Decus in Labore
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The collection of best constants. For the Diophantine approximation problem of finding infinitely many rational solutions. Is encoded by the so-called. In a similar vein, the Markov spectrum. Encodes best constants for a Diophantine problem involving indefinite binary quadratic real forms. Among the basic properties of these spectra, it is worth mentioning that.
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The Quantum Ergodicity Theorem. Of Shnirelman, Colin de Verdière and Zelditch is a result that combines in a nice way several different concepts. Namely, suppose. Is a compact Riemannian manifold with ergodic geodesic flow. Let. Be the appropriately normalized eigenfunctions of the Laplacian. Then the measures with density. Tend weakly to the usual volume. I am following a series of lectures notes due to Faure and Anantharaman available here. Continue reading . February 28, 2016. Steps, consider the pro.PARSED CONTENT
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