Completion of a Prüfer domain

AbstractLet V (resp. D) be a valuation domain (resp. SFT Prüfer domain), I a proper ideal, and V̂ (resp. D̂) be the I-adic completion of V (resp. D). We show that (1) V̂ is a valuation domain, (2) Krull dimension of V̂=dimV/I+1 if I is not idempotent, V̂≅V/I if I is idempotent, (3) dimD̂=dimD/I+1, (4) D̂ is an SFT Prüfer ring, and (5) D̂ is a catenarian ring

Exotic Smooth Structures on Small 4-Manifolds

Let M be either CP^2#3CP^2bar or 3CP^2#5CP^2bar. We construct the first example of a simply-connected symplectic 4-manifold that is homeomorphic but not diffeomorphic to M.Comment: 11 page

The Krull dimension of power series rings over non-SFT rings

AbstractLet R be a commutative ring with identity. We show that the Krull dimension of the power series ring R〚X〛 can be uncountably infinite, i.e., there exists an uncountably infinite chain of prime ideals in R〚X〛, even if dimR is finite. In fact, we show that dimR〚X〛 is uncountably infinite if R is a non-SFT ring, which is an improvement of Arnold’s result

[Accepted Manuscript] Optimizing tubal ligation service delivery: a prospective cohort study to measure the task-sharing experience of Marie Stopes International Ethiopia.

The Ethiopian government implements a progressive task-sharing policy for health services as a strategy to address shortages of highly skilled providers and increase access to critical services, such as family planning. Since 2009, Marie Stopes International Ethiopia has trained health officers to provide tubal ligations, a permanent method of family planning, as part of its task-sharing strategy. The objectives of this research were to evaluate task-sharing tubal ligations to health officers at Marie Stopes International Ethiopia, specifically: (a) to investigate safety, as measured by the proportion of major adverse events; (b) to evaluate the feasibility, as measured by adherence to the standard tubal ligation procedure protocol and (c) to investigate acceptability to clients of the tubal ligation procedure provided by health officers. We established a prospective cohort of women aged  ≥18 years presenting for tubal ligation at Marie Stopes International Ethiopia sites in three regions in Ethiopia (March-May 2014). Data on adverse events (incomplete procedure, pain, bleeding, infection, perforation) were collected intra-operatively; peri-operatively (1-h post-procedure); and post-operatively (7 days post-procedure). To measure feasibility, 65% of procedures were selected for 'audit', where a nurse observed and scored health officers adherence to standard protocol using an 18-item checklist. To assess acceptability, women were asked about their satisfaction with the procedure. In total, 276 women were enrolled in the study. 97.5% of procedures took place in rural settings. All participants were followed up 7 days post-procedure (100% response rate). The overall proportion of major adverse events was 3% (95% CI 1-6%). The most frequent adverse event was 'failure to complete the TL' (2.2%, n = 6). The average score on protocol adherence was 96.9%. Overall, 98.2% (n = 271) of clients would recommend the procedure to a friend. Findings from this study, indicating safety, feasibility and acceptability, are consistent with the existing literature, which indicate safety and acceptability for task-sharing tubal ligations, and other methods of contraception with non-physician health providers. This study adds to scant literature on task-sharing tubal ligations in rural and low-resource settings.<br/

Shot noise in tunneling transport through molecules and quantum dots

We consider electrical transport through single molecules coupled to metal electrodes via tunneling barriers. Approximating the molecule by the Anderson impurity model as the simplest model which includes Coulomb charging effects, we extend the ``orthodox'' theory to expand current and shot noise systematically order by order in the tunnel couplings. In particular, we show that a combined measurement of current and shot noise reveals detailed information of the system even in the weak-coupling limit, such as the ratio of the tunnel-coupling strengths of the molecule to the left and right electrode, and the presence of the Coulomb charging energy. Our analysis holds for single-level quantum dots as well.Comment: 8 page

Mesons and nucleons from holographic QCD in a unified approach

We investigate masses and coupling constants of mesons and nucleons within a hard wall model of holographic QCD in a unified approach. We first examine an appropriate form of fermionic solutions by restricting the mass coupling for the five dimensional bulk fermions and bosons. We then derive approximated analytic solutions for the nucleons and the corresponding masses in a small mass coupling region. In order to treat meson and nucleon properties on the same footing, we introduce the same infrared (IR) cut in such a way that the meson-nucleon coupling constants, i.e., g_{pi NN} and g_{rho NN} are uniquely determined. The first order approximation with respect to a dimensionless expansion parameter, which is valid in the small mass coupling region, explicitly shows difficulties to avoid the IR scale problem of the hard wall model. We discuss possible ways of circumventing these problems.Comment: 15 pages, No figure. Several typos have been remove

Exotic smooth structures on 4-manifolds with zero signature

For every integer $k\geq 2$, we construct infinite families of mutually nondiffeomorphic irreducible smooth structures on the topological $4$-manifolds $(2k-1)(S^2\times S^2)$ and (2k-1)(\CP#\CPb), the connected sums of $2k-1$ copies of $S^2\times S^2$ and \CP#\CPb.Comment: 6 page

Study of the multi-species annihilating random walk transition at zero branching rate - cluster scaling behavior in a spin model

Numerical and theoretical studies of a one-dimensional spin model with locally broken spin symmetry are presented. The multi-species annihilating random walk transition found at zero branching rate previously is investigated now concerning the cluster behaviour of the underlying spins. Generic power law behaviors are found, besides the phase transition point, also in the active phase with fulfillment of the hyperscaling law. On the other hand scaling laws connecting bulk- and cluster exponents are broken - a possibility in no contradiction with basic scaling assumptions because of the missing absorbing phase.Comment: 7 pages, 6 figures, final form to appear in PRE Nov.200

Phase transition classes in triplet and quadruplet reaction diffusion models

Phase transitions of reaction-diffusion systems with site occupation restriction and with particle creation that requires n=3,4 parents, whereas explicit diffusion of single particles (A) is present are investigated in low dimensions by mean-field approximation and simulations. The mean-field approximation of general nA -> (n+k)A, mA -> (m-l)A type of lattice models is solved and novel kind of critical behavior is pointed out. In d=2 dimensions the 3A -> 4A, 3A -> 2A model exhibits a continuous mean-field type of phase transition, that implies d_c<2 upper critical dimension. For this model in d=1 extensive simulations support a mean-field type of phase transition with logarithmic corrections unlike the Park et al.'s recent study (Phys. Rev E {\bf 66}, 025101 (2002)). On the other hand the 4A -> 5A, 4A -> 3A quadruplet model exhibits a mean-field type of phase transition with logarithmic corrections in d=2, while quadruplet models in 1d show robust, non-trivial transitions suggesting d_c=2. Furthermore I show that a parity conserving model 3A -> 5A, 2A->0 in d=1 has a continuous phase transition with novel kind of exponents. These results are in contradiction with the recently suggested implications of a phenomenological, multiplicative noise Langevin equation approach and with the simulations on suppressed bosonic systems by Kockelkoren and Chat\'e (cond-mat/0208497).Comment: 8 pages, 10 figures included, Updated with new data, figures, table, to be published in PR

Single-filament Composite MgB2/SUS Ribbons by Powder-In-Tube Process

We report the successful fabrication of single-filament composite MgB2/SUS ribbons, as an ultra-robust conductor type, employing the powder-in-tube (PIT) process, by swaging and cold rolling only. The remarkable transport critical current (Ic) of the non-sintered MgB2/SUS ribbon has observed, as an unexpected result. Transport critical currents Ic ~ 316 A at T = 4.2 K and Ic ~ 82 A at T = 20 K were observed at self-field, for the non-sintered composite MgB2/SUS ribbon. In addition, the persistent current density Jp values, that were estimated by Bean formula, were more than ~ 7 &#61620; 105 A/cm2 at T = 5 K, and ~ 1.2 &#61620; 105 A/cm2 at T = 30 K, for the sintered composite MgB2/SUS ribbon, at H = 0 G.Comment: 10 pages, 4 figure