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math.DS2025
Ruelle's zeta function for non-Archimedean rational maps
Yunping Jiang, Chenxi Wu
We studied the transfer operators defined over -valued analytic functions for subhyperbolic rational maps on , and showed that the corresponding Ruelle'…
math.DS2025
Zeta function and entropy for non-archimedean subhyperbolic dynamics
Liang-Chung Hsia, Hongming Nie, Chenxi Wu
Let be a complete non-archimedean field of characteristic equipped with a discrete valuation. We establish the rationality of the Artin-Mazur zeta function on the Julia set…