D. Caprio

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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…