96-210 S. De Bi\`evre, M. Degli Esposti

Egorov Theorems and equidistribution of eigenfunctions for the quantized sawtooth and Baker maps. (72K, LaTeX) May 20, 96

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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.

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