6 citations · 6 across the 4 of their papers we have counts for
8 papers
On the rank-one limit sets for maps in the constant-Jacobian shear group of
Luka Boc Thaler
Let be the subgroup of generated by affine maps and shear automorphisms with constant Jacobian. We determine the possible conformal types of the…
Complex structures of non-autonomous basins
Luka Boc Thaler
We study non-autonomous basins of automorphisms of satisfying where . We s…
Spiral Domains and Lavaurs-Type Renormalization for Parabolic Germs of
Luka Boc Thaler
We study the local dynamics of holomorphic germs tangent to the identity whose 2-jet at the origin is . We prove th…
On the geometry of simply connected wandering domains
Luka Boc Thaler
We study the geometry of simply connected wandering domains for entire functions and we prove that every bounded connected regular open set, whose closure has a connected complemen…
Automorphisms of with bounded wandering domains
Luka Boc Thaler
We prove that the Euclidean ball can be realized as a Fatou component of a holomorphic automorphism of , in particular as the escaping and the oscillating wandering d…
Entire functions with prescribed singular values
Luka Boc Thaler
We introduce a new class of entire functions which consists of all for which there exists a sequence $(F_n)\in \mathcal{O}(\mathbb{C})…
A long without holomorphic functions
Luka Boc Thaler, Franc Forstneric
In this paper we construct for every integer a complex manifold of dimension which is exhausted by an increasing sequence of biholomorphic images of (i.e.,…
Reconstruction theorem for complex polynomials
Luka Boc Thaler
Recently Takens' Reconstruction Theorem was studied in the complex analytic setting by Fornæss and Peters \cite{FP}. They studied the real orbits of complex polynomials, and proved…