Fractal sets satisfying the strong open set condition in complete metric spaces

Let $K$ be a Hutchinson fractal in a complete metric space $X$, invariant under the action $S$ of the union of a finite number of Lipschitz contractions. The Open Set Condition states that $X$ has a non-empty subinvariant bounded open subset $V$, whose images under the maps are disjoint. It is said to be strong if $V$ meets $K$. We show by a category argument that when $K \not\subset V$ and the restrictions of the contractions to $V$ are open, the strong condition implies that $\check{V}=\bigcap_{n=0}^{\infty} S^n(V)$, termed the core of $V$ , is non-empty. In this case, it is an invariant, proper, dense, subset of $K$, made up of points whose addresses are unique. Conversely, $\check{V}\neq \emptyset$ implies the SOSC, without any openness assumption

Combining T2K with other experiments to better constrain oscillation parameters

This thesis presents an analysis of T2K data using a new external reactor constraint from Daya Bay instead of the regular one-dimensional Gaussian provided by the Particle Data Group (PDG). Both the PDG and Daya Bay data sets can be used to update the prior of given parameters in the T2K analyses. Applying Daya Bay’s two-dimensional constraint on the mixing angle θ₁₃ and mass splitting Δm² ₃₂ improves the constraint on the mass splitting parameter by 25% in normal hierarchy and 18% in inverted hierarchy compared to using the PDG external prior. Furthermore, denoted with a Bayes factor value which compares two hypotheses using the posterior results, it was found that there was a small increase in the preference for normal hierarchy over inverted hierarchy, B(NH/IH): PDG = 2.77 and Daya Bay = 2.79. There was a slightly larger increase for the upper octant in the octant degeneracy, B(UO/LO): PDG = 2.27 and Daya Bay = 2.38. The thesis also describes development work towards the first full joint-fit between two long baseline experiments, T2K and NOvA, showcasing the increase in statistical sensitivity for the oscillation parameters and the potential to solve some of the current degeneracies limiting the sensitivity of both experiments. Finally, there is an introductory insight into an alternate parameterisation of neutrino oscillations that could be used to better understand the constraint from the T2K data

Predictors of Occupational Competence in People Hospitalized with Chronic Conditions

Background: Chronic diseases limit participation in meaningful daily activities, roles, and routines, which can negatively impact occupational competence, a sense of self, and life satisfaction, especially when hospitalization is required to manage disease symptoms. Standardized measures of occupational competence and related functional, cognitive, and environmental factors may enhance occupational therapists’ ability to identify potential barriers to and make targeted recommendations for self- and health management in the community. Method: This cross-sectional study investigated occupational competence in patients hospitalized with chronic conditions. The participants completed measures of occupational competence, values, self-care function, environmental impact, and functional cognition while hospitalized. Results: The participants (n = 51) reported moderate to high levels of occupational competence. The overall regression model was significant. Values, self-care function, and environmental impact were significant predictors of occupational competence. Conclusion: Values, self-care function, and environmental impact predict occupational competence in people hospitalized with chronic conditions. Occupational therapists should incorporate standardized measures of occupational competence, values, self-care function, and environmental impact into current evaluation practices to support recommendations for follow-up care and community supports. Future research should include a larger sample that is more representative of an occupational therapy caseload and incorporate alternative measures of functional cognition to better measure this construct

Predictors of Hospital Readmissions for People with Chronic Conditions

Background: Hospital readmissions remain prominent in health care. Functional, cognitive, and environmental factors predict hospital readmissions but may not be thoroughly measured or addressed prior to discharge. Method: In this cross-sectional study, people hospitalized with chronic conditions completed measures of self-care function, functional cognition, occupational competence, and environmental impact. They also participated in a phone call or medical records review to identify hospital readmissions within 30 days of discharge. In a group session, occupational therapists who work in acute care completed acceptability, appropriateness, and feasibility measures for the standardized assessments administered to hospital participants. Results: Occupational competence and functional cognition were significant predictors of hospital readmissions. Therapists rated the Activity Measure of Post-Acute Care (AM-PAC) as the most acceptable, appropriate, and feasible measure for acute care. Conclusions: Occupational competence and functional cognition are predictors of hospital readmissions in people with chronic conditions. Occupational therapists in acute care should consider supplementing current evaluation practices with standardized measures of functional cognition and occupational competence to identify client needs objectively and initiate post-acute referrals that help clients discharge home successfully. Standardized measures, such as the AM-PAC may be feasible in acute care. Further research on the efficacy of standardized measures in this setting is needed

Dynamical Evolution of Elliptical Galaxies with Central Singularities

We study the effect of a massive central singularity on the structure of a triaxial galaxy using N-body simulations. Starting from a single initial model, we grow black holes with various final masses Mh and at various rates, ranging from impulsive to adiabatic. In all cases, the galaxy achieves a final shape that is nearly spherical at the center and close to axisymmetric throughout. However, the rate of change of the galaxy's shape depends strongly on the ratio Mh/Mg of black hole mass to galaxy mass. When Mh/Mg < 0.3%, the galaxy evolves in shape on a timescale that exceeds 100 orbital periods, or roughly a galaxy lifetime. When Mh/Mg > 2%, the galaxy becomes axisymmetric in little more than a crossing time. We propose that the rapid evolution toward axisymmetric shapes that occurs when Mh/Mg > 2% provides a negative feedback mechanism which limits the mass of central black holes by cutting off their supply of fuel.Comment: 27 Latex pages, 9 Postscript figures, uses aastex.sty. Accepted for Publication in The Astrophysical Journal, Nov. 26, 199

Mosquitoborne Infections after Hurricane Jeanne, Haiti, 2004

After Hurricane Jeanne in September 2004, surveillance for mosquitoborne diseases in Gonaïves, Haiti, identified 3 patients with malaria, 2 with acute dengue infections, and 2 with acute West Nile virus infections among 116 febrile patients. These are the first reported human West Nile virus infections on the island of Hispaniola

New evidence for a massive black hole at the centre of the quiescent galaxy M32

Massive black holes are thought to reside at the centres of many galaxies, where they power quasars and active galactic nuclei. But most galaxies are quiescent, indicating that any central massive black hole present will be starved of fuel and therefore detectable only through its gravitational influence on the motions of the surrounding stars. M32 is a nearby, quiescent elliptical galaxy in which the presence of a black hole has been suspected; however, the limited resolution of the observational data and the restricted classes of models used to interpret this data have made it difficult to rule out alternative explanations, such as models with an anisotropic stellar velocity distribution and no dark mass or models with a central concentration of dark objects (for example, stellar remnants or brown dwarfs). Here we present high-resolution optical HST spectra of M32, which show that the stellar velocities near the centre of this galaxy exceed those inferred from previous ground-based observations. We use a range of general dynamical models to determine a central dark mass concentration of (3.4 +/- 1.6) x 10^6 solar masses, contained within a region only 0.3 pc across. This leaves a massive black hole as the most plausible explanation of the data, thereby strengthening the view that such black holes exist even in quiescent galaxies.Comment: 8 pages, LaTeX, 3 figures; mpeg animation of the stellar motions in M32 available at http://oposite.stsci.edu/pubinfo/Anim.htm

Multimodal Management of Atrophic Acne Scarring in the Aging Face

Atrophic facial acne scarring is a widely prevalent condition that can have a negative impact on a patient’s quality of life. The appearance of these scars is often worsened by the normal effects of aging. A number of options are available for the treatment of acne scarring, including chemical peeling, dermabrasion, ablative or nonablative laser resurfacing, dermal fillers, and surgical techniques such as subcision or punch excision. Depending on the type and extent of scarring, a multimodal approach is generally necessary to provide satisfactory results. Resurfacing techniques correct surface irregularities, long-lasting dermal fillers address the volume loss resulting from acne, and sub-superficial musculoaponeurotic system (SMAS) face-lift procedures counter the soft tissue laxity and ptosis associated with aging. This article briefly reviews the evolution of individual approaches to treating atrophic acne scarring, followed by case examples illustrating results that can be achieved using a multimodal approach. Representative cases from patients in their 30s, 40s, and 50s are presented. In the author’s clinical practice, multimodal approaches incorporating fractionated laser, injectable poly-l-lactic acid, and sub-SMAS face-lift procedures have achieved optimal aesthetic outcomes, high patient satisfaction, and durability of aesthetic effect over time

Group Process and Organizational Environment: Student Organizations in the University

Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/68768/2/10.1177_089976407400300305.pd