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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Functions of bounded variation and nonlocal functionals
有界 变差函数 非局部泛函
2023/11/29
In the past two decades, starting with the pioneering work of Bourgain, Brezis, and Mironescu, there has been widespread interest in characterizing Sobolev and BV (bounded variation) functions by mean...
中国地质大学科学技术发展院宗小峰自动化学院 Automatica, Available online 20 March 2018, Stability of stochastic functional differential systems using degenerate Lyapunov functionals and applications
随机；系统；稳定性；方面新成果
2021/10/21
2018年3月20日，控制领域国际顶级期刊《Automatica》刊发了中国地质大学自动化学院宗小峰教授的“随机系统稳定性方面新成果”--Stability of stochastic functional differential systems using degenerate Lyapunov functionals and applications。
A class of Lyapunov functionals for analyzing hybrid dynamical systems
Lyapunov functionals the hybrid system function hysteresis nonlinear system lyapunov functionals
2015/8/11
In this paper, we introduce a new class of Lyapunov functionals for analyzing hybrid dynamical systems. This class can be thought of as a generalization of the Lyapunov functional introduced by Yakubo...
Linear Functionals of Eigenvalues of Random Matrices
Random unitary matrix the calculation function
2015/7/14
.L.et 1% be a random r~x r~unitary matrix with distribution given
by Haar measure on the unitary group. Using explicit monlerlt calculations,
a general criterion is given for linear cornbinations of...
A Class of Lyapunov Functionals for Analyzing Hybrid Dynamical Systems
Lyapunov Functionals Analyzing Hybrid Dynamical Systems
2015/7/10
In this paper, we introduce a new class of Lyapunov functionals for analyzing hybrid dynamical systems. This class can be thought of as a generalization of the Lyapunov functional introduced by Yakubo...
Central Limit Theorems and Large Deviations for Additive Functionals of Reflecting Diffusion Processes
Central Limit Theorems Large Deviations Additive Functionals Reflecting Diffusion Processes
2015/7/6
This paper develops central limit theorems (CLT's) and large deviations results for additive functionals associated with reflecting disions in which the functional may include a term associated with t...
Constructing Lyapunov-Krasovskii Functionals for Linear Time Delay Systems
Linear Time Delay Systems Lyapunov-Krasovskii
2015/6/19
We present an algorithmic methodology for constructing Lyapunov-Krasovskii (L-K) functionals for linear time-delay systems, using the sum of squares decomposition of multivariate polynomials to solve ...
A class of variational functionals in conformal geometry
A class of variational functionals in conformal geometry
2014/4/3
We derive a class of variational functionals which arise naturally in
conformal geometry. In the special case when the Riemannian manifold is locally conformal flat, the functional coincides wi...
Nonparametric functionals as generalized functions
Nonparametric functionals generalized functions
2013/4/27
The paper considers probability distribution, density, conditional distribution and density and conditional moments as well as their kernel estimators in spaces of generalized functions. This approach...
Estimation of entropy-type integral functionals
U-statistics estimation of divergence density power divergence asymptotic normality entropy estimation Raenyi entrop
2012/11/22
Integrated powers of densities of one- or two-multidimensional random variables appear in a variety of problems in mathematical statistics, information theory, and computer science. We study U-statist...
Quarticity and other functionals of volatility: efficient estimation
semimartingale high frequency data volatility estimation central limit theo-rem efficient estimation
2012/9/19
We consider a multidimensional It坥 semimartingale regularly sampled on [0,t] at high frequency 1/∆n, with ∆n going to zero. The goal of this paper is to provide an estimator for the integr...
Computing Functionals of Multidimensional Diffusions via Monte Carlo Methods
Computing Functionals of Multidimensional Diffusions Monte Carlo Methods Numerical Analysis Computational Finance
2012/4/28
We discuss suitable classes of diffusion processes, for which functionals relevant to finance can be computed via Monte Carlo methods. In particular, we construct exact simulation schemes for processe...
Density Functional Resonance Theory: complex density functions, convergence, orbital energies, and functionals
Density Functional Resonance Theory complex density functions convergence orbital energies functionals
2012/2/29
Aspects of Density Functional Resonance Theory (DFRT) [Phys. Rev. Lett. \textbf{107}, 163002 (2011)], a recently developed complex-scaled version of ground-state Density Functional Theory (DFT), are s...
On the relaxation of special demi-coercive functionals in the space SBD(Ω)
Integral representation relaxation,special
2011/10/18
In this paper,we obtain an integral representation for the relaxation of the special demi-coercive functional \\[ F(x,u,\\Omega):=\\left\\{ \\begin{array}{ll} \\int_{\\Omega}f(x,u(x),\\varepsilon u(x)...
Variable Exponent Functionals in Image Restoration
variational exponent functional BV space staircasing effect heat flow
2011/10/17
We study a functional with variable exponent, 1 Keywords： variational exponent functional;BV space;staircasing effect;heat