Preprint D97/2012
Exponential speed of mixing for skew-products with singularities

JosÃ© L. Vieitez | Markarian, Roberto | Pacifico, Maria Jose

**Keywords: **
Mixing | speed of mixing |

Let $f: [0,1]\times [0,1] \backslash \{ 1/2\} \to
[0,1]\times [0,1]$ be the $C^\infty$ endomorphism given by
(null)
We prove that $f$ is topologically mixing and if $c>1/4$ then
$f$ is mixing with respect to Lebesgue measure. Furthermore we prove that the
speed of mixing is exponential.