturbations of a hyperbolic polynomial and recover the Julia set inside a polydis…
Semi-parabolic tools for hyperbolic Hénon maps and continuity of Julia sets in
Remus Radu, Raluca Tanase
We prove some new continuity results for the Julia sets and of the complex Hénon map , where and are complex parameters. We look…
A structure theorem for semi-parabolic Hénon maps
Remus Radu, Raluca Tanase
Consider the parameter space of complex Hénon maps which have a semi-parabolic fixed point with…