The many-to-many social communication activity on the popular technology-news website Slashdot has been studied. We have concentrated on the dynamics of message production without considering semantic relations and have found regular temporal patterns in the reaction time of the community to a news-post as well as in single user behavior. The statistics of these activities follow log-normal dis...

Let G be a compact connected Lie group with maximal torus T , and H a closed subgroup containing T . We compute the equivariant cohomology ring and the equivariant characteristic numbers of the homogeneous space G/H under the natural action of the maximal torus T . The computation is based on the localization theorems of Borel and of Atiyah-Bott-Berline-Vergne. Let G be a compact connected Lie ...

Let G be a simply connected algebraic group over a field k of characteristic 0, H a connected k-subgroup of G, X = H\G. When k is a local field or a number field, we compute the set of Brauer equivalence classes in X(k). 0. Introduction In this note we investigate the Brauer equivalence in a homogeneous space X = H\G, where G is a simply connected algebraic group over a local field or a number ...

High dimensional space is the biggest problem when classification process is carried out, because it takes longer time for computation, so that the costs involved are also expensive. In this research, the facial space generated from homogeneous and non-homogeneous polynomial was proposed to extract the facial image features. The homogeneous and non-homogeneous polynomial-based eigenspaces are t...

Under GCH, k(X) _< ~(X) for every homogeneous compactum X. CH implies that a homogeneous compactum of countable ~r-weight is first countable. There is a compact space of countable 7r-weight and uncountable character which is homogeneous under MA+-~CH, but not under CH.

We construct several new examples of homogeneous domains in complex space that do not have bounded realisations. They are equivalent to tubes over affinely homogeneous domains in real space and have a real-analytic everywhere Levi non-degenerate non-umbilic boundary. Using the geometry of the boundary, we determine the full automorphism groups of the domains. We also discuss some interesting ex...

By using properties of the Young orthogonal representation, this paper derives a simple form for the Fourier transform of permutations acting on the homogeneous space of n-dimensional vectors, and shows that the transform requires 2n− 2 multiplications and the same number of additions.

Let A" be a compact Hausdorff homogeneous space and G be the full group of homeomorphisms from X to X. We denote the isotropy group at x by Gx. If G is topologized by uniform convergence [l], then it is well known that G is a topological group, and the function 6: G/GX—*X, defined by 6{gGx)=g{x) is one-one and continuous. It is an open problem whether ô is a homeomorphism, i.e., whether X is a ...

We introduce in this paper the notion homogeneous metric space on the Galois field GF (p) , where p is a prime natural number. We show that homogeneous weight enumerators of some linear codes over GF (p) are Hamming weight enumerators of some of their p-ary images. It is also proved that in some cases, the MacWilliams Identity holds for homogeneous metric spaces.

We exhibit an example of a homogeneous Lorentzian manifold G/H whose homogeneous geodesics form just the light-cone and a hyperplane in the tangent space. For all light-like homogeneous geodesics, the natural parameter of the orbit is not the affine parameter of the geodesic.