66 citations · 105 across the 11 of their papers we have counts for
15 papers
On Generalized Hyperbolicity, Stability, and Shadowing for Linear Operators
Ali Messaoudi, José Tofanin Neto, Manuel Saavedra +1
This work studies the relations between shadowing, topological stability, Lipschitz structural stability, and pseudo-hyperbolicity for linear dynamical systems on Banach spaces. Th…
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…
A generalized Grobman-Hartman theorem
Nilson C. Bernardes, Ali Messaoudi
We prove that any generalized hyperbolic operator on any Banach space is structurally stable. As a consequence, we obtain a generalization of the classical Grobman-Hartman theorem.
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.…
Invariant probabilities for discrete time Linear Dynamics via Thermodynamic Formalism
Artur O. Lopes, Ali Messaoudi, M. Stadlbauer +1
We show the existence of invariant ergodic -additive probability measures with full support on for a class of linear operators , where is a weighted shift op…
Shadowing and structural stability in linear dynamical systems
Nilson C. Bernardes, Ali Messaoudi
A well-known result in the area of dynamical systems asserts that any invertible hyperbolic operator on any Banach space is structurally stable. This result was originally obtained…