8 papers
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\…
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…
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…
Shadowing and Stability of Non-Invertible -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…
Shadowing and Stability in p-adic dynamics
Jéfferson Bastos, Danilo Caprio, Ali Messaoudi
In this paper, we study dynamical properties as shadowing and structural stability for a class of dynamics on and , where is a prime number.…
Filled Julia set of some class of Hénon-like map
Danilo Antonio Caprio
In this work we consider a class of endomorphisms of defined by , where is a real number and we prove that when , the forwa…
Stochastic adding machines based on Bratteli diagrams
Danilo Antonio Caprio, Ali Messaoudi, Glauco Valle
In this paper, we define some Markov Chains associated to Vershik maps on Bratteli diagrams. We study probabilistic and spectral properties of their transition operators and we pro…
A class of adding machine and Julia sets
Danilo Antonio Caprio
In this work we define a stochastic adding machine associated to the Fibonacci base and to a probabilities sequence . We obtain a Markov chain whose s…