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Kernels of Linear Representations of Lie Groups, Locally Compact Groups, and Pro-Lie Groups
Kernels of Linear Representations of Lie Groups Locally Compact Groups Pro-Lie Groups
2011/1/17
For a topological group G the intersection KOR(G) of all kernels of ordinary representations
is studied. We show that KOR(G) is contained in the center of G if G is a connected pro-Lie group.
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 ...
Marginal density estimation for linear processes with seasonal long memory
Confidence band empirical process limit theorem mean integrated squared error
2011/2/25
Some convergence results on the kernel density estimator are proven for a class of linear processes with seasonal effects.
Linear space of spinor monomials and realization of the Nambu-Goldstone fermion in the Volkov-Akulov and Komargodski-Seiberg Lagrangians
Linear space of spinor monomials realization Nambu-Goldstone fermion Volkov-Akulov Komargodski-Seiberg Lagrangians
2011/3/2
The analytical algorithm previously proposed by the author for matching the Volkov-Akulov (VA) and Komargodski-Seiberg (KS) actions describing the Nambu-Goldstone (NG) fermion, is discussed.
Galois and universal universal coverings of linear categories and fibre products
fibre product section Galois covering universal covering
2011/2/21
Let k be a commutative ring. We study the behaviour of coverings of k-categories through fibre products and find a criterion for a covering to be Galois or universal.
The central curve in linear programming
Linear programming interior point methods matroid Tutte polynomial hyperbolic
2011/2/22
The central curve of a linear program is an algebraic curve speci ed by linear and quadratic constraints arising from complementary slackness. It is the union of the various central paths for minimizi...
Emergence and Stability of Vortex Clusters in Bose-Einstein Condensates: a Bifurcation Approach near the Linear Limit
Bose-Einstein condensates Vortices Dark solitons Bifurcations
2010/12/28
We study the existence and stability properties of clusters of alternating charge vortices in Bose-Einstein condensates. It is illustrated that such states emerge from cascades of symmetry-breaking bi...
The Hannan-Quinn Proposition for Linear Regression
Hannan-Quinn linear regression the law of iterated logarithms strong consistency
2011/2/23
We consider the variable selection problem in linear regression. Suppose that we have a set
of random variables X1, · · · ,Xm, Y, ǫ such that Y = Pk2 αkXk +ǫ with π ⊆ {1, · · · ,m} a...
Local-Testability and Self-Correctability of q-ary Sparse Linear Codes
Local-Testability Self-Correctability q-ary Sparse Linear Codes
2011/3/3
We prove that q-ary sparse codes with small bias are self-correctable and locally testable. We generalize a result of Kaufman and Sudan [3] that proves the local testability and correctability of bina...
Freeness of Linear and Quadratic Forms in von Neumann Algebras
Free random variables free convolutions a characterization of the semicircle law
2011/2/28
We characterize the semicircular distribution by freeness of linear and qua-dratic forms in noncommutative random variables from tracial W-probability spaces with relaxed moment conditions.
Weak Optimal Controls in Coefficients for Linear Elliptic Problems
degenerate elliptic equations control in coefficients
2011/2/21
In this paper we study an optimal control problem associated to a linear degenerate elliptic equation with mixed boundary conditions. The equations of this type can exhibit the Lavrentieff phenomenon ...
We study the linear syzygies of a homogeneous ideal I ⊆ S =Symk(V ), focussing on the graded betti numbers bi,i+1 = dimk Tori(S/I, k)i+1.
Symmetric Invariant Subspaces of Complexifications of Linear Operators
Symmetric Invariant Subspaces Complexifications of Linear Operators
2011/2/22
Let T : X → X be a linear operator on a complex Banach space. Denote by (T ) and R(, T ) its spectrum and resolvent.
High order explicit symplectic integrators for the Discrete Non Linear Schrödinger equation
High order explicit symplectic integrators Discrete Non Linear Schrö dinger equation
2010/12/28
We propose a family of reliable symplectic integrators adapted to the Discrete Non–Linear Schr¨odinger equation; based on an idea of Yoshida [12]we can construct high order numerical schemes, that res...
Construction of gauge-invariant variables for linear-order metric perturbations on some background spacetimes
gauge-invariant variables linear-order metric perturbations background spacetimes
2011/3/2
Gauge-invariant treatments of general-relativistic higher-order perturbations on generic background spacetime is proposed. We show the fact that the linear-order metric perturbation is decomposed into...