Centro de Documentación de las Artes Escénicas y de la Música
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Rauzy fractals of random substitutions
We develop a theory of Rauzy fractals for random substitutions, which are a generalisation of deterministic substitutions where the substituted image of a letter is determined by a Markov process. We show that a Rauzy fractal can be associated with a given random substitution in a canonical manner, under natural assumptions on the random substitution. Further, we show the existence of a natural measure supported on the Rauzy fractal, which we call the Rauzy measure, that captures geometric and dynamical information. We provide several different constructions for the Rauzy fractal and Rauzy measure, which we show coincide, and ascertain various analytic, dynamical and geometric properties. While the Rauzy fractal is independent of the choice of (non-degenerate) probabilities assigned to a given random substitution, the Rauzy measure captures the explicit choice of probabilities. Moreover, Rauzy measures vary continuously with the choice of probabilities, thus provide a natural means of interpolating between Rauzy fractals of deterministic substitutions. Additionally, we highlight connections between Rauzy fractals and Rauzy measures of random substitutions and related S-adic systems
Just business? Rethinking the role of small and medium enterprise climate action through a just transition lens
Small and medium-sized enterprises (SMEs) are critical to achieving climate action goals but are neglected in policy and academic debates. Current SME climate and energy policies are failing to address the complexity and vulnerability of SMEs in the transition to a low carbon economy, often treating these organisations as a homogeneous group, with dominant narratives that appeal to economic or moral imperatives to decarbonise, without recognising their diverse social roles or needs. This article develops a new analytical framework that integrates relational and situated perspectives with the lens of just transition, foregrounding SMEs as social actors with varied motivations and characteristics, embedded within a multitude of social and material relations. The framework can help to highlight how policies, governance and market arrangements can marginalise some SMEs, and identify how vulnerabilities and inequities might be addressed. We apply the framework to a large qualitative dataset consisting of 167 interviews spanning five sectors and five city-regions in the UK. Our findings illuminate the varied and nuanced role of SMEs within just transitions, across three sets of relations: sectoral, dimensional (space and time) and organisational. A large and diverse group which are conventionally overlooked in climate discourse, SMEs' vulnerabilities warrant renewed attention, while their power to help shape a fair and rapid transition remains under-utilised. The concluding section sets out practical implications for SME climate and energy policy. This includes addressing heterogeneity more systematically, designing targeted support for vulnerable firms, and harnessing SMEs as active climate citizens to deliver transformative change
Using Charitable Donations to Rebuild Corporate Reputation Following Controversies
We examine the consequences of controversies on corporate reputation and identify a strategy that companies often adopt to restore their trust relationships with stakeholders in the aftermath of media condemnation. In the post-controversy period, firms appear to use a bolstering strategy of engaging more actively in philanthropic activities. In terms of regaining reputation, as measured by the increase in the Britain’s Most Admired Companies ranking, such strategy proves to be ineffectual. This may be because charitable giving in such context could be viewed as superficial virtue signaling rather than a fundamental change in the company’s ethical stance
Behaviour for Musical Learning
This chapter justifies why learning behaviour needs to be considered within a music-specific context and explores how developing learning behaviours underpins young people’s relationship with the curriculum, with other people and with themselves as learners. It describes what musical learning behaviours are, how they might be facilitated in music classroom, and the importance of understanding the complex relationships that underpin young people’s learning behaviours in music contexts. Finally, the chapter addresses how, as a teacher, to model and recognise musical learning behaviours and to proactively plan for supporting young people’s effective learning in the music classroom
Wellbeing
This chapter analyses the growing number of research and evaluative studies which seek to explore the significance of planning and implementing focused wellbeing actions. It will also present approaches and strategies which have proven to be successful in schools. This chapter finishes with a summary of the key points to provide a takeaway for readers
Death, Controversy, and Capitalism: Empathy and Its Deficit in Netflix’s <i>Squid Game</i>
This chapter analyses empathy and the representation of violent death in Squid Game (2021–2025). While navigating the series’ controversial depictions of violence on screen in response to discourses around empathy, the chapter’s primary consideration is Squid Game’s critique of a broader empathy deficit in contemporary culture. To what extent does the series’ controversial representations of violence highlight the potential challenges of experiencing and developing empathy within capitalist systems
Evaluating the Impact of Teaching Sustainable Business and Finance to Children Aged 6–12 in a Montessori Schools in Spain
This chapter explores an innovative programme implemented in a Montessori school in Spain that introduces children aged 6–12 to sustainable business and ethical finance. Integrating Education for Sustainable Development, financial literacy, and Montessori pedagogy, the programme included experiential activities such as enterprise visits, barter simulations, and business pitches. Assessed using the Freeth/Kirkpatrick model, the initiative showed strong impacts on children's financial understanding, ethical awareness, and behavior, while also inspiring institutional change. The case demonstrates how early, values-based education can foster the skills and mindset needed for a more sustainable and equitable future
A bespoke, real-time surveillance system for malaria elimination in Cambodia: architecture, applications and impact
Cambodia has developed and deployed a comprehensive, real-time, case-based Malaria Information System (MIS) to support national malaria elimination goals. This locally built, user-centred digital platform integrates surveillance, diagnostics, treatment, logistics, entomology and operational monitoring into a single system accessible at all levels of the health system. Mobile and web-based applications enable village malaria workers and health facility staff to report cases and interventions in real time, even in offline settings. The system promotes decentralized decision-making through intuitive dashboards and customizable analytics, enhancing local ownership, accountability and responsiveness. It supports key strategies such as the 1-3-7 surveillance model, integrated drug efficacy surveillance and incidence-based stratification. Operational functionality and system sustainability is supported by MIS modules for device management, stock management, geolocation, training and quality assurance. Real-time analytics drive timely interventions and adaptive planning, while interoperability with regional and global databases facilitates cross-border coordination and external reporting. Challenges remain, such as limited technical support capacity and a need for predictive tools. However, the Cambodia MIS demonstrates that locally developed digital health systems can transform disease surveillance and accelerate elimination efforts when effectively integrated with community-based networks and supported by strong governance. This model provides valuable evidence for other countries aiming to transition from malaria control to elimination, while complying with elimination certification requirements, and preparing for the prevention of re-establishment of transmission once malaria elimination has been achieved. [Abstract copyright: © 2026. The Author(s).