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Half-delocalization for semiclassical measures of split higher-dimensional quantum cat maps

Ferrari-Dominguez, Vincent
arXiv (All) · Papers
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analysis-of-pdesdynamical-systemsmathematical-physicsspectral-theory
We study quantum cat maps on multidimensional tori and prove an optimal lower bound for the Kolmogorov-Sinai entropy of their semiclassical measures under the hypothesis that the dynamics splits over the rationals. This is the first instance of such a bound for a dynamical system with multiple posit
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