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Showing 1 to 3 of 3 for “"Geometric quantization."”.
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Geometric quantization and dynamical constructions on the space of Kähler metrics
… of the Thesis is concerned with a problem of geometric quantization: Can the geometry of the infinite-dimensional space of Kähler metrics be approximated in terms of the geometry of the finite-dimensional spaces of FubiniStudy Bergman metrics sitting inside it? We restrict to toric varieties …
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Quantization Dimension for Probability Definitions
The term quantization refers to the process of estimating a given probability by a discrete probability supported on a finite set. The quantization dimension Dr of a probability is related to the asymptotic rate at which the expected distance (raised to the rth power) to the support of the …
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A Constructive Proof of the Borel-Weil Theorem for Classical Groups
<p>The Borel-Weil theorem is usually understood as a realization theorem for representations that have already been shown to exist by other means (``Theorem of the Highest Weight''). In this thesis we turn the tables and show that, at least in the case of the classical groups $G = U(n)$, $SO(n)$ …