27 citations · 124 across the 39 of their papers we have counts for
31 papers · 1 filter
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…
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,…
Geometry in the Furstenberg Conjecture
Yunping Jiang
We explore the geometric aspects of the Furstenberg conjecture, proving that a non-atomic probability measure on the unit circle, invariant under both - and -actions for copr…
Orders of Oscillation Motivated by Sarnak's Conjecture--Part II
Yunping Jiang
This work is a continuation of [13]. We study the linear disjointness between higher-order oscillating sequences and nonlinear dynamical systems. Specifically, we prove that any os…
Symmetric Rigidity for Circle Endomorphisms with Bounded Geometry
John Adamski, Yunchun Hu, Yunping Jiang +1
Let and be two circle endomorphisms of degree such that each has bounded geometry, preserves the Lebesgue measure, and fixes . Let fixing be the topolo…
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…