J. R. Pérez-Buendía

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math.DS2026

Hierarchical Expansion of Finite Discrete Dynamical Systems: A Non-Archimedean Variational Theory over Coordinate Orderings

J. Rogelio Pérez-Buendía, Víctor Nopal-Coello

A finite dynamical system on $F_{p}^{N}$ has a functional graph and combinatorial basins, but nothing on which to run the local analysis a multiplier makes possible. We supply…

math.DS2026

Rational Interpreters for Discrete Dynamics: Existence, Exactness, and Decomposition over $p$ -adic Fields

J. Rogelio Pérez-Buendía

We address an inverse problem in non-Archimedean dynamics: given a finite discrete dynamical system (equivalently, a functional graph on $N$ states), construct a continuous $p$ -adi…

Hierarchical Expansion of Finite Discrete Dynamical Systems: A Non-Archimedean Variational Theory over Coordinate Orderings

Rational Interpreters for Discrete Dynamics: Existence, Exactness, and Decomposition over p-adic Fields

Rational Interpreters for Discrete Dynamics: Existence, Exactness, and Decomposition over $p$ -adic Fields