absolute continuity 1derivative dispersion condition 1eigenvector delocalization 1ergodic theory 1Hausdorff dimension 1schrödinger operators 1skew product 1solenoidal attractors 1spectral theory 1srb measure 1stable ergodicity 1torus automorphisms 1
From the 2 of 3 linked papers with an AI index.
3 papers
math.DS2026
Geometric Properties of Higher Dimensional Solenoidal Attractors
Daniele Galli, Eleonora Passaglia, Andrea Ulliana
The paper analyzes skew‑product dynamical systems on the circle times a Euclidean space, determining when the solenoid attractor’s Hausdorff dimension matches its affinity dimensio…
math.DS2026
Two Instances of Chaos in Deterministic and Quantum Dynamical Systems
Andrea Ulliana
The thesis studies two kinds of chaos: it proves stable ergodicity for certain linear toral automorphisms, and shows that eigenvector delocalization is typical for deterministic Sc…
math.DS2026
Advances on Stable Ergodicity of Toral Automorphisms
Fernando Argentieri, Andrea Ulliana
We prove that all ergodic automorphisms of the -dimensional torus with two dimensional center are stably ergodic. This includes all ergodic automorphisms in dimension …