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math.DS2025
Backward Julia sets for a class of p-adic Hénon like maps
Jéfferson L. R. Bastos, Danilo Caprio, Oyran Raizzaro
In this work we study the backward filled Julia sets of a class of -adic polynomial maps defined by , 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 and of the dragon curve associated with the angle , and we prove that the box…
math.DS2025
On Stochastic Adding Machines and Non-Autonomous Julia Sets
Danilo Caprio, Ali Messaoudi, Ioannis Tsokanos +1
This work investigates the spectral and dynamical properties of transition operators associated with a class of stochastic adding machines. In particular, we characterize the spect…