Recently Blecher and Kashyap have generalized the notion of W* modules over von Neumann algebras to the setting where the operator algebras are \sigma- weakly closed algebras of operators on a Hilbert space. They call these modules weak* rigged modules. We characterize the weak* rigged modules over nest algebras . We prove that Y is a right weak* rigged module over a nest algebra Alg(M) if and only if there exists a completely isometric normal representation \phi of Y and a nest algebra Alg(N) such that Alg(N)\phi(Y)Alg(M) \subset \phi(Y) while \phi(Y) is implemented by a continuous nest homomorphism from M onto N. We describe some properties which are preserved by continuous CSL homomorphisms.

We report on theoretical and numerical study of propagation of atomic beams crossing a detuned standing-wave laser beam in the geometric optics limit. The interplay between external and internal atomic degrees of freedom is used to manipulate the atomic motion along the optical axis by light. By adjusting the atom-laser detuning, we demonstrate how to focus, split and scatter atomic beams in a real experiment. The novel effect of chaotic scattering of atoms at a regular near-resonant standing wave is found numerically and explained qualitatively. Some applications of the effects found are discussed.

{p=[Background, Idiopathic and familial forms of pulmonary arterial hypertension (PAH) occur more frequently in women than men. However, the reason for this remains unknown. Both the calcium binding protein S100A4/Mts1 (Mts1) and its endogenous receptor (receptor for advanced glycosylation end products; RAGE) have been implicated in the development of PAH. We wished to investigate if the Mts1/RAGE pathway may play a role in the gender bias associated with PAH., Methods, We investigated the effects of gender on development of PAH in mice over-expressing Mts1 (Mts1+ mice) via measurement of pulmonary arterial remodeling, systolic right ventricular pressure (sRVP) and right ventricular hypertrophy (RVH). Gender differences in pulmonary arterial Mts1 and RAGE expression were assessed by qRT-PCR and immunohistochemistry. Western blotting and cell counts were used to investigate interactions between 17β-estradiol, Mts1 and RAGE on proliferation of human pulmonary artery smooth muscle cells (hPASMCs). Statistical analysis was by one-way analysis of variance with Dunnetts post test or two-way analysis of variance with Bonferronis post test, as appropriate., Results, Female Mts1+ mice developed increased sRVP and pulmonary vascular remodeling, whereas male Mts1+ mice remained unaffected. The development of plexiform-like lesions in Mts1+ mice was specific to females. These lesions stained positive for both Mts1 and RAGE in the endothelial and adventitial layers. Expression of pulmonary arterial Mts1 was greater in female than male Mts1+ mice, and was localised to the medial and adventitial layers in non plexiform-like pulmonary arteries. RAGE gene expression and immunoreactivity were similar between male and female Mts1+ mice and RAGE staining was localised to the endothelial layer in non plexiform-like pulmonary arteries adjacent to airways. In non-plexiform like pulmonary arteries not associated with airways RAGE staining was present in the medial and adventitial layers. Physiological concentrations of 17β-estradiol increased Mts1 expression in hPASMCs. 17β-estradiol-induced hPASMC proliferation was inhibited by soluble RAGE, which antagonises the membrane bound form of RAGE., Conclusions, Mts1 over-expression combined with female gender is permissive to the development of experimental PAH in mice. Up-regulation of Mts1 and subsequent activation of RAGE may contribute to 17β-estradiol-induced proliferation of hPASMCs.], h1=Abstract}

We present our recent results on the Prandtl-Meyer reflection for supersonic potential flow past a solid ramp. When a steady supersonic flow passes a solid ramp, there are two possible configurations: the weak shock solution and the strong shock solution. Elling-Liu's theorem (2008) indicates that the steady supersonic weak shock solution can be regarded as a long-time asymptotics of an unsteady flow for a class of physical parameters determined by certain assumptions for potential flow. In this paper we discuss our recent progress in removing these assumptions and establishing the stability theorem for steady supersonic weak shock solutions as the long-time asymptotics of unsteady flows for all the physical parameters for potential flow. We apply new mathematical techniques developed in our recent work to obtain monotonicity properties and uniform apriori estimates for weak solutions, which allow us to employ the Leray-Schauder degree argument to complete the theory for the general case.

We consider Voevodsky's slice tower for a finite spectrum E in the motivic stable homotopy category over a perfect field k. In case k has finite cohomological dimension (in characteristic two, we also require that k is infinite), we show that the slice tower converges, in that the induced filtration on the bi-graded homotopy sheaves for each term in the tower for E is finite, exhaustive and separated at each stalk. This partially verifies a conjecture of Voevodsky.

We describe an algorithm for improving subsequent parton shower emissions by full SU(3) color correlations in the framework of a dipole-type shower. As a proof of concept, we present results from the first implementation of such an algorithm for a final state shower. The corrections are found to be small for event shapes and jet rates but can be more significant for tailored observables.

{p=[Background, Inhaled corticosteroids are the recommended first-line treatment for asthma but adherence to therapy is suboptimal. The objectives of this study were to compare the efficacy and safety of once-daily (OD) evening and twice-daily (BD) regimens of the novel inhaled corticosteroid fluticasone furoate (FF) in asthma patients., Methods, Patients with moderate asthma (age ≥ 12 years; pre-bronchodilator forced expiratory volume in 1 second (FEV_1) 40-85% predicted; FEV_1 reversibility of ≥ 12% and ≥ 200 ml) were randomized to FF or fluticasone propionate (FP) regimens in a double-blind, crossover study. Patients were not permitted to have used any ICS for ≥ 8 weeks prior to enrolment and subsequently received doses of FF or FP 200 μg OD, FF or FP 100 μg BD and matching placebo by inhalation for 28 days each. Primary endpoint was Day 28 evening pre-dose (trough) FEV_1; non-inferiority of FF 200 μg OD and FF 100 μg BD was assessed, as was superiority of all active treatment relative to placebo. Adverse events (AEs) and 24-hour urinary cortisol excretion were assessed., Results, The intent-to-treat population comprised 147 (FF) and 43 (FP) patients. On Day 28, pre-dose FEV_1 showed FF 200 μg OD to be non-inferior (pre-defined limit -110 ml) to FF 100 μg BD (mean treatment difference 11 ml; 95% CI: -35 to +56 ml); all FF and FP regimens were significantly superior to placebo (p ≤ 0.02). AEs were similar to placebo; no serious AEs were reported. Urinary cortisol excretion at Day 28 for FF was lower than placebo (ratios: 200 μg OD, 0.75; 100 μg BD, 0.84; p ≤ 0.02)., Conclusions, FF 200 μg OD in the evening is an efficacious and well tolerated treatment for asthma patients and is not inferior to the same total BD dose., Trial registration, Clinicaltrials.gov; NCT00766090 .], h1=Abstract}