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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On the L2 rate of convergence in the limit from the Hartree to the Vlasov–Poisson Equation
哈特里到弗拉索夫 泊松方程 极限 L2收敛率
2023/4/13
We consider the semiclassical limit from the Hartree equation with Coulomb interaction potential to the Vlasov–Poisson equation. Using a new stability estimate for the difference of the square roots o...
Consensus and Products of Random Stochastic Matrices: Exact Rate for Convergence in Probability
Consensus consensus+innovations performance analysis random network convergence in probability exponential rate
2012/3/1
Distributed consensus and other linear systems with system stochastic matrices $W_k$ emerge in various settings, like opinion formation in social networks, rendezvous of robots, and distributed infere...
On the rate of convergence to equilibrium for a non-isothermal viscous Cahn-Hilliard equation
Partial differential equation Cahn-Hilliard equation Maxwell-Cattaneo's law convergence rate
2011/10/14
In this short note, a model describing non-isothermal fast phase separation processes taking place in a three-dimensional bounded domain is considered. The model consists of a viscous Cahn-Hilliard eq...
Sharp bounds on the rate of convergence of the empirical covariance matrix
Sharp bounds rate of convergence empirical covariance matrix
2011/1/17
Let X1, . . . ,XN ∈ Rn be independent centered random vectors with log-concave distribution and with the identity as covariance matrix.
Ergodic approximation of the distribution of a stationary diffusion : rate of convergence
stochastic differential equation stationary process steady regime ergodic diffusion Central Limit Theorem Euler scheme
2010/11/26
We extend to Lipschitz continuous functionals either of the true paths or of the Euler scheme with decreasing step of a wide class of Brownian ergodic diffusions, the Central Limit Theorems formally e...
On the rate of convergence of weak Euler approximation for non-degenerate SDEs
L´ evy processes stochastic differential equations
2010/12/10
The paper estimates the rate of convergence of the weak Euler approximation for solutions to SDEs driven by point and martingale measures, with H¨older continuous coefficients. The equation considered...
Rate of convergence of linear functions on the unitary group
Rate of convergence linear functions unitary group
2010/11/29
We study the rate of convergence to a normal random variable of the real and imaginary parts of TrANU, where U is an N ×N random unitary matrix and AN is a deterministic complex matrix.
Rate of Convergence and Tractability of the Radial Function Approximation Problem
Gaussian kernel reproducing kernel Hilbert spaces shape parameter
2011/1/21
This article studies the problem of approximating functions belonging to a Hilbert space Hd with an isotropic or anisotropic Gaussian reproducing kernel.
Rate Of Convergence For A General Sequence Of Durrmeyer Type Operators
Szasz Durrmeyer operators Baskakov Durrmeyer operators Rate of convergence Order of approximation
2008/6/27
In the present paper we give the rate of convergence for the linear combinations of the generalized Durrmeyer type operators which includes the well known Szasz Durrmeyer operators and Baskakov Durrme...
Rate of Convergence of Chlodowsky Type Durrmeyer Operators
Approximation Bounded variation Chlodowsky polynomials Durrmeyer Operators Chanturiya's modulus of variation Rate of convergence
2008/6/27
Rate of Convergence of Chlodowsky Type Durrmeyer Operators.
Rate of Convergence of Summation-Integral Type Operators with Derivatives Of Bounded Variation
Linear positive operators Bounded variation Total variation Rate of convergence
2008/6/27
Rate of Convergence of Summation-Integral Type Operators with Derivatives Of Bounded Variation.
Rate of Convergence of the Discrete Polya Algorithm from Convex Sets. A Particular Case
Best uniform approximation Rate of convergence Polya Algorithm Strong uniqueness
2008/6/27
Rate of Convergence of the Discrete Polya Algorithm from Convex Sets. A Particular Case.
On the Rate of Convergence of some Orthogonal Polynomial Expansions
Orthogonal polynomial expansion Rate of pointwise and uniform convergence Modulus of variation Generalized variation
2008/6/27
In this paper we estimate the rate of pointwise convergence of certain orthogonal expansions for measurable and bounded functions.
Rate of Convergence of Durrmeyer Type Baskakov-Bezier Operators for Locally Bounded Functions
Locally Bounded Functions Rate of Convergence Modulus of Variation
2010/2/26
In the present paper, we introduce the Durrmeyer variant of Baskakov-Bezier operators Bn,a (f,x), which is the modified form of Baskakov-Beta operators. Here we obtain an estimate on the rate of conve...