Add to ORKGAbstract. The iterates of a uniformly quasiregular map acting on a Riemann-ian manifold are quasiregular with a uniform bound on the dilatation. There is a Fatou-Julia type theory associated with the dynamical system obtained by iterating these mappings. We construct the first examples of uniformly quasiregular mappings that have a 2-torus as the Julia set. The spaces sup-porting this type of mappings include the Hopf link complement and its lens space quotients. 1
In this thesis we study uniformly quasiregular (abbreviated uqr) mappings on compact riemannian mani...
Abstract. The Fatou-Julia iteration theory of rational functions has been extended to quasiregular m...
We consider the iteration of quasiregular maps of transcendental type from Rd to Rd. We give a bound...
Abstract. Many results of the Fatou-Julia iteration theory of rational func-tions extend to uniforml...
A uniformly quasiregular mapping acting on a compact Riemannian manifold distorts the metric by a bo...
It is well known that the Julia set J(f) of a rational map f: ℂ → ℂ is uniformly perfect; that is, e...
We investigate local dynamics of uniformly quasiregular mappings, give new examples and show in part...
The Fatou-Julia iteration theory of rational and transcendental entire functions has recently been e...
We establish the existence and fundamental properties of the equilibrium measure in uniformly quasi...
Abstract. There exist uniformly quasiregular maps f: R3 → R3 whose Julia sets are wil
Advisors: Alastair N. Fletcher.Committee members: Douglas Bowman; Ilya Krishtal; Jeffrey Thunder.Inc...
The Fatou-Julia iteration theory of rational functions has been extended to uniformly quasiregular m...
The work in this thesis revolves around the study of dynamical systems arising from iterating quasir...
We consider the iteration of quasiregular maps of transcendental type from Rd to Rd. In particular w...
In this paper, we investigate the boundary of the escaping set I(f) for quasiregular mappings on R(n...
In this thesis we study uniformly quasiregular (abbreviated uqr) mappings on compact riemannian mani...
Abstract. The Fatou-Julia iteration theory of rational functions has been extended to quasiregular m...
We consider the iteration of quasiregular maps of transcendental type from Rd to Rd. We give a bound...
Abstract. Many results of the Fatou-Julia iteration theory of rational func-tions extend to uniforml...
A uniformly quasiregular mapping acting on a compact Riemannian manifold distorts the metric by a bo...
It is well known that the Julia set J(f) of a rational map f: ℂ → ℂ is uniformly perfect; that is, e...
We investigate local dynamics of uniformly quasiregular mappings, give new examples and show in part...
The Fatou-Julia iteration theory of rational and transcendental entire functions has recently been e...
We establish the existence and fundamental properties of the equilibrium measure in uniformly quasi...
Abstract. There exist uniformly quasiregular maps f: R3 → R3 whose Julia sets are wil
Advisors: Alastair N. Fletcher.Committee members: Douglas Bowman; Ilya Krishtal; Jeffrey Thunder.Inc...
The Fatou-Julia iteration theory of rational functions has been extended to uniformly quasiregular m...
The work in this thesis revolves around the study of dynamical systems arising from iterating quasir...
We consider the iteration of quasiregular maps of transcendental type from Rd to Rd. In particular w...
In this paper, we investigate the boundary of the escaping set I(f) for quasiregular mappings on R(n...
In this thesis we study uniformly quasiregular (abbreviated uqr) mappings on compact riemannian mani...
Abstract. The Fatou-Julia iteration theory of rational functions has been extended to quasiregular m...
We consider the iteration of quasiregular maps of transcendental type from Rd to Rd. We give a bound...