S. De Bi\`evre, M. Degli Esposti
Egorov Theorems and equidistribution of eigenfunctions for the quantized sawtooth
and Baker maps.
(72K, LaTeX)
ABSTRACT. We prove semi-classical Egorov estimate for the quantized Baker and sawthooth maps. Those are uniformly
hyperbolic, but discontinuous, area preserving maps on the torus. Due to the discontinuities, the usual semi-classical
Egorov Theorem breaks down. The estimates shown here are still strong enough to prove that the eigenfunctions of
the quantized maps equidistribute in the classical limit.