Andrea Ulliana

collaborators

3 papers

math.DS2026

Geometric Properties of Higher Dimensional Solenoidal Attractors

Daniele Galli, Eleonora Passaglia, Andrea Ulliana

We study the skew product systems $T : S^{1} \times R^{d} \to S^{1} \times R^{d}$ , \begin{equation*} T(x,y)=(\ell x, A y+ϕ(x)), \end{equation*} where $\ell\…

math.DS2026

Two Instances of Chaos in Deterministic and Quantum Dynamical Systems

Andrea Ulliana

This thesis consists of two distinct projects situated in the areas of smooth dynamics and spectral theory, respectively. They are united by a common interest in mechanisms of chao…

math.DS2026

Advances on Stable Ergodicity of Toral Automorphisms

Fernando Argentieri, Andrea Ulliana

We prove that all ergodic automorphisms of the $N$ -dimensional torus with two dimensional center are stably ergodic. This includes all ergodic automorphisms in dimension $N \leq 5$ …