Hokkaido University Preprint Series in Mathematics
Volume:
501
Start Page:
1
End Page:
20
Abstract:
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 Tis absolutely continuous for almost every f.