3 papers
math.DS2026
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…
math.DS2026
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.DS2025
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…