Analytical Study of the Julia Set of a Coupled Generalized Logistic Map

A coupled system of two generalized logistic maps is studied. In particular influence of the coupling to the behaviour of the Julia set in two dimensional complex space is analyzed both analytically and numerically. It is proved analytically that the Julia set disappears from the complex plane uniformly as a parameter interpolates from the chaotic phase to the integrable phase, if the coupling strength satisfies a certain condition.Comment: 30pages, 22figure

International Evidence on the Impact of Health-Justice Partnerships: A Systematic Scoping Review

BACKGROUND: Health-justice partnerships (HJPs) are collaborations between healthcare and legal services which support patients with social welfare issues such as welfare benefits, debt, housing, education and employment. HJPs exist across the world in a variety of forms and with diverse objectives. This review synthesizes the international evidence on the impacts of HJPs. METHODS: A systematic scoping review of international literature was undertaken. A wide-ranging search was conducted across academic databases and grey literature sources, covering OECD countries from January 1995 to December 2018. Data from included publications were extracted and research quality was assessed. A narrative synthesis approach was used to analyze and present the results. RESULTS: Reported objectives of HJPs related to: prevention of health and legal problems; access to legal assistance; health improvement; resolution of legal problems; improvement of patient care; support for healthcare services; addressing inequalities; and catalyzing systemic change. There is strong evidence that HJPs: improve access to legal assistance for people at risk of social and health disadvantage; positively influence material and social circumstances through resolution of legal problems; and improve mental wellbeing. A wide range of other positive impacts were identified for individuals, services and communities; the strength of evidence for each is summarized and discussed. CONCLUSION: HJPs are effective in tackling social welfare issues that affect the health of disadvantaged groups in society and can therefore form a key part of public health strategies to address inequalities

Informal Carers' Perspectives on the Delivery of Acute Hospital Care for Patients with Dementia: A Systematic Review

Background: Providing high quality acute hospital care for patients with dementia is an increasing challenge as the prevalence of the disease rises. Informal carers of people with dementia are a critical resource for improving inpatient care, due to their insights into patients’ needs and preferences. We summarise informal carers’ perspectives of acute hospital care to inform best practice service delivery. Methods: We conducted a systematic search of bibliographic databases and sought relevant grey literature. We used thematic synthesis analysis to assimilate results of the studies and describe components of care that influence perceived quality. Results: Twenty papers met the inclusion criteria. Findings identified four overarching components of care that influenced carer experience and their perceptions of care quality: ‘Patient care’, ‘Staff interactions’, ‘Carer’s situation’ and ‘Hospital environment’. Need for improvement was identified in staff training, provision of help with personal care needs, and dignified treatment of patients. Carers need to be informed, involved and supported during hospital admission in order to promote the most positive experience. Conclusion: This review identifies common perspectives of informal carers of people with dementia in the acute hospital setting and highlights important areas to address to improve the experience of an admission for both carer and patient

On the Plants Leaves Boundary, "Jupe \`a Godets" and Conformal Embeddings

The stable profile of the boundary of a plant's leaf fluctuating in the direction transversal to the leaf's surface is described in the framework of a model called a "surface \`a godets". It is shown that the information on the profile is encoded in the Jacobian of a conformal mapping (the coefficient of deformation) corresponding to an isometric embedding of a uniform Cayley tree into the 3D Euclidean space. The geometric characteristics of the leaf's boundary (like the perimeter and the height) are calculated. In addition a symbolic language allowing to investigate statistical properties of a "surface \`a godets" with annealed random defects of curvature of density $q$ is developed. It is found that at $q=1$ the surface exhibits a phase transition with critical exponent $\alpha=1/2$ from the exponentially growing to the flat structure.Comment: 17 pages (revtex), 8 eps-figures, to appear in Journal of Physics

Aspects of Black Hole Quantum Mechanics and Thermodynamics in 2+1 Dimensions

We discuss the quantum mechanics and thermodynamics of the (2+1)-dimensional black hole, using both minisuperspace methods and exact results from Chern-Simons theory. In particular, we evaluate the first quantum correction to the black hole entropy. We show that the dynamical variables of the black hole arise from the possibility of a deficit angle at the (Euclidean) horizon, and briefly speculate as to how they may provide a basis for a statistical picture of black hole thermodynamics.Comment: 20 pages and 2 figures, LaTeX, IASSNS-HEP-94/34 and UCD-94-1

Invariant varieties of periodic points for some higher dimensional integrable maps

By studying various rational integrable maps on $\mathbf{\hat C}^d$ with $p$ invariants, we show that periodic points form an invariant variety of dimension $\ge p$ for each period, in contrast to the case of nonintegrable maps in which they are isolated. We prove the theorem: {\it `If there is an invariant variety of periodic points of some period, there is no set of isolated periodic points of other period in the map.'}Comment: 24 page

Learning from our peer educators: a guide for integrating and reflecting participatory youth research in the A+ assessment country case studies

This guide is a tool that can be used by Member Associations and other organizations to plan and implement future participatory research and/or programme assessments with young people. It covers the case-study component of the A+ programme global assessment and covers the methodology, agenda, approaches and exercises that the assessment team members used during four country visits. It covers face-toface interaction and research with different stakeholders at country level, The focus during the case-study visits was on capturing youth perspectives and generating Member Association support and initial capacity for using a participatory evaluation approach, involving youth-led research, analysis and discussion