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We prove that among the set of pairs ($C^2$-diffeomorphism, $C^1$-potential), there exists a $C^1$-open and dense subset such that either the Lagrange spectrum is finite and the dynamics is a Morse–Smale diffeomorphism or the Lagrange spectrum has positive Hausdorff dimension and the system has positive topological entropy. We also prove that such dichotomy does not hold for typical systems when replacing the Lagrange by the Markov spectrum.
Countries in Africa face serious and worsening poverty brought about by historical and recent factors including the global economic downturn and national debt crises. Different actors have tested several mechanisms with the promise to alleviate poverty. Bottom-of-the-pyramid (BoP) and social assistance programmes in the form of cash transfers are such models. Despite the hype associated with the models, both demonstrate little achievement in the promotion of well-being in Africa, but instead, businesses are profiting at the expense of the poor. In this paper, we argue that the two models are precursors, handmaidens and the embodiment of the financialisation of social policy in Africa. Drawing on field interviews in Kenya, we demonstrate how the models have enabled financialisation of social policy through a narrative of financial inclusion of the poor, integration of market players in social protection, and through motives to orient the poor towards service-oriented markets.
We study the restriction of the absolute order on a Coxeter group W to an interval $[1,w]_T$, where $w\in W$ is an involution. We characterise and classify those involutions w for which $[1,w]_T$ is a lattice, using the notion of involutive parabolic subgroups.
We classify generic unfoldings of germs of antiholomorphic diffeomorphisms with a parabolic point of codimension k (i.e. a fixed point of multiplicity $k+1$) under conjugacy. Such generic unfoldings depend real analytically on k real parameters. A preparation of the unfolding allows to identify real analytic canonical parameters, which are preserved by any conjugacy between two prepared generic unfoldings. A modulus of analytic classification is defined, which is an unfolding of the modulus assigned to the antiholomorphic parabolic point. Since the second iterate of such a germ is a real unfolding of a holomorphic parabolic point, the modulus is a special form of an unfolding of the Écalle–Voronin modulus of the second iterate of the antiholomorphic parabolic germ. We also solve the problem of the existence of an antiholomorphic square root to a germ of a generic analytic unfolding of a holomorphic parabolic germ.
To my mind, every Indigenous archaeology practiced across the length and breadth of the world is uniquely situated within its own socio-cultural and political milieu. In this respect, no processes within its practice are identical in nature. Proceeding a step further from Felix Acuto’s experience of Latin American Indigenous archaeology, this discussion piece examines the nature of the Indigenous community’s involvement in archaeological research within a South Asian context, locating the frame within Northeast India, particularly Nagaland. This takes a rather more interesting turn when the engagement constitutes an archaeology ‘with, for and by Indigenous peoples’ themselves who belong to a certain Indigenous community, who are either inside or outside of the participant community. Engaging local people in archaeological excavations has long been commonplace in Indian archaeology. In most of excavations by John Marshall and Mortimer Wheeler of Harappan urban sites, one cannot fail but notice the ubiquitous frame of black-and-white photographs – local workers clad in white dhoti and turbans, seen in various working postures and gaits inside the trenches, aiding in daily routine digs with brushes and brooms, circular trays filled with soil and occasional scatterings of pickaxes and spades. With shifting powers from the British Raj and Indian archaeologists now taking charge of the Archaeological Survey of India (ASI) after Wheeler’s departure, it is still disheartening to notice that such imageries continue to persist in numerous field reports even within a post-colonial experience (for a critical appraisal, see Avikunthak 2021). What the images evoke is the sort of community engagement that the country has experienced for more than 150 years of Indian archaeology in practice. One may never know clearly for sure what the nature and extent of the local people’s participation in such large-scale digs was during colonial times, but this entices us to ask the few obvious questions – is such research made explicit within a participatory praxis, or can it be equally engaging and collaborative with equitable research aims? Or did such initiatives dismantle power structures and relations between local workers and the archaeologists leading the excavations? Until recently, community consultation and engagement have rarely been a part of the archaeological research agenda in India, with a few exceptions addressed by Rizvi (2006; 2020), Selvakumar (2006), Jamir (2014) and Menon and Varma (2019). Unfortunately, even today, archaeology in South Asia continues to demonstrate a lack of collaborative archaeological practice and instead continues to replicate colonial models of interaction with local communities (Rizvi 2008, 127). I, however, view the role of Indigenous community engagement in archaeological research as a starting point for decolonizing archaeological practice in Northeast India, particularly in Nagaland (Jamir 2024). Therefore, to underscore a contrast, I wish to draw a few case examples from the region of Northeast India.
Using data from the 2018–2019 National Congregations Study, I explore the relationship between women’s descriptive and substantive representation in American religious congregations. In particular, I examine the relationship between the presence of clergywomen or gender inclusive leadership policies (i.e., congregational policies allowing women to serve as the head pastor or priest) and a congregation’s participation in “women’s issues” political activism. Statistical analysis reveals partial support for my hypotheses. Collective gender representation, as demonstrated through the presence of gender inclusive leadership policies within a congregation, predicts pro-LGBT activism and the number of “women’s issues” a congregation pursues. This project serves to extend understanding of 1) how descriptive gender representation relates to the substantive representation of women’s interests in religious congregations and 2) the comparability of women’s leadership across political and religious contexts.
Nearly fifty years ago, Roberts (1978) postulated that the Earth’s magnetic field, which is generated by turbulent motions of liquid metal in its outer core, likely results from a subcritical dynamo instability characterised by a dominant balance between Coriolis, pressure and Lorentz forces (requiring a finite-amplitude magnetic field). Here, we numerically explore subcritical convective dynamo action in a spherical shell, using techniques from optimal control and dynamical systems theory to uncover the nonlinear dynamics of magnetic field generation. Through nonlinear optimisation, via direct-adjoint looping, we identify the minimal seed – the smallest magnetic field that attracts to a nonlinear dynamo solution. Additionally, using the Newton-hookstep algorithm, we converge stable and unstable travelling wave solutions to the governing equations. By combining these two techniques, complex nonlinear pathways between attracting states are revealed, providing insight into a potential subcritical origin of the geodynamo. This paper showcases these methods on the widely studied benchmark of Christensen et al. (2001, Phys.EarthPlanet.Inter., vol. 128, pp. 25–34), laying the foundations for future studies in more extreme and realistic parameter regimes. We show that the minimal seed reaches a nonlinear dynamo solution by first approaching an unstable travelling wave solution, which acts as an edge state separating a hydrodynamic solution from a magnetohydrodynamic one. Furthermore, by carefully examining the choice of cost functional, we establish a robust optimisation procedure that can systematically locate dynamo solutions on short time horizons with no prior knowledge of its structure.
Early Intervention Psychosis Services (EIPS) provide multimodal interventions for young people who are at risk of, or have experienced, a first episode of psychosis. Although recent studies have begun to examine this critical period in a young person’s personal recovery in more depth, little is known about how young people experience EIPS in general, and its influences on their clinical and psychosocial recovery in particular.
Aims
This study aimed to explore young people’s experience of EIPS, specifically the factors that have affected their (a) clinical and (b) psychosocial recovery.
Method
This study purposively sampled 27 young people from a range of backgrounds at 6 community-based EIPS in Australia. Audio-recorded, semi-structured interviews were conducted and reflexive thematic analysis was used to analyse this data-set.
Results
Four themes of how EIPS enabled recovery were identified. The first three - a safe space, unconditional support and active involvement – were foundational to a fourth theme of gradual self-management. In earlier-stage self-management, participants relied on practical supports to make connections and find education and employment opportunities. By later-stage self-management, they had developed the tools to do these things for themselves. Participants’ movement between earlier- and later-stage self-management was connected to their overall EIPS engagement and, for some, to their engagement with peer support.
Conclusions
Providing a safe space, unconditional support and active involvement for clients and their families created the foundational conditions for improved clinical and psychosocial recovery. Peer support programmes, increasing engagement when situational changes such as employment occur and the provision of culturally sensitive care appeared valuable to this process.
Understanding today’s conflicts and compromises requires addressing the entanglement between material processes and the viewpoints of a variety of collective actors: how they understand themselves and the economy within which they act, what objectives they perceive it affords to them, and what constraints it imposes. The structural approach to economic analysis, which builds on the traditions started by Physiocracy and classical political economy, offers a vantage point to understand material processes. The paper proposes three directions to generalise it, thus making it more suitable to address the entanglement between such processes and the emergence and viewpoints of collective actors.
Previous research has demonstrated that the COVID-19 pandemic led to a global increase in mental distress. However, few studies have examined the impact of the pandemic on mental health stigma.
Aims
To investigate changes in measures of mental health stigma, including knowledge, attitudes and behavioural intentions, in 2021 and 2023 in Hong Kong; to examine the mediating role of attitudes on the relationship between knowledge and behavioural intentions; and to explore how disclosure of mental illness contributes to enhanced overall well-being.
Method
Data were collected as part of a larger research project focusing on mental well-being in Hong Kong. A total of 1010 and 1014 participants were surveyed in 2021 and 2023, respectively. The participants were Hong Kong residents aged 18 years and above.
Results
Our findings demonstrate that all measures of mental health stigma showed increases in severity between 2021 and 2023. In addition, our mediation analyses observed both full and partial mediation effects of attitudes on the relationship between knowledge and behavioural intentions. The results also showed that mental illness disclosure was associated with higher well-being; however, despite these benefits, there was a decrease in willingness to disclose in 2023 compared with 2021.
Conclusions
This study highlights the ongoing issue of mental health stigma in Hong Kong. Future mental health programmes and interventions should aim to address various facets of mental health knowledge, including symptom recognition, access to support resources and the deleterious consequences of mental health stigma.
The authors present results of a recent project that challenges the perceived absence of Late Pleistocene human settlements in high-altitude areas of inland Spain. Despite the apparent geographic and bioclimatic constraints, these areas may contain archaeological material from diverse prehistoric periods.
In the North-West Region of Cameroon (NWR) there is limited research available to shape mental health programmes and policy, and this gap has been compounded by the ongoing sociopolitical crisis. Developing a comprehensive research agenda is crucial to guiding mental health research and informing evidence-based interventions.
Aims
This paper presents a proposed research agenda for priority mental health, mental disorders and related issues in the NWR. It aims to enhance awareness about the need for research on mental health issues, including evidence about what is needed and effective.
Method
The study used a modified Delphi process with a multidisciplinary team of researchers and mental health practitioners. The study included a literature review, consultation with participants and reaching agreement on the most pressing research needs and approaches.
Results
Priority mental health research areas include (a) broad studies (e.g. situational analysis, prevalence studies); (b) mental health interventions; and (c) understanding mental health issues in depth, especially research involving persons with lived experience of mental health conditions and their families. Intervention studies are needed to better develop and evaluate treatments for trauma and post-traumatic stress disorder, and interventions that are grounded in local realities. Research exploring mental distress and poverty, and gendered analysis of mental health conditions, were also identified as key research priorities. Locally appropriate methods for conducting mental health research, reviewing of mental health-related research conducted at universities and supporting students in research were recognised as relevant to achieving these goals.
Conclusions
This work provides priorities to guide future mental health research in the NWR. This agenda has the potential to enhance understanding of local mental health challenges and to accelerate the development of contextually relevant, evidence-based solutions. Sustained commitment and multi-stakeholder partnerships will be crucial for translating this agenda into impactful research and practice.
The National Institute for Health and Care Excellence (NICE) early value assessment (EVA) was launched in 2022 as a process to assess new technologies that have the potential to meet an unmet need or demand. The recommendations that result from the process are best viewed as a type of managed entry agreement – that is, time-limited and conditional on further evidence being generated. This commentary, from authors in PenTAG (an external assessment group involved in assessing medical technologies for NICE, based at the University of Exeter), explores the challenges that have arisen during 3 years of performing EVAs, offers some thoughts on EVA’s role in evidence generation, and their fit in NICE’s wider evidence landscape. The commentary identifies areas for potential improvement in terms of timelines, scoping and protocol development, searching, reviewing, and economic modeling. Many of the suggested changes are relatively minor tweaks to the process, or requests for clearer guidance or expectation management. We conclude that, with some changes to the EVA process and its accompanying guidance, the assessments could become more efficient. In summary, the EVA represents NICE’s life cycle approach in their HealthTech program, wherein evidence is collected along the life cycle to help monitor initial assumptions and recommendations made. The process is designed to continuously capture incremental innovation over the lifetime of a medical device. As such, EVAs reflect a small but important shift in how health technology assessment is practiced.
To triangulate the perspectives of mental health clinicians, older people with mental illness and their carers on Advance Care Planning (ACP) to develop evidence-informed educational resources.
Methods
The study setting was public mental health services. Results of previously reported reflexive thematic analyses of interviews discussing ACP with three stakeholder groups (12 older people with mental illness, 5 carers, and 15 mental health clinicians) were triangulated. The emergent overarching themes were considered within an interpretive description framework to develop educational resources to support each of the three stakeholder groups to engage in ACP.
Results
Four overarching themes emerged: (i) importance of ACP recognized but ACP often not initiated; (ii) knowledge gaps; (iii) skill gaps – how to do it; and (iv) practical and process issues. Taking into account the research team’s knowledge of the local health contexts, two formats of educational resources were developed; written information sheets bespoke to identified knowledge gaps and needs for each group, and brief training films for clinicians addressing need for practical skills in ACP. The consumer and carer sheets were translated into three languages. Two brief clinician training films demonstrated introducing ACP within mental health reviews and how to address aspects of complexity in ACP with older adults with a mental illness and carers.
Significance of results
The current absence of specific educational resources for ACP with older people with mental illness contrasts with the recognized importance of ACP. Written resources were created to address empirically identified knowledge gaps and misconceptions and provide practical information and training films developed to demonstrate key skills for clinicians. The resources were made freely available, with dissemination planned to promote and evaluate use as part of a more comprehensive educational intervention. Resources supporting clinician, consumer and carer education are an important first step towards empowerment and participation in ACP.
We present a framework for parametric proper orthogonal decomposition (POD)-Galerkin reduced-order modelling (ROM) of fluid flows that accommodates variations in flow parameters and control inputs. As an initial step, to explore how the locally optimal POD modes vary with parameter changes, we demonstrate a sensitivity analysis of POD modes and their spanned subspace, respectively rooted in Stiefel and Grassmann manifolds. The sensitivity analysis, by defining distance between POD modes for different parameters, is applied to the flow around a rotating cylinder with varying Reynolds numbers and rotation rates. The sensitivity of the subspace spanned by POD modes to parameter changes is represented by a tangent vector on the Grassmann manifold. For the cylinder case, the inverse of the subspace sensitivity on the Grassmann manifold is proportional to the Roshko number, highlighting the connection between geometric properties and flow physics. Furthermore, the Reynolds number at which the subspace sensitivity approaches infinity corresponds to the lower bound at which the characteristic frequency of the Kármán vortex street exists (Noack & Eckelmann, J. Fluid Mech., 1994, vol. 270, pp. 297–330). From the Stiefel manifold perspective, sensitivity modes are derived to represent the flow field sensitivity, comprising the sensitivities of the POD modes and expansion coefficients. The temporal evolution of the flow field sensitivity is represented by superposing the sensitivity modes. Lastly, we devise a parametric POD-Galerkin ROM based on subspace interpolation on the Grassmann manifold. The reconstruction error of the ROM is intimately linked to the subspace-estimation error, which is in turn closely related to subspace sensitivity.
Monsters may frighten but also fascinate us in their weird and unfamiliar ways. As Gramsci once observed, periods of radical transformation are also times of monsters. AI fits the description. It is a bewildering entity, consisting of hard - and software, depending on infrastructures that need huge amounts of energy and water. It defies clear definition, yet seeps into every corner of our lives. Big Tech warns of existential risks while pursuing Artificial General Intelligence, AGI. However, real challenges today lie in how AI threatens to substitute rather than augment human capabilities.
This essay examines the deployment of an AI-based interdisciplinary approach. It has proven spectacularly successful, as exemplified by AlphaFold2's breakthrough in protein folding. This approach operates frictionlessly, combining knowledge domains with remarkable efficiency and speed. It seems to vindicate a technocratic dream of problem-solving without the messiness and time needed for human deliberation. Yet, when this artificial interdisciplinarity enters the social world, it encounters what it seeks to eliminate: friction.
Friction, however, is not an obstacle to overcome but an essential feature of human existence. The physical world requires friction for movement; the social world needs it for creativity, conflict resolution, and meaningful cooperation. Certainly, too much friction can bring havoc, and too little can lead to a standstill. But as AI continues its co-evolutionary trajectory with humanity, we must resist the seductive promise of a frictionless world run by automated efficiency.
Instead, we need to cultivate a humanistic culture of AI interdisciplinarity - one that bridges sciences and humanities while preserving human curiosity, deliberation, and epistemic diversity. Bringing friction back means taking the time to reconsider shared goals, acknowledging conflicts, and maintaining spaces for genuine human creativity. Only by embracing friction can we ensure that AI augments rather than diminishes what makes us human.
Theories of representative democracy emphasize the importance of electoral pledges for informed voting and government accountability. Recent studies have highlighted citizens’ tendency to impose electoral punishments when parties fail to fulfill their pledges. However, conditions under which citizens consider non-fulfillment acceptable have received little attention. Specifically, multiparty government makes it less likely that an individual party fulfills its pledges, but whether citizens take such obstacles into account when evaluating the acceptability of non-fulfillment has remained largely untested. We theorize that both the coalition negotiation context and the negotiation outcome influence citizens’ evaluations. To test our hypotheses, we conducted two vignette experiments in Finland and Germany. The results revealed that, regardless of their opinion about the substance of a pledge, voters were more accepting of unfulfilled pledges when party or coalition characteristics created obstacles to fulfillment. The findings suggest that voters possess a nuanced understanding of the constraints of coalition government.