Add to ORKGWe characterize invariant measures for quadratic polynomial Julia sets with no interior. We prove that besides the harmonic measure —the only one that is even and invariant—, all others are generated by a suitable odd measure
We prove that Julia sets are uniformly perfect in the sense of Pommerenke (Arch. Math. 32 (1979), 19...
AbstractSimple systems of invariants for rational and integral quadratic forms are given, and those ...
Abstract. Let G be a semigroup of rational functions of degree at least two, under composition of fu...
The no invariant line fields conjecture is one of the main outstanding problems in traditional compl...
This thesis describes the chaotic behavior of inner functions in the unit disk and in the upper half...
We consider complex polynomials f(z) = zℓ+c1 for ℓ ∈ 2ℕ and c1 ∈ ℝ and find some combinatorial types...
We construct Feigenbaum quadratic-like maps with a Julia set of positive Lebesgue measure. Indeed, i...
The class of the cubic-homogenous mappings with nonzero constant Jacobian determinant is interesting...
AbstractWe study the topology of the Julia set of a quadratic Cremer polynomial P. Our main tool is ...
. For a finitely generated rational semigroup G we establish the existence of a probability measure ...
In this paper we shall consider real polynomials with one (possibly degenerate) non-escaping critica...
Abstract. There is a natural conjecture that the universal bounds for the di-mension spectrum of har...
Abstract. The class of the cubic-homogenous mappings with nonzero con-stant Jacobian determinant is ...
In this work, we will study the geometric properties of Julia sets of the quadratic polynomial maps ...
For polynomials f on the complex plane with a dendrite Julia set we study invariant probability meas...
We prove that Julia sets are uniformly perfect in the sense of Pommerenke (Arch. Math. 32 (1979), 19...
AbstractSimple systems of invariants for rational and integral quadratic forms are given, and those ...
Abstract. Let G be a semigroup of rational functions of degree at least two, under composition of fu...
The no invariant line fields conjecture is one of the main outstanding problems in traditional compl...
This thesis describes the chaotic behavior of inner functions in the unit disk and in the upper half...
We consider complex polynomials f(z) = zℓ+c1 for ℓ ∈ 2ℕ and c1 ∈ ℝ and find some combinatorial types...
We construct Feigenbaum quadratic-like maps with a Julia set of positive Lebesgue measure. Indeed, i...
The class of the cubic-homogenous mappings with nonzero constant Jacobian determinant is interesting...
AbstractWe study the topology of the Julia set of a quadratic Cremer polynomial P. Our main tool is ...
. For a finitely generated rational semigroup G we establish the existence of a probability measure ...
In this paper we shall consider real polynomials with one (possibly degenerate) non-escaping critica...
Abstract. There is a natural conjecture that the universal bounds for the di-mension spectrum of har...
Abstract. The class of the cubic-homogenous mappings with nonzero con-stant Jacobian determinant is ...
In this work, we will study the geometric properties of Julia sets of the quadratic polynomial maps ...
For polynomials f on the complex plane with a dendrite Julia set we study invariant probability meas...
We prove that Julia sets are uniformly perfect in the sense of Pommerenke (Arch. Math. 32 (1979), 19...
AbstractSimple systems of invariants for rational and integral quadratic forms are given, and those ...
Abstract. Let G be a semigroup of rational functions of degree at least two, under composition of fu...