D. Caprio

collaborators

4 papers

math.NT2026

Shadowing and Stability of Non-Invertible $p$ -adic Dynamics

D. A. Caprio, F. Lenarduzzi, A. Messaoudi +1

The stability theory of compact metric spaces with positive topological dimension is a well-established area in Dynamical Systems. A central result, attributed to Walters, connects…

math.DS2025

Backward Julia sets for a class of p-adic HÃ©non like maps

JÃ©fferson L. R. Bastos, Danilo Caprio, Oyran Raizzaro

In this work we study the backward filled Julia sets of a class of $p$ -adic polynomial maps $f : Q_{p}^{2} ⟶ Q_{p}^{2}$ defined by $f (x, y) = (x y + c, x)$ , where $c\…

math.DS2025

The coordinate functions of the Heighway dragon curve

Danilo Antonio Caprio

In this work, we study properties of the coordinate functions $x_{I^} ¸$ and $y_{I^} ¸$ of the dragon curve associated with the angle $\frac{I ¨}{} 3 < I^¸ < \frac{5 I ¨ }{3}$ , and we prove that th…

math.DS2025

Operators of stochastic adding machines and Julia sets

Danilo Caprio, Ali Messaoudi, Ioannis Tsokanos +1

A stochastic adding machine is a Markov chain on the set of non-negative integers $Z_{+}$ that models the process of adding one by successively updating the digits of a nu…

Shadowing and Stability of Non-Invertible p-adic Dynamics

Backward Julia sets for a class of p-adic HÃ©non like maps

The coordinate functions of the Heighway dragon curve

Operators of stochastic adding machines and Julia sets

Shadowing and Stability of Non-Invertible $p$ -adic Dynamics