J. R. Pérez-Buendía

collaborators

3 papers

math.DS2026

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

J. Rogelio PÃ©rez-BuendÃa, VÃctor Nopal-Coello

We develop a non-Archimedean reading of finite discrete dynamical systems in which the order chosen on the coordinates is itself a dynamical observable. For a map $f : \mathbb{F}_p…

math.NT2026

A Dynamical NÃ©ron--Ogg--Shafarevich Criterion via Orbital Arboreal Representations

J. Rogelio PÃ©rez-BuendÃa

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

math.DS2026

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

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

A Dynamical NÃ©ron--Ogg--Shafarevich Criterion via Orbital Arboreal Representations

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