Fourier Decay of SRB Measures for Skew Products

Gaétan Leclerc, Haojie Ren

We study Fourier decay of natural invariant measures for real analytic skew products $T(x,y)=(f(x),g(x,y))$ on ${\mathbb{S}}^1\times [-1,1]$, where $f$ is expanding and $0<|\partial…