In this paper, we investigate the boundary of the escaping set I(f) for quasiregular mappings on R(n), both in the uniformly quasiregular case and in the polynomial type case. The aim is to show that partial derivative I(f) is the Julia set J(f) when the latter is defined, and shares properties with the Julia set when J(f) is not defined
Let f and g be two quasiregular maps in that are of transcendental type and also satisfy . We show t...
We investigate local dynamics of uniformly quasiregular mappings, give new examples and show in part...
We define a quasi-Fatou component of a quasiregular map as a connected component of the complement o...
In this paper, we investigate the boundary of the escaping set I(f) for quasiregular mappings on ℝn,...
We show that if the maximum modulus of a quasiregular mapping f=Rn - Rn grows sufficiently rapidly,...
The Fatou-Julia iteration theory of rational and transcendental entire functions has recently been e...
The work in this thesis revolves around the study of dynamical systems arising from iterating quasir...
Abstract. The iterates of a uniformly quasiregular map acting on a Riemann-ian manifold are quasireg...
We consider the random dynamics of polynomials and the dynamics of polynomial semigroups (semigroups...
We investigate the dynamics of semigroups generated by a family of polynomial maps on the Riemann sp...
Abstract. Many results of the Fatou-Julia iteration theory of rational func-tions extend to uniforml...
We show that for any transcendental meromorphic function f there is a point z in the Julia set of f ...
This thesis is concerned with the iterative behaviour of quasimeromorphic mappings of transcendental...
We establish the existence and fundamental properties of the equilibrium measure in uniformly quasi...
Abstract. We discuss the dynamic and structural properties of polynomial semigroups, a natural exten...
Let f and g be two quasiregular maps in that are of transcendental type and also satisfy . We show t...
We investigate local dynamics of uniformly quasiregular mappings, give new examples and show in part...
We define a quasi-Fatou component of a quasiregular map as a connected component of the complement o...
In this paper, we investigate the boundary of the escaping set I(f) for quasiregular mappings on ℝn,...
We show that if the maximum modulus of a quasiregular mapping f=Rn - Rn grows sufficiently rapidly,...
The Fatou-Julia iteration theory of rational and transcendental entire functions has recently been e...
The work in this thesis revolves around the study of dynamical systems arising from iterating quasir...
Abstract. The iterates of a uniformly quasiregular map acting on a Riemann-ian manifold are quasireg...
We consider the random dynamics of polynomials and the dynamics of polynomial semigroups (semigroups...
We investigate the dynamics of semigroups generated by a family of polynomial maps on the Riemann sp...
Abstract. Many results of the Fatou-Julia iteration theory of rational func-tions extend to uniforml...
We show that for any transcendental meromorphic function f there is a point z in the Julia set of f ...
This thesis is concerned with the iterative behaviour of quasimeromorphic mappings of transcendental...
We establish the existence and fundamental properties of the equilibrium measure in uniformly quasi...
Abstract. We discuss the dynamic and structural properties of polynomial semigroups, a natural exten...
Let f and g be two quasiregular maps in that are of transcendental type and also satisfy . We show t...
We investigate local dynamics of uniformly quasiregular mappings, give new examples and show in part...
We define a quasi-Fatou component of a quasiregular map as a connected component of the complement o...
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