In this paper we prove the sharpness of connectivity bounds established in [15]. The proof depends on some facts in the theory of univalent polynomials. We also discuss applications to the equation r(z) = z̄ where r is a rational function. 1.1 Quadrature domain
The connectedness of the tongues of the double standard map family is shown by quasiconformal deform...
ABSTRACT. We show that the complement of a degree $d $ hypersurface in a pro-jective complete inters...
We study inequalities connecting the product of uniform norms of polynomials with the norm of their ...
We prove combinatorial rigidity of infinitely renormalizable unicritical polynomials, P_c :z mapsto ...
Abstract. We prove that any unicritical polynomial fc: z 7! zd + c which is at most nitely renormali...
AbstractFor a polynomial having a non-constant upper bound on an interval, we derive upper bounds va...
A holomorphic function on a planar domain Ω is said to possess a universal Taylor series about a poi...
Here we prove that infinitely renormalizable unicritical polynomials , with , satisfying a priori b...
AbstractWe prove that any finitely connected domain in the plane can be distorted so that it becomes...
This is a selection of facts, old and recent, about quadrature domains. The text, written in the for...
We highlight an intrinsic connection between classical quadrature domains and the well-studied theme...
The model of random interlacements on Zd, d ≥ 3, was recently introduced in [4]. A non-negative para...
The goal of Hilbert's tenth problem is to find an algorithm for deciding whether an arbitrary multiv...
The goal of Hilbert's tenth problem is to find an algorithm for deciding whether an arbitrary multiv...
The connectedness of the tongues of the double standard map family is shown by quasiconformal deform...
The connectedness of the tongues of the double standard map family is shown by quasiconformal deform...
ABSTRACT. We show that the complement of a degree $d $ hypersurface in a pro-jective complete inters...
We study inequalities connecting the product of uniform norms of polynomials with the norm of their ...
We prove combinatorial rigidity of infinitely renormalizable unicritical polynomials, P_c :z mapsto ...
Abstract. We prove that any unicritical polynomial fc: z 7! zd + c which is at most nitely renormali...
AbstractFor a polynomial having a non-constant upper bound on an interval, we derive upper bounds va...
A holomorphic function on a planar domain Ω is said to possess a universal Taylor series about a poi...
Here we prove that infinitely renormalizable unicritical polynomials , with , satisfying a priori b...
AbstractWe prove that any finitely connected domain in the plane can be distorted so that it becomes...
This is a selection of facts, old and recent, about quadrature domains. The text, written in the for...
We highlight an intrinsic connection between classical quadrature domains and the well-studied theme...
The model of random interlacements on Zd, d ≥ 3, was recently introduced in [4]. A non-negative para...
The goal of Hilbert's tenth problem is to find an algorithm for deciding whether an arbitrary multiv...
The goal of Hilbert's tenth problem is to find an algorithm for deciding whether an arbitrary multiv...
The connectedness of the tongues of the double standard map family is shown by quasiconformal deform...
The connectedness of the tongues of the double standard map family is shown by quasiconformal deform...
ABSTRACT. We show that the complement of a degree $d $ hypersurface in a pro-jective complete inters...
We study inequalities connecting the product of uniform norms of polynomials with the norm of their ...