Stable ergodicity of skew products of one-dimensional hyperbolic flows
Stable ergodicity of skew products of one-dimensional hyperbolic flows
We consider hyperbolic flows on one dimensional basic sets.Any such flow is conjugate to a suspension of a shift of finitetype. We consider compact Lie group skew-products of suchsymbolic flows and prove that they are stably ergodicand stably mixing, within certain naturally definedfunction spaces.