Ergodicity of cocycles over 2-dimensional rotations
Abstract
We study recurrence and ergodicity of cocycles with values in Rd, d≥1, over a rotation on Tρ, ρ>1, under Diophantine conditions for the rotation and the discontinuities of the functions generating the cocycles. For simplicity of notation we mainly consider the cases ρ=2, d=1 and 2.
Fields of Study & Subjects
Mathematical Dynamics and Fractals
Advanced Differential Equations and Dynamical Systems
p-Adic Analysis and Mathematical Physics
Publication details
- Journal / source
- Studia Mathematica
- Publication date
- 6 March 2026
- Language
- EN