A gradient flow perspective on the quantization problem
classification
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problemquantizationrecentapproacharbitraryauthordimensionsdiscuss
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In this paper we review recent results by the author on the problem of quantization of measures. More precisely, we propose a dynamical approach, and we investigate it in dimensions 1 and 2. Moreover, we discuss a recent general result on the static problem on arbitrary Riemannian manifolds.
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