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math.DS2024
Expanding property and statistical laws for -adic subhyperbolic rational maps
Shilei Fan, Lingmin Liao, Hongming Nie +1
Let be a finite extension of the field of -adic numbers. A rational map of degree at least is subhyperbolic if each critical point in the $\ma…
math.DS2024
-adic rational maps having empty Fatou set
Aihua Fan, Shilei Fan, Yahia Mwanis +1
On any finite algebraic extension of the field $\Q_p$ of -adic numbers, there exist rational maps such that dynamical system has empty Fa…