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Turánnical hypergraphs
Turánnical hypergraphs math
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2010/11/11
This paper is motivated by the question of how global and dense restriction sets in results from extremal combinatorics can be replaced by less global and sparser ones. The result we consider here as ...
Integer hulls of linear polyhedra and scl in families
linear polyhedra scl in families
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2010/11/11
The integer hull of a polyhedron is the convex hull of the integer points contained in it. We show that the vertices of the integer hulls of a rational family of polyhedra of size O(n) have quasipoly...
The complex AGM, periods of elliptic curves over C and complex elliptic logarithms
The complex AGM elliptic curves complex elliptic logarithms
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2010/11/9
We present a method for computing period lattices and elliptic logarithms for elliptic curves defined over C, using the complex Arithmetic-Geometric Mean (AGM) first studied by Gauss. Earlier authors ...
On the canonical structure of regular pencil of singular matrix-functions
singular matrix-functions math
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2010/11/15
The work is devoted to investigation of the canonical structure of regular, in domain of definition ${\cal U}\subseteq {\mathbb R}^{m}$, the pencil of matrix-functions $A(x)+\lambda B(x)$. It is supp...
On the Brauer-Manin obstruction for cubic surfaces
the Brauer-Manin obstruction cubic surfaces
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2010/11/11
We describe a method to compute the Brauer-Manin obstruction for smooth cubic surfaces over $\bbQ$ such that $\Br(S)/\Br(\bbQ)$ is of order two or four. This covers the vast majority of the cases when...
Geometry of Hermitian manifolds
Geometry of Hermitian manifolds math
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2010/11/8
By refining the Bochner formulas for any Hermitian complex vector bundle with an arbitrary metric connection over a compact Hermitian manifold, we can kill torsion and derive various vanishing theore...
On the geometry of Siegel-Jacobi domains
geometry Siegel-Jacobi domains
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2010/11/19
We study the holomorphic unitary representations of the Jacobi group based on Siegel-Jacobi domains. Explicit polynomial orthonormal bases of the Fock spaces based on the Siegel-Jacobi disk are obtain...
Deterministic Compressed Sensing Matrices from Multiplicative Character Sequences
Sensing Matrices Multiplicative Character Sequences
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2010/11/18
Compressed sensing is a novel technique where one can recover sparse signals from the undersampled measurements. In this paper, a $K \times N$ measurement matrix for compressed sensing is determinist...
Remarks on Cyclotomic and Degenerate Cyclotomic BMW Algebras
Degenerate Cyclotomic BMW Algebras math
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2010/11/19
We relate the structure of cyclotomic and degenerate cyclotomic BMW algebras, for arbitrary parameter values, to that for admissible parameter values. In particular, we show that these algebras are ce...
Boundary value problems on Riemannian Symmetric Spaces of the noncompact Type
Boundary value problems Riemannian the noncompact Type
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2010/11/11
We characterize the image of the Poisson transform on each boundary component of a Riemannian symmetric space of the noncompact type by a system of differential equations. The system corresponds to a...
Examples of coarse expanding conformal maps
coarse expanding conformal maps math
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2010/11/8
In previous work, a class of noninvertible topological dynamical systems $f: X \to X$ was introduced and studied; we called these {\em topologically coarse expanding conformal} systems. To such a sys...
Weyl structures for parabolic geometries
Weyl structures parabolic geometries
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2010/11/1
Motivated by the rich geometry of conformal Riemannian manifolds and by the recent development of geometries modeled on homogeneous spaces $G/P$ with $G$ semisimple and $P$ parabolic, Weyl structures...
Representations of multidimensional linear process bridges
multidimensional linear process bridges math
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2010/11/8
We derive bridges from general multidimensional linear non time-homogeneous processes using only the transition densities of the original process giving their integral representations (in terms of a s...
Looking for a Billiard Table which is not a Lattice Polygon but Satisfies Veech's Dichotomy
Billiard Table Lattice Polygon Satisfies Veech's Dichotomy
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2010/11/19
Over the course of studying billiard dynamics, several questions were raised. One of the questions was, which surfaces satisfy the following property (which is called Veech's dichotomy): Any directio...
A geometric model of tube categories
A geometric model tube categories
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2010/11/9
We give a geometric model for a tube category in terms of homotopy classes of oriented arcs in an annulus with marked points on its boundary. In particular, we interpret the dimensions of extension gr...