 96210 S. De Bi\`evre, M. Degli Esposti
 Egorov Theorems and equidistribution of eigenfunctions for the quantized sawtooth
and Baker maps.
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May 20, 96

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Abstract. We prove semiclassical 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 semiclassical
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.
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