The Artin-Mazur zeta functions of certain non-Archimedean dynamical systems
Junghun Lee
TL;DR
This paper proves that the Artin-Mazur zeta functions for certain non-Archimedean dynamical systems are rational functions, advancing understanding of their dynamical properties.
Contribution
It establishes the rationality of Artin-Mazur zeta functions for specific non-Archimedean systems, a novel result in the field.
Findings
Artin-Mazur zeta functions are rational for these systems
Provides new insights into non-Archimedean dynamics
Enhances understanding of dynamical zeta functions
Abstract
In this paper, we will prove the rationality of the Artin-Mazur zeta functions of some non-Archimedean dynamical systems.
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Taxonomy
TopicsMathematical Dynamics and Fractals · advanced mathematical theories · Quantum chaos and dynamical systems