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math.DS2023
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…
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,…