Windings of the 2D free Rouse chain

We study long time dynamical properties of a chain of harmonically bound Brownian particles. This chain is allowed to wander everywhere in the plane. We show that the scaling variables for the occupation times T_j, areas A_j and winding angles \theta_j (j=1,...,n labels the particles) take the same general form as in the usual Brownian motion. We also compute the asymptotic joint laws P({T_j}), P({A_j}), P({\theta_j}) and discuss the correlations occuring in those distributions.Comment: Latex, 17 pages, submitted to J. Phys.

The development and technology transfer of software engineering technology at NASA. Johnson Space Center

The United State's big space projects of the next decades, such as Space Station and the Human Exploration Initiative, will need the development of many millions of lines of mission critical software. NASA-Johnson (JSC) is identifying and developing some of the Computer Aided Software Engineering (CASE) technology that NASA will need to build these future software systems. The goal is to improve the quality and the productivity of large software development projects. New trends are outlined in CASE technology and how the Software Technology Branch (STB) at JSC is endeavoring to provide some of these CASE solutions for NASA is described. Key software technology components include knowledge-based systems, software reusability, user interface technology, reengineering environments, management systems for the software development process, software cost models, repository technology, and open, integrated CASE environment frameworks. The paper presents the status and long-term expectations for CASE products. The STB's Reengineering Application Project (REAP), Advanced Software Development Workstation (ASDW) project, and software development cost model (COSTMODL) project are then discussed. Some of the general difficulties of technology transfer are introduced, and a process developed by STB for CASE technology insertion is described

Mean-field methods in evolutionary duplication-innovation-loss models for the genome-level repertoire of protein domains

We present a combined mean-field and simulation approach to different models describing the dynamics of classes formed by elements that can appear, disappear or copy themselves. These models, related to a paradigm duplication-innovation model known as Chinese Restaurant Process, are devised to reproduce the scaling behavior observed in the genome-wide repertoire of protein domains of all known species. In view of these data, we discuss the qualitative and quantitative differences of the alternative model formulations, focusing in particular on the roles of element loss and of the specificity of empirical domain classes.Comment: 10 Figures, 2 Table

Bessel bridges decomposition with varying dimension. Applications to finance

We consider a class of stochastic processes containing the classical and well-studied class of Squared Bessel processes. Our model, however, allows the dimension be a function of the time. We first give some classical results in a larger context where a time-varying drift term can be added. Then in the non-drifted case we extend many results already proven in the case of classical Bessel processes to our context. Our deepest result is a decomposition of the Bridge process associated to this generalized squared Bessel process, much similar to the much celebrated result of J. Pitman and M. Yor. On a more practical point of view, we give a methodology to compute the Laplace transform of additive functionals of our process and the associated bridge. This permits in particular to get directly access to the joint distribution of the value at t of the process and its integral. We finally give some financial applications to illustrate the panel of applications of our results

Magnetomechanical effect in nickel and cobalt

The change in magnetization as a result of applied uniaxial stress has been measured in nickel and cobalt. Both tensile and compressive stresses were applied up to 125 MPa. Magnetostriction and anhysteretic magnetization as a function of stress were also measured. The change in magnetization with stress depended on the applied stress and the displacement between the prevailing magnetization and anhysteretic. At the loop tips, nickel showed a +6 mT (compression) and −6 mT (tension) magnetization change while cobalt displayed a +15 mT (compression) and −15 mT (tension) magnetization change. At remanence,nickel decreased in magnetization by 45 mT under either sign of stress, while cobalt decreased by 20 mT also under either sign of stress. Magnetomechanical changes in magnetization near the loop tips were mostly reversible, while at remanence the magnetomechanical change was predominately irreversible. Cobalt generally displayed larger changes in magnetization with stress than nickel at locations close to the loop tips, while the converse was true at locations near remanence. The results confirm the hypothesis that the magnetomechanical effect(dM/dσ) depends on the displacement between the anhysteretic and prevailing magnetization

Forces on Bins - The Effect of Random Friction

In this note we re-examine the classic Janssen theory for stresses in bins, including a randomness in the friction coefficient. The Janssen analysis relies on assumptions not met in practice; for this reason, we numerically solve the PDEs expressing balance of momentum in a bin, again including randomness in friction.Comment: 11 pages, LaTeX, with 9 figures encoded, gzippe

The experience of loneliness among people with a “personality disorder” diagnosis or traits: a qualitative meta-synthesis

BACKGROUND: Loneliness is prevalent among people with a "personality disorder" diagnosis or who have related personality traits, but the experience of loneliness among people with "personality disorder" diagnoses/traits has not been well described. A qualitative approach has potential to help understand the experience of loneliness among people with "personality disorder" diagnoses/traits, and to develop interventions that promote recovery. We therefore aimed to synthesise the qualitative literature relevant to this topic. METHOD: We conducted a meta-synthesis of qualitative studies exploring the subjective experience of loneliness as reported by people with "personality disorder" diagnoses/traits. We searched four databases using pre-formulated search terms, selected eligible articles, appraised the quality of each, and analyzed data from eligible studies using thematic synthesis. RESULT: We identified 39 articles that described the experience of loneliness in people with "personality disorder" diagnoses/traits. From extracted data, we identified seven themes: (1) disconnection and emptiness: a "haunting alienation", (2) alienation arising from childhood experiences, (3) thwarted desire for closeness and connection, (4) paradox: for both closeness and distance, (5) experiences of existential loneliness, (6) recovery, embedded in a social world, and (7) group therapy: a setback. Our results suggest that for our sample early alienating and traumatic experiences may pave the way for experiences of loneliness, which further exacerbate "personality disorder" symptoms and distress. CONCLUSION: Despite describing a need to belong and efforts to cope with unmet social needs, people with "personality disorder" diagnoses/traits (particularly "emotionally unstable personality disorder") report experiencing an intense disconnection from other people. This seems rooted in early adversities, reinforced by later traumatic experiences. Given the apparent salience of loneliness to people with "personality disorder" diagnoses/traits, interventions focused on helping people connect with others, which may include both psychological and social components, have potential to be beneficial in reducing loneliness and promoting recovery

The mental health of lesbian, gay, and bisexual adults compared with heterosexual adults: results of two nationally representative English household probability samples

BACKGROUND: Evidence on inequalities in mental health in lesbian, gay, and bisexual people arises primarily from non-random samples. AIMS: To use a probability sample to study change in mental health inequalities between two survey points, 7 years apart; the contribution of minority stress; and whether associations vary by age, gender, childhood sexual abuse, and religious identification. METHODS: We analysed data from 10 443 people, in two English population-based surveys (2007 and 2014), on common mental disorder (CMD), hazardous alcohol use, and illicit drug use. Multivariable models were adjusted for age, gender, and economic factors, adding interaction terms for survey year, age, gender, childhood sexual abuse, and religious identification. We explored bullying and discrimination as mediators. RESULTS: Inequalities in risks of CMD or substance misuse were unchanged between 2007 and 2014. Compared to heterosexuals, bisexual, and lesbian/gay people were more likely to have CMD, particularly bisexual people [adjusted odds ratio (AOR) = 2.86; 95% CI 1.83-4.46], and to report alcohol misuse and illicit drug use. When adjusted for bullying, odds of CMD remained elevated only for bisexual people (AOR = 3.21; 95% CI 1.64-6.30), whilst odds of alcohol and drug misuse were unchanged. When adjusted for discrimination, odds of CMD and alcohol misuse remained elevated only for bisexual people (AOR = 2.91; 95% CI 1.80-4.72; and AOR = 1.63; 95% CI 1.03-2.57 respectively), whilst odds of illicit drug use remained unchanged. There were no interactions with age, gender, childhood sexual abuse, or religious identification. CONCLUSIONS: Mental health inequalities in non-heterosexuals have not narrowed, despite increasing societal acceptance. Bullying and discrimination may help explain the elevated rate of CMD in lesbian women and gay men but not in bisexual people