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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...
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...
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...
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
Extremum conditions for functionals involving higher derivatives of several variable vector valued functions
Variational problems critical points extremum conditions
2011/9/21
Abstract: This paper addresses both necessary and relevant sufficient extremum conditions for a variational problem defined by a smooth Lagrangian, involving higher derivatives of several variable vec...
Extremal Kahler metrics and energy functionals on projective bundles
Extremal Kahler metrics energy functionals projective bundles
2011/9/21
Abstract: In this paper, we prove the equivalence of the existence of extremal Kahler metrics and the properness of the modified K energy on projective bundles. Moreover, we discuss the relations of t...
Multiplicative white noise functionals and the Krylov-Veretennikov expansion for coalescing stochastic flows
Krylov-Veretennikov expansion coalescing stochastic flows Probability
2011/9/20
Abstract: In this article we consider multiplicative operator-valued white noise functionals related to a stochastic flow. A generalization of the Krylov-Veretennikov expansion is presented. An analog...
Kawasaki dynamics in the continuum via generating functionals evolution
Generating functional Kawasaki dynamics Interacting particle system Continuous system Ovsjannikov’s method Vlasov scaling
2011/9/19
Abstract: We construct the time evolution of Kawasaki dynamics for a spatial infinite particle system in terms of generating functionals. This is carried out by an Ovsjannikov-type result in a scale o...
On the density of exponential functionals of Levy processes
Levy processes exponential functional subordinators self-similar Markov processes
2011/9/14
Abstract: In this paper, we study the existence of the density associated to the exponential functional of the L\'evy process $\xi$, \[ I_{\ee_q}:=\int_0^{\ee_q} e^{\xi_s} \, \mathrm{d}s, \] where $\e...
Abstract: We study an integral non coercive functional defined on H^1_0, proving the existence of a minimum in W^{1,1}_0.
Extended Factorizations of Exponential Functionals of Lévy Processes
Exponential functional Levy processes Wiener-Hopf factorizations Infinite divisibility Complete monotonicity
2011/8/24
Abstract: In [16], under mild conditions, a Wiener-Hopf type factorization is derived for the exponential functional of proper L\'evy processes. In this paper, we extend this factorization by relaxing...