Non-Coexistence of Infinite Clusters in Two-Dimensional Dependent Site Percolation

This paper presents three results on dependent site percolation on the square lattice. First, there exists no positively associated probability measure on {0,1}^{Z^2} with the following properties: a) a single infinite 0cluster exists almost surely, b) at most one infinite 1*cluster exists almost surely, c) some probabilities regarding 1*clusters are bounded away from zero. Second, we show that coexistence of an infinite 1*cluster and an infinite 0cluster is almost surely impossible when the underlying probability measure is ergodic with respect to translations, positively associated, and satisfies the finite energy condition. The third result analyses the typical structure of infinite clusters of both types in the absence of positive association. Namely, under a slightly sharpened finite energy condition, the existence of infinitely many disjoint infinite self-avoiding 1*paths follows from the existence of an infinite 1*cluster. The same holds with respect to 0paths and 0clusters.Comment: 17 pages, 1 figur

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

Conformal Field Theory and Hyperbolic Geometry

We examine the correspondence between the conformal field theory of boundary operators and two-dimensional hyperbolic geometry. By consideration of domain boundaries in two-dimensional critical systems, and the invariance of the hyperbolic length, we motivate a reformulation of the basic equation of conformal covariance. The scale factors gain a new, physical interpretation. We exhibit a fully factored form for the three-point function. A doubly-infinite discrete series of central charges with limit c=-2 is discovered. A correspondence between the anomalous dimension and the angle of certain hyperbolic figures emerges. Note: email after 12/19: [email protected]: 7 pages (PlainTeX

Love, sexual rights and young people: learning from our peer educators how to be a youth centred organisation

International Planned Parenthood Federations's A+ programme to realising youth sexual rights was highly ambitious and complex in its approach and both its geographical and programmatic reach. Working in diverse cultural and political contexts and encountering deep-rooted attitudes and beliefs were challenges that were often overcome through innovation by young people themselves. The participatory design of this wide-reaching assessment has produced a rich analysis of what works and what does not, along with innovative examples of youth-led and youth-centred initiatives around the world that can be shared with others. It also gives clear evidence of how putting young people firmly at the centre of youth programmes can improve communication, participation, empowerment, rights, health and education. The assessment also offers a socio-ecological model to build commitment to youth programming in organisations and communities. It places young people at the centre of the process, and gives due attention to the local context to help organisations become genuinely youth-centred. These findings will inspire IPPF and, we hope, others to move forward on a journey of organisational development. The ultimate vision is young people’s increased confidence, empowerment and autonomy in decision making, in an environment that is supportive of realising their rights. We hope that renewed commitment to youth led programming and continued sharing of learning will help us achieve this vision

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

Systoles on Compact Riemann Surfaces with Symbolic Dynamics

In this chapter, systolic inequalities are established, precise values are computed, and their behavior is also examined with the variation of the Fenchel– Nielsen coordinates on a compact Riemann surface of genus 2

Kick stability in groups and dynamical systems

We consider a general construction of ``kicked systems''. Let G be a group of measure preserving transformations of a probability space. Given its one-parameter/cyclic subgroup (the flow), and any sequence of elements (the kicks) we define the kicked dynamics on the space by alternately flowing with given period, then applying a kick. Our main finding is the following stability phenomenon: the kicked system often inherits recurrence properties of the original flow. We present three main examples. 1) G is the torus. We show that for generic linear flows, and any sequence of kicks, the trajectories of the kicked system are uniformly distributed for almost all periods. 2) G is a discrete subgroup of PSL(2,R) acting on the unit tangent bundle of a Riemann surface. The flow is generated by a single element of G, and we take any bounded sequence of elements of G as our kicks. We prove that the kicked system is mixing for all sufficiently large periods if and only if the generator is of infinite order and is not conjugate to its inverse in G. 3) G is the group of Hamiltonian diffeomorphisms of a closed symplectic manifold. We assume that the flow is rapidly growing in the sense of Hofer's norm, and the kicks are bounded. We prove that for a positive proportion of the periods the kicked system inherits a kind of energy conservation law and is thus superrecurrent. We use tools of geometric group theory and symplectic topology.Comment: Latex, 40 pages, revised versio