J. R. Pérez-Buendía

collaborators

3 papers

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…

math.NT2025

A Dynamical Néron--Ogg--Shafarevich Criterion via Orbital Arboreal Representations

J. Rogelio Pérez-Buendía

Let $K$ be a non-archimedean local field and $φ : P^{1} \to P^{1}$ a rational endomorphism of degree $d \geq 2$ over $K$ . In the tame case ( $p ∤ d$ ), we show that…

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

A Dynamical Néron--Ogg--Shafarevich Criterion via Orbital Arboreal Representations

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