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影响域近似对非局部模型局部极限的影响
影响域近似 非局部模型 极限
2023/1/4
Many nonlocal models have adopted Euclidean balls as the nonlocal interaction neighborhoods. When solving them numerically, it is sometimes convenient to adopt polygonal approximations of such balls. ...
一类求解非光滑矩阵流形优化的基于增广拉格朗日的半光滑牛顿法
非光滑矩阵 流形优化 增广拉格朗日 半光滑牛顿法
2023/1/5
This paper is devoted to studying an augmented Lagrangian method for solving a class of manifold optimization problems, which have nonsmooth objective functions and nonlinear constraints. Under the co...
影响域近似对非局部模型局部极限的影响（谢和虎）
域 非局部模型 局部极限
2023/2/22
Many nonlocal models have adopted Euclidean balls as the nonlocal interaction neighborhoods. When solving them numerically, it is sometimes convenient to adopt polygonal approximations of such balls. ...
GL2的岩泽主猜想和p进L函数的导数
GL2 岩泽主猜想 p进L函数 导数
2023/1/5
We prove under mild hypotheses the three-variable Iwasawa main conjecture for $p$-ordinary modular forms in the indefinite setting. Our result is in a setting complementary to that in the work of Skin...
Low-dimensional model of turbulent Rayleigh-Benard convection in a Cartesian cell with square domain
Low-dimensional model Cartesian cell square domain turbulent Rayleigh-Benard convection
2011/7/7
A low-dimensional model (LDM) for turbulent Rayleigh-Benard convection in a Cartesian cell with square domain, based on the Galerkin projection of the Boussinesq equations onto a finite set of empiric...
On mappings in the Orlicz-Sobolev classes
moduli of families of surfaces Sobolev classes Orlicz-Sobolev classes
2011/2/25
First of all, we prove that open mappings in Orlicz-Sobolev classes W 1,'loc under the Calderon type condition on ' have the total differential a.e.
Three commuting, unital, completely positive maps that have no minimal dilation
Product system subproduct system semigroups of completely positive maps
2011/1/20
In this note we prove that there exist at least two examples of three commuting, unital, completely positive maps that have no dilation on a type I factor, and no minimal dilation on any von Neumann a...
Let Q(α) and Q(β) be algebraic number fields. We describe a new method to find (if they exist) all isomorphisms, Q(β) → Q(α). The algorithm is particularly efficient if the number of isomorphisms is o...
We address the problem of ambiguity of a function determined by an asymptotic perturbation
expansion. Using a modified form of the Watson lemma recently proved elsewhere, we discuss a
large class of...
On Transmit Antenna Selection for Multiuser MIMO Systems with Dirty Paper Coding
Transmit Antenna Selection Multiuser MIMO Systems Dirty Paper Coding
2011/1/19
Abstract—In this paper, we address the transmit antenna selection in multi-user MIMO systems with precoding. The optimum and reduced complexity sub-optimum antenna selection algorithms are introduced.
A remark on approximation of open sets with regular bounded ones
approximation of irregular open sets ascending sequence of sets analytic boundary
2011/1/19
We show that any open set in Rn is a union of an ascending sequence of bounded open sets with analytic boundary.This is just a technical result, which is probably known. We be-lieve, however, that it ...
A faithful linear-categorical action of the mapping class group of a surface with boundary
faithful linear-categorical action mapping class group surface with boundary
2011/1/18
We show that the action of the mapping class group on bordered Floer homology in the second to extremal spinc-structure is faithful. The paper is self-contained, and in particular does not assume any ...
Cofinitely Hopfian groups, open mappings and knot complements
Cofinitely Hopfian open mappings relatively hyperbolic
2011/1/19
A group is defined to be cofinitely Hopfian if every homomorphism → whose image is of finite index is an automorphism.Geometrically significant groups enjoying this pr...
The Toda chains take a particular place in the theory of integrable systems,in contrast with the linear group structure for the Gaudin model this system is related to the corresponding Borel group and...
Completely positive mappings and mean matrices
Matrix monotone function matrix means Hadamard product com-pletely positive mapping
2011/2/24
Some functions f : R+ → R+ induce mean of positive numbers and the matrix monotonicity gives a possibility for means of positive definite matrices. Moreover,such a function f can define linear mapping...