Finite nonabelian <Emphasis Type="Italic">p</Emphasis>-groups having exactly one maximal subgroup with a noncyclic center

We prove here that a nonabelian finite p-group G has exactly one maximal subgroup with a noncyclic center if and only if Z(G) is cyclic and G has exactly one normal abelian subgroup of type (p, p).     

Fracture and Damage Analysis of Crimped Glass Fibre Truss Type Elements

The paper deals with the damage behaviour of special glass fibre reinforced plastic truss type elements, called Polystal profiles, which are widely used as load bearing cables. To connect these profiles with other structural elements steelmade hulls are crimped onto the profiles. The challenge is to detect the optimal crimping ratio (CR) to realize maximum longitudinal loads in restraint systems. By using scanning electron microscopy (SEM) several damage states like fibre pullout and matrix cracking could be observed. To describe the failure behaviour within the rod during crimping a 3D strain based fracture criterion was developed and implemented within the commercial finte element package Abaqus. The verification of this criterion is done by simulating the crimping process followed by tensile tests. The numerical results are compared with the experiments and with the results obtained by SEM. An outlook on further work to improve the failure prediction is given. (© 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)     

A characterization of reflexive spaces of operators

We show that for a linear space of operators M ? B(H₁, H₂) the following assertions are equivalent. (i) M is reflexive in the sense of Loginov-Shulman. (ii) There exists an order-preserving map Ψ = (ψ₁, ψ₂) on a bilattice Bil(M) of subspaces determined by M with P ≤ ψ₁(P,Q) and Q ≤ ψ₂(P,Q) for any pair (P,Q) ∈ Bil(M), and such that an operator T ∈ B(H₁, H₂) lies in M if and only if ψ₂(P,Q)Tψ₁(P,Q) = 0 for all (P,Q) ∈ Bil(M). This extends the Erdos-Power type characterization of weakly closed bimodules over a nest algebra to reflexive spaces.     

Asymptotic behavior of maximum likelihood estimators in a branching diffusion model

In this paper the consistency and asymptotic normality of maximum-likelihood estimations for a super-critical branching diffusion model are obtained under certain conditions on its drift, variance and reproduction law. We proceeded by first studying the limit behavior of the Fisher information measure and related processes, and then verifying conditions established in Barndorff-Nielsen and Sørensen (Int stat Rev 62:133–165, 1994). This in turn uses the Martingale Law of Large Numbers as well as the Martingale Central Limit Theorem.     

ENDOR evidence for the quantum exchange of the methylene protons

ENDOR spectroscopy was used for studying methylene proton couplings in the 6-yl (or H-addition) radical in a single crystal of 1-methyluracil at 4.2K. The two methylene protons were magnetically equivalent in all crystal (radical) orientations in the magnetic field, indicating proton quantum exchange. The two protons compose magnetically single entity with spin I=1. The observed small ENDOR line splittings of about 0.60MHz agree well with the theoretical expectations for such a system.     

Bootstrap percolation in a polluted environment

Let a low densityp of sites on the lattice Z² be occupied, remove a proportionq of them, and call the remaining sites empty. Then update this configuration in discrete time by iteration of the following synchronous rule: an empty site becomes occupied by contact with at least two occupied nearest neighbors, while occupied and removed sites nerver change their states. Ifq/p ² is large most sites remain unoccupied forever, while ifq/p ² is small, this dynamics eventually makes most sites occupied. This demonstrates how sensitive the usual bootstrap percolation rule (theq=0 case) is to the pollution of space.