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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Dispersive Quantization and Revival Phenomena for Dispersive Evolution Equations
色散演化方程 色散量子化 复兴现象
2023/4/27
In this talk, we investigate the revival phenomena for the dispersive evolution equations. Firstly, we study the dispersive quantization phenomena for the multi-component systems of the dispersive evo...
Quantization of bending deformations of polygons in E3,hypergeometric in tegrals and the Gassner representation
bending deformations of polygons E3 hypergeometric in tegrals the Gassner representation
2015/10/14
Quantization of bending deformations of polygons in E3,hypergeometric in tegrals and the Gassner representation.
This paper is dedicated to the memory of Moshe Flato, and will appear in Lett. Math. Phys. 48 (1).It became clear during last 5-6 years that the algebraic world of associative algebras (abelian catego...
Exponential convergence rates of second quantization semigroups and applications
Convergence rate tail norm entropy second quantization
2011/11/4
Exponentialconvergence rates in the L2-tail norm and entropy are characterized forthe second quantization semigroups by using the corresponding baseDirichlet form. This supplements the well known resu...
Higher Symmetries of the Laplacian via Quantization
Symmetry algebra Laplacian Quantization Conformal geometry Minimal nilpotent orbit
2011/9/22
Abstract: We develop a new approach, based on quantization methods, to study higher symmetries of invariant differential operators. We focus here on conformally invariant powers of the Laplacian over ...
Quantization of long memory processes
Long-memory processes Round-off error Measurement error Log-periodogram regression Detrended fluctuation analysis Hermite polynomials
2011/10/9
Abstract: We study how quantization, occurring when a continuously varying process is approximated by or observed on a grid of discrete values, changes the properties of a Gaussian long-memory process...
n-Channel Asymmetric Entropy-Constrained Multiple-Description Lattice Vector Quantization
n-Channel Asymmetric Entropy-Constrained Lattice Vector Quantization
2011/1/14
This paper is about the design and analysis of an index-assignment (IA) based multiple-description coding scheme for the n-channel asymmetric case.
Various aspects of Morita theory of deformed algebras and in particular of star product algebras on general Poisson manifolds are discussed. We relate the three flavours ring-heoretic Morita equivalen...
Convergence of distributed asynchronous learning vector quantization algorithms
Convergence of distributed asynchronous vector quantization algorithms
2011/2/25
Motivated by the problem of effectively executing clustering algo-rithms on very large data sets, we address a model for large scale dis-tributed clustering methods.
Nonassociative strict deformation quantization of C*-algebras and nonassociative torus bundles
Nonassociative strict deformation quantization nonassociative torus bundles T-duality
2011/1/20
In this paper, we initiate the study of nonassociative strict deformation quantization of C-algebras with a torus action. We shall also present a definition of nonassociative principal
torus bundles...
Pricing of barrier options by marginal functional quantization
barrier options marginal functional quantization
2011/3/2
This paper is devoted to the pricing of Barrier options by optimal quadratic quantization
method. From a known useful representation of the premium of barrier options one deduces an
algorithm simila...
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.
Exponential Convergence Rates of Second Quantization Semigroups and Applications
Convergence rate tail norm entropy second quantization L´ evy processes
2011/2/28
Exponential convergence rates in the L2-tail norm and entropy are characterized for the second quantization semigroups by using the corresponding base Dirichlet form. This supplements the well known r...
Convergence of distributed asynchronous learning vector quantization algorithms
distributed asynchronous vector quantization algorithms
2011/1/4
Motivated by the problem of effectively executing clustering algorithms on very large data sets, we address a model for large scale distributed clustering methods. To this end, we briefly recall some ...
Quantization of the free electromagnetic field implies quantization of its angular momentum
electromagnetic field angular momentum
2010/11/23
It is shown that when the gauge-invariant Bohr-Rosenfeld commutators of the free electromagnetic field are applied to the expressions for the linear and angular momentum of the electromagnetic field i...