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Structure of finite nilspaces and inverse theorems for the Gowers norms in bounded exponent groups
Structure of finite nilspaces inverse theorems the Gowers norms bounded exponent groups
2010/11/11
A result of the author shows that the behavior of Gowers norms on bounded exponent abelian groups is connected to finite nilspaces. Motivated by this, we investigate the structure of finite nilspaces...
On the local structure and the homology of CAT$(\kappa)$ spaces and euclidean buildings
local structure CAT$(\kappa)$ spaces euclidean buildings
2010/12/7
We prove that every open subset of a euclidean building is a finite dimensional absolute neighborhood retract. This implies in particular that such a set has the homotopy type of a finite dimensional ...
The purpose of this note is make Theorem 13 in [2] more accessible.Restatements of the theorem already appeared in few of the authors'succeeding works but with no details. We wish in this note to give...
Unique Structure on G-equivariant Manifolds
Lie groups Transformation groups G-equivariant maps and Invariant-functions
2010/12/14
We will have a deep look at the set of all G-equivariant maps from the factor Lie group G to the under the action manifold M, both from “computational” and “observability” viewpoint. We will also be l...
Tree-Structure Expeactation Propagation for LDPC Decoding in Erasure Channels
heavy tails truncation second order regular variation
2010/12/9
The problem of estimating the tail index from truncated data is addressed in Chakrabarty and Samorodnitsky (2009). In that paper.
The algebraic structure of finitely generated $L^{0}(\mathcal{F},K)$-modules
Finitely generated L0(F,K)-modules, Stratification structure
2010/12/13
Let K be the scalar field of all real or complex numbers, (,F, P) a probability space, and L0(F,K) the algebra of equivalence classes of K–valued F–measurable random variables on. This paper proves th...
Structure of Chinese algebras
Chinese monoid monoid algebra prime ideal homogeneous congruence
2010/12/14
The structure of the algebra K[M] of the Chinese monoid M over a field K is studied. The minimal prime ideals are described. They are determined by certain homogeneous congruences on M and they are in...
Gradient flow structure for domain relaxation in Langmuir films
Gradient flow structure domain relaxation Langmuir films
2010/11/26
We describe a gradient flow structure for the inviscid Langmuir layer Stokesian subfluid model introduced recently by Alexander et al [1].
Subspace structure of some operator and Banach spaces
Subspace structure operator Banach spaces
2010/12/8
We construct a family of separable Hilbertian opera-tor spaces, such that the relation of complete isomorphism between the subspaces of each member of this family is complete K. We
also investigate ...
On the Davenport constant and on the structure of extremal zero-sum free sequences
zero-sum sequence Davenport constant
2010/12/14
Let G = Cn1 . . .Cnr with 1 < n1 | . . . | nr be a finite abelian group, d(G) = n1+. . .+
nr −r, and let d(G) denote the maximal length of a zero-sum free sequence over G. Then d(G) d(G),...
Let X be a Banach space which is lush. It is shown that if a subspace of X is either an L-summand or an M-ideal then it is also lush.
Minkowski Tensors of Anisotropic Spatial Structure
Minkowski Tensors Anisotropic Spatial Structure
2010/12/15
We describe a novel approach to morphology and anisotropy analysis of complex spatial structure using tensorvalued Minkowski functionals, or Minkowski tensors.
Structure of semisimple Hopf algebras of dimension $p^2q^2$
semisimple Hopf algebra semisolvability character biproduct
2010/12/8
Let p, q be prime numbers with p4 < q, and k an algebraically closed field of characteristic 0. We show that semisimple Hopf algebras of dimension p2q2 can be constructed either from group algebras an...
The structure of infinite 2-groups with a unique 2-element subgroup
infinite 2-groups unique 2-element subgroup
2010/11/26
We prove that each infinite 2-group G with a unique 2-element subgroup is isomorphic either to the quasicyclic 2-group C21 or to the infinite group of generalized quaternions Q21. The
latter group is...
Transcendence degree of zero-cycles and the structure of Chow motives
algebraic cycles rational equivalence motives balanced corre-spondence
2010/12/1
In the paper we introduce a transcendence degree of a zero-cycle on a smooth projective variety X and relate it to the structure of the motive of X.