Invasion percolation on regular trees

We consider invasion percolation on a rooted regular tree. For the infinite cluster invaded from the root, we identify the scaling behavior of its $r$-point function for any $r\geq2$ and of its volume both at a given height and below a given height. We find that while the power laws of the scaling are the same as for the incipient infinite cluster for ordinary percolation, the scaling functions differ. Thus, somewhat surprisingly, the two clusters behave differently; in fact, we prove that their laws are mutually singular. In addition, we derive scaling estimates for simple random walk on the cluster starting from the root. We show that the invasion percolation cluster is stochastically dominated by the incipient infinite cluster. Far above the root, the two clusters have the same law locally, but not globally. A key ingredient in the proofs is an analysis of the forward maximal weights along the backbone of the invasion percolation cluster. These weights decay toward the critical value for ordinary percolation, but only slowly, and this slow decay causes the scaling behavior to differ from that of the incipient infinite cluster.Comment: Published in at http://dx.doi.org/10.1214/07-AOP346 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org

USING INTERNATIONAL COLLABORATIONS TO SHAPE RESEARCH AND INNOVATION INTO CARE HOMES IN BRAZIL: A WHITE PAPER

© 2020 The Author(s).The Brazilian care home sector is underdeveloped, and the limited available evidence suggests that care quality falls below international standards. Development of the Brazilian care home sector could be associated with better outcomes for those receiving care, and more efficient use of resources across health and social care. Research has an important role to play. This article summarises research priorities for Brazilian long-term care homes developed as part of an international workshop held in Brazil and the UK, and attended by 71 clinicians and researchers from 6 Brazilian Universities, supported by an international faculty of 8 Brazilian, 8 British, 2 Dutch and 1 Austrian academics. The research priorities identified were: understanding and supporting multidisciplinary working in care homes, with emphasis on describing availability of multidisciplinary teams and how they operate; dignity and sensitivity to cultural needs, with emphasis on collating accounts from Brazilian stakeholders about dignity in care and how it can be delivered; enriching the care home environment with art, music and gardens, with a focus on developing arts in the care home space in a way that is sensitive to Brazilian cultural identity; and benchmarking quality of care, with emphasis on exploring how international quality benchmarking tools can be adapted for use in Brazilian care homes, taking account of new initiatives to include person-centred outcomes as part of benchmarking. Instrumental to research in these priority areas will be establishing care home research capacity in Brazil.Peer reviewedFinal Published versio

An Incremental Iterated Response Model of Pragmatics

Recent Iterated Response (IR) models of pragmatics conceptualize language use as a recursive process in which agents reason about each other to increase communicative efficiency. These models are generally defined over complete utterances. However, there is substantial evidence that pragmatic reasoning takes place incrementally during production and comprehension. We address this with an incremental IR model. We compare the incremental and global versions using computational simulations, and we assess the incremental model against existing experimental data and in the TUNA corpus for referring expression generation, showing that the model can capture phenomena out of reach of global versions

Setting priorities to inform assessment of care homes’ readiness to participate in healthcare innovation: a systematic mapping review and consensus process

© 2020 The Author(s). This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly citedOrganisational context is known to impact on the successful implementation of healthcare initiatives in care homes. We undertook a systematic mapping review to examine whether researchers have considered organisational context when planning, conducting, and reporting the implementation of healthcare innovations in care homes. Review data were mapped against the Alberta Context Tool, which was designed to assess organizational context in care homes. The review included 56 papers. No studies involved a systematic assessment of organisational context prior to implementation, but many provided post hoc explanations of how organisational context affected the success or otherwise of the innovation. Factors identified to explain a lack of success included poor senior staff engagement, non-alignment with care home culture, limited staff capacity to engage, and low levels of participation from health professionals such as general practitioners (GPs). Thirty-five stakeholders participated in workshops to discuss findings and develop questions for assessing care home readiness to participate in innovations. Ten questions were developed to initiate conversations between innovators and care home staff to support research and implementation. This framework can help researchers initiate discussions about health-related innovation. This will begin to address the gap between implementation theory and practice.Peer reviewe

Using a Computer Simulation in the Research, Training, and Evaluation of School Psychologists

A computer program, School Psychologist Simulation, is described. The program presents users with information and events such as might be encountered in a real school setting regarding schoolchildren referred to the school psychologist; users can practice the skills needed by a school psychologist in the assessment of the case. The participant then submits a report detailing assessment, recommendations, and reasoning for the case in either essay or multiple-choice format. An additional program permits the instructor to customize the material presented to the user by modifying the case material of a specific child and/or by altering the forms displayed to the user in all cases