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19912024
most citedStable components in the parameter plane of transcendental functions of finite type

15 citations · 49 across the 22 of their papers we have counts for

collaborators

24 papers

math.DS2024

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…

math.DS2023

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,…

math.DS2022

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…

math.DS2021

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…

math.DS2020★ 3 cited

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…

math.CV2019★ 8 cited

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…