We study dynamical systems generated by skew products T : S1 × ℝ → S1 × ℝ T(x, y) = (ℓx, λy + f(x)) where ℓ ≥ 2, 1/ℓ < λ < 1 and f is a C2 function on S1. We show that the SBR measure for T is absolutely continuous for almost every f.
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics
- Physics and Astronomy(all)
- Applied Mathematics