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Creators/Authors contains: "Koirala, Robert"

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  1. ; (, Physica Scripta)
    Abstract We studyℓ∞norms ofℓ2-normalized eigenfunctions of quantum cat maps. For maps with short quantum periods (constructed by Bonechi and de Biévre in F Bonechi and S De Bièvre (2000,Communications in Mathematical Physics,211, 659–686)) we show that there exists a sequence of eigenfunctionsuwith ∥ u ∥ ∞ ≳ log N − 1 / 2 . For general eigenfunctions we show the upper bound ∥ u ∥ ∞ ≲ log N − 1 / 2 . Here the semiclassical parameter is h = 2 π N − 1 . Our upper bound is analogous to the one proved by Bérard in P Bérard (1977,Mathematische Zeitschrift,155, 249-276) for compact Riemannian manifolds without conjugate points. 
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