Let ⊲ be a relation between graphs. We say graph G is -ubiquitous if whenever Γ with n for all ∈ N , then one also has ℵ 0 where αG the disjoint union of α many copies . The Ubiquity Conjecture Andreae, well-known open problem in theory infinite graphs, asserts that every locally finite connected ubiquitous respect to minor relation. In this paper we show trees are topological relation, irrespe...

In 1981, Thompson proved that, if n > 1 is any integer and G is any finite subgroup of GLn(C), then G has a semi-invariant of degree at most 4n2. He conjectured that, in fact, there is a universal constant C such that for any n ∈ N and any finite subgroup G < GLn(C), G has a semi-invariant of degree at most Cn. This conjecture would imply that the α-invariant αG(P), as introduced by Tian in 198...

It is shown that analyses at the electroweak scale can be significantly affected due to Landau pole effects in certain regions of the parameter space. This phenomenon arises due to a large magnification of errors of the input parameters mt, αG which have currently a 10 percent uncertainty in their determination. The influence of the Landau pole on the constraint that the scalar SUSY spectrum be...

In this paper we study a particular multidimensional deconvolution problem. The distribution of the noise is assumed to be of the form G(dx) = (1− α)δ(dx) + αg(x)dx, where δ is the Dirac mass at 0 ∈ Rd, g : Rd → [0,∞) is a density and α ∈ [0, 1 2 [. We propose a new minimax estimation procedure, which is not based on a Fourier approach, but on a fixed point method. The performances of the proce...

In [9] Jackowski and McClure gave a homotopy decomposition theorem for the classifying space of a compact Lie group G; their theorem states that for any prime p the space BG can be constructed at p as the homotopy direct limit of a specific diagram involving the classifying spaces of centralizers of elementary abelian p-subgroups of G. In this paper we will prove a parallel algebraic decomposit...

In Section 3 we showed that our method can have more power to detect o-eSNPs. Here we discuss its power to detect SNPs whose functional mechanisms have non-regulatory components. For simplicity we again consider only continuous Yi, Gi, and a single SNP Si in the ordinary linear model, where the variables have all been centered. We now consider the outcome model Yi = G T i αG + αSSi + i1, where ...

With applying of new proposed electromagnetic gravity Lagrangian together with Einstein-Hilbert equation not zero space curvature was derived. The curvature gives “a priory” postulate of equivalence of mass and electro-magnetic field gravity properties. The non-zero trace of energy-stress tensor of electrical field changes space curvature of gravity mass, which yields to prediction of dependenc...

We now introduce some notations for further development. Let α(vi) the set of all ancestors of vi ∈ V and ᾱ(vi) = α(vi) ∪ vi (ancestors and the node itself). Let σ(vi) be the set of all descendants of vi ∈ V and σ̄(vi) = σ(vi)∪vi. Let (vi) be the set of exclusive nodes, those sharing an exclusion edge with vi. Let o(vi) be the set of overlapping nodes, those sharing no edges with vi. Depending o...

Given a partial action α of a group G on an associative algebra A, we consider the crossed product A α G. Using the algebras of multipliers, we generalize a result of Exel (1997) on the associativity of A α G obtained in the context of C∗-algebras. In particular, we prove that A αG is associative, provided that A is semiprime. We also give a criterion for the existence of a global extension of ...

For any finitely generated group G, two complexity functions αG and βG are defined to measure the maximal possible gap between the norm of an automorphism (respectively outer automorphism) of G and the norm of its inverse. Restricting attention to free groups, Fr, the exact asymptotic behaviour of α2 and β2 is computed. For rank r > 3, polynomial lower bounds are provided for αr and βr, and the...