8 citations · 15 across the 12 of their papers we have counts for
13 papers
Meromorphic functions whose action on their Julia sets is Non-Ergodic
Tao Chen, Yunping Jiang, Linda Keen
Nevanlinna functions are meromorphic functions with a finite number of asymptotic values and no critical values. In [KK2] it was proved that if the orbits of all the asymptotic val…
Ergodicity in some families of Nevanlinna Functions
Tao Chen, Yunping Jiang, Linda Keen
We study Nevanlinna functions f that are transcendental meromorphic functions having N asymptotic values and no critical values. In [KK] it was proved that if the orbits of all the…
Meromorphic functions whose action on their Julia sets is non-ergodic
Tao Chen, Yunping Jiang, Linda Keen
We study transcendental meromorphic functions having two prepole asymptotic values and no critical values. We prove that these functions acting on their Julia sets are non-ergodic,…
Meromorphic Functions with a Polar Asymptotic Value
Tao Chen, Linda Keen
This paper is part of a general program in complex dynamics to understand parameter spaces of transcendental maps with finitely many singular values. The simplest families of such…
Dynamics of the meromorphic families
Tao Chen, Linda Keen
This paper continues our investigation of the dynamics of families of transcendental meromorphic functions with finitely many singular values all of which are finite. Here we look…
Accessible Boundary Points in the Shift Locus of a Familiy of Meromorphic Functions with Two Finite Asymptotic Values
Tao Chen, Yunping Jiang, Linda Keen
In this paper we continue the study, began in \cite{CJK2}, of the bifurcation locus of a family of meromorphic functions with two asymptotic values, no critical values and an attra…
Slices of Parameter Space for Meromorphic Maps with Two Asymptotic Values
Tao Chen, Yunping Jiang, Linda Keen
This paper is part of a program to understand the parameter spaces of dynamical systems generated by meromorphic functions with finitely many singular values. We give a full descri…
Dynamics of Generalized Nevanlinna Functions
Tao Chen, Linda Keen
In the early 1980's, computers made it possible to observe that in complex dynamics, one often sees dynamical behavior reflected in parameter space and vice versa. This duality was…
Cycle Doubling, Merging And Renormalization in the Tangent Family
Tao Chen, Yunping Jiang, Linda Keen
In this paper we study the transition to chaos for the restriction to the real and imaginary axes of the tangent family . Because tangent maps h…
Bounded Geometry and Characterization of Some Transcendental Entire and Meromorphic Maps
Tao Chen, Yunping Jiang, Linda Keen
We define two classes of topological infinite degree covering maps modeled on two families of transcendental holomorphic maps. The first, which we call exponential maps of type $(p…
Bounded Geometry and Characterization of post-singularly Finite -Exponential Maps
Tao Chen, Yunping Jiang, Linda Keen
In this paper we define a topological class of branched covering maps of the plane called {\em topological exponential maps of type } and denoted by $\TE_{p,q}$, where $p\ge…
Bounded Geometry and Families of Meromorphic Functions with Two Asymptotic Values
Tao Chen, Yunping Jiang, Linda Keen
In this paper we consider the topological class, denoted by AV2, of universal covering maps from the plane to the sphere with two removed points. We prove that an element f in AV2…
Canonical Thurston Obstructions for Sub-Hyperbolic Semi-Rational Branched Coverings
Tao Chen, Yunping Jiang
We prove that the canonical Thurston obstruction for a sub-hyperbolic semi-rational branched covering exists if the branched covering is not CLH-equivalent to a rational map.