5 citations · 24 across the 26 of their papers we have counts for
29 papers
Generating all Ahlfors currents by a single entire curve
Yunling Chen, John Erik Fornæss, Song-Yan Xie
Let \(X\) be a compact complex manifold possessing the \emph{Runge approximation property on discs}, meaning that every holomorphic map from a closed disc into \(X\) is approximabl…
Orbits Inside Basins of Attraction of Skew Products
John Erik Fornaess, Mi Hu
A basic problem in complex dynamics is to understand orbits of holomorphic maps. One problem is to understand the collection of points in an attracting basin whose forward orbi…
Orbits inside Fatou sets
John Erik Fornaess, Mi Hu
In this paper, we investigate the precise behavior of orbits inside attracting basins of rational functions on and entire functions in . Let be…
Injective Hyperbolicity for quotients of balls and polydisks
John Erik Fornaess, Maria Trybula, Erlend Fornaess Wold
In this article we study the injective Kobayashi metric on complex surfaces.
Weighted version of Mergelyan and Carleman approximation
Séverine Biard, John Erik Fornæss, Jujie Wu
We study the density of polynomials in , the space of square integrable functions with respect to and holomorphic on the interior of in , where…
Dynamics of transcendental Hénon maps-II
Leandro Arosio, Anna Miriam Benini, John Erik Fornæss +1
Transcendental Hénon maps are the natural extensions of the well investigated complex polynomial Hénon maps to the much larger class of holomorphic automorphisms. We prove here tha…