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Symmetries of Non-Linear Systems: Group Approach to their Quantization
Symmetries of Non-Linear Systems Group Approach Quantization
2011/2/22
We report briefly on an approach to quantum theory entirely based on symmetry grounds which improves Geometric Quantization in some respects and provides an alternative to the canonical framework.
The problem of compressing a real-valued sparse source using compressive sensing techniques is studied. The rate distortion optimality of a coding scheme in which compressively sensed signals are qua...
Degeneration of Kaehler structures and half-form quantization of toric varieties
Kaehler structures half-form quantization
2010/11/19
We study the half-form Kaehler quantization of a smooth symplectic toric manifold $(X,\omega)$, such that $[\omega/2\pi]-c_{1}(X)/2 \in H^{2}(X,{\mathbb{Z}})$ and is nonnegative. We define the half-f...
Information denoising and quantization by diffusion reaction model
signal restoration reaction-diffusion model partial differential equations numerical approximation
2009/1/7
We present a new diffusion reaction model for signal denoising
and quantization. We first discuss on classical quantization methods
and present the most popular denoising models. Then we construct o...
Let $k$ be a field of characteristic zero, $\g$ a $k$-Lie algebra, $e:S\g@>>>U\g$ the symmetrization map. The PBW quantization is the one parameter family of associative products: $$ x\star_t y=\sum_{...