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Partial desingularizations of good moduli spaces of Artin toric stacks
Partial desingularizations good moduli spaces of Artin toric stacks
2011/1/19
Let X be an Artin stack with good moduli space X → M. We define the Reichstein transform of X relative to a closed substack C ⊂ X to be the complement of the strict transform of the saturation o...
Orbit determination of space objects based on sparse optical data
orbit determination space debris
2011/3/4
While building up a catalog of Earth orbiting objects, if the available optical observations
are sparse, not deliberate follow ups of specific objects, no orbit determination is possible
without pre...
Jordanian double extensions of a quadratic vector space and symmetric Novikov algebras
Jordanian double extension 2-step nilpotent pseudo-Euclidean Jordan algebras
2011/2/28
First, we study pseudo-Euclidean Jordan algebras obtained as double extensions of a quadratic vector space by a one-dimensional algebra. We give an isomorphic characterization of 2-step nilpotent pseu...
Quasi-shape theory of locally finite and paracompact spaces
Shape quasi-shape locally finite spaces weak homotopy type
2011/2/28
Shape theory works nice for (Hausdorff) paracompact spaces, but for spaces with no separation axioms, it seems to be quite poor. However, for finite and locally finite spaces their weak homotopy type ...
Particle approximation of the intensity measures of a spatial branching point process arising in multi-target tracking
Spatial branching processes multi-target tracking problems
2011/2/25
The aim of this paper is two-fold. First we analyze the sequence of intensity measures of a spatial branching point process arising in a multiple target tracking context. We study its stability proper...
The Gelfand-Tsetlin bases for Hodge-de Rham systems in Euclidean spaces
Clifford analysis Hodge-de Rham system Gelfand-Tsetlin basis
2011/2/25
The main aim of this paper is to construct explicitly orthogonal bases for the spaces Hs k(Rm) of k-homogeneous polynomial solutions of the Hodge-de Rham system in the Euclidean space Rm which take va...
We give an interpretation of J -spaces in terms of symmetric spectra in symmetric sequences. As application we show how one can define graded endomorphism objects in a general situation. As example we...
On electromagnetism and generalized energy-momentum tensor of the electromagnetic field in spaces with Finsler geometry
On electromagnetism generalized energy-momentum tensor electromagnetic field spaces Finsler geometry
2011/1/20
By using variational calculus and exterior derivative formalism, we proposed in [30] and [11] a new geometric approach to electromagnetism in pseudo-Finsler spaces.
We are interested in studying doubling metric spaces with the property that at some of the points the metric tangent is unique. In such a setting, Finsler-Carnot-Carath´eodory geometries and Car...
The wave equation on Damek-Ricci spaces
phrases. Damek–Ricci spaces semilinear wave equation dispersive estimate
2011/1/18
We study the dispersive properties of the wave equation associated with the shifted Laplace–Beltrami operator on Damek–Ricci spaces, and deduce Strichartz estimates for a large family of admissible pa...
Space functions of groups
Space functionsp groups
2010/12/8
Time and space complexities are the main properties of algorithms. Their counterparts in Group Theory are the Dehn and filling length (or space) functions of finitely presented groups. In this paper, ...
The rotations, boosts, and translations in an N2-dimensional spacetime are shown to be related to the fundamental commutators, anticommutators, and Clebsch-Gordan coefficients, respectively, of SU(N).
Diversity Spectra of Spatial Multipath Fading Processes
Diversity Spectra Spatial Multipath Fading Processes
2010/12/10
We analyse the spatial diversity of a multipath fading process for a finite region or curve in
the plane. By means of the Karhunen-Loève (KL) expansion, this diversity can be characterised
by the ei...
We give a survey of basic results on the cut norm and cut metric for graphons (and sometimes more general kernels), with emphasis on the equivalence problem. The main results are not new, but we add v...
Tight embedding of subspaces of $L_p$ in $\ell_p^n$ for even $p$
Tight embedding of subspaces subspaces
2010/11/30
Using a recent result of Batson, Spielman and Srivastava, We ob-tain a tight estimate on the dimension of ℓn p , p an even integer, needed to almost isometrically contain all k-imensional subspa...