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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 and superselection sectors III:Multiply connected spaces and indistinguishable particles
Quantum theory identical particles permutation invariance
2016/6/14
We reconsider the (non-relativistic) quantum theory of indistinguishable particles on the basis of Rieffel's notion of C*-algebraic (`strict') deformation quantization. Using this formalism, we relate...
Helper Data Systems are a cryptographic primitive that allows for the reproducible extraction of secrets from noisy measurements. Redundancy data called Helper Data makes it possible to do error corre...
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.
Low rate distributed quantization of noisy observations
Quantitative distributed network nodes a random variable
2015/8/13
We consider the achievable performance of a network of nodes in which the nodes view a common random variable corrupted by a site specific noise and share low rate information about their observations...
EARLY DETECTION OF OVARIAN CANCER USING GABOR WAVELET PHASE QUANTIZATION AND BINARY CODING
Ovarian cancer treatment
2015/5/27
Ovarian cancer is the 5th most common cancer in women, but it is the most difficult to detect in its early stages. Early detection and treatment of ovarian cancer has been shown to increase the five y...
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...
The stochastic quantization method and its application to the numerical simulation of volcanic conduit dynamics under random conditions
stochastic quantization method application to the numerical simulation volcanic conduit dynamics random conditions
2014/12/31
Stochastic Quantization (SQ) is a method for the approximation of a continuous probability distribution with a discrete one. The proposal made in this paper is to apply this technique to reduce the nu...
Anisotropic oracle inequalities in noisy quantization
Quantization Deconvolution Fast rates Margin assumption,k-means clus-tering
2013/6/13
The effect of errors in variables in quantization is investigated. We prove general exact and non-exact oracle inequalities with fast rates for an empirical minimization based on a noisy sample $Z_i=X...
We apply the quantization scheme introduced in [arXiv:1204.2870] to a particle on a circle. We find that the quantum action functional restricted to appropriate coherent states can be expressed as the...
Distributed Functional Scalar Quantization Simplified
Distributed Functional Scalar Quantization Simplified Information Theory
2012/6/25
Distributed functional scalar quantization (DFSQ) theory provides optimality conditions and predicts performance of data acquisition systems in which a computation on acquired data is desired. We addr...
Towards a combined fractional mechanics and quantization
fractional canonical formalism Hamiltonian approach variational principles of physics nonconservative systems
2012/6/21
A fractional Hamiltonian formalism is introduced for the recent combined fractional calculus of variations. The Hamilton-Jacobi partial differential equation is generalized to be applicable for system...
"Quantization" of higher hamiltonian analogues of the Painleve I and Painleve II equations with two degrees of freedom
Quantization higher hamiltonian analogues Painleve I Painleve II equations Exactly Solvable and Integrable Systems
2012/4/27
We construct a solution of an analog of the Schr\"{o}dinger equation for the Hamiltonian $ H_I (z, t, q_1, q_2, p_1, p_2) $ corresponding to the second equation $P_1^2$ in the Painleve I hierarchy. Th...
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 ...