Short-period eigenfunctions of quantum cat maps equidistribute semiclassically on the torus while their logarithmically large L^infty norms concentrate on a bounded number of coordinates.
Semiclassical measures for higher-dimensional quantum cat maps
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Equidistribution of Eigenfunctions of Quantum Cat Maps
Short-period eigenfunctions of quantum cat maps equidistribute semiclassically on the torus while their logarithmically large L^infty norms concentrate on a bounded number of coordinates.