In this paper we take up the classical sup-norm problem for automorphic forms and view it from a new angle. Given a twist minimal automorphic representation $\pi$ we consider a special small $\mathrm{GL}_2(\mathbb{Z}_p)$-type V in $\pi$ and prove global sup-norm bounds for an average over an orthonormal basis of V. We achieve a non-trivial saving when the dimension of V grows.

This article argues that the Rights of Nature (RoN) framework is compatible with various ideological outlooks and political options. As a result, those initiatives may translate into extremely diverse institutional implementations with contrasted outcomes in terms of power distribution. The institutional design of RoN has deep political implications for various social groups who hold conflicting claims over certain territories. Hence, rather than transforming human-nature relations, RoN primarily transform the power relations between human communities. I delve into three conceptual frameworks that could shape the recognition of RoN and explore their respective distributive implications: green colonialism, environmental justice, and the focus on Indigeneity. Through this critical engagement, I wish to warn against the illusion of a post-political ecology where an ecocentric legal declaration would deliver human-nature harmony without deep political battles, social tensions, and economic confrontations. RoN as an abstract notion does not offer a ready-made toolkit to dismantle the legal architecture of fossil capitalism; nor does it provide clear guidance on the distribution of costs and benefits of the green transition.

Felt presence is a widely occurring experience, but remains under-recognised in clinical and research practice. To contribute to a wider recognition of the phenomenon, we aimed to assess the presentation of felt presence in a large population sample (n = 10 447) and explore its relation to key risk factors for psychosis. In our sample 1.6% reported experiencing felt presence in the past month. Felt presence was associated with visual and tactile hallucinations and delusion-like thinking; it was also associated with past occurrence of adverse events, loneliness and poor sleep. The occurrence of felt presence may function as a marker for general hallucination proneness.

There has been substantial interest in developing Markov chain Monte Carlo algorithms based on piecewise deterministic Markov processes. However, existing algorithms can only be used if the target distribution of interest is differentiable everywhere. The key to adapting these algorithms so that they can sample from densities with discontinuities is to define appropriate dynamics for the process when it hits a discontinuity. We present a simple condition for the transition of the process at a discontinuity which can be used to extend any existing sampler for smooth densities, and give specific choices for this transition which work with popular algorithms such as the bouncy particle sampler, the coordinate sampler, and the zigzag process. Our theoretical results extend and make rigorous arguments that have been presented previously, for instance constructing samplers for continuous densities restricted to a bounded domain, and we present a version of the zigzag process that can work in such a scenario. Our novel approach to deriving the invariant distribution of a piecewise deterministic Markov process with boundaries may be of independent interest.

Combine and conquer. That was the strategy of those seeking to develop an international regime to address marine biological diversity found in areas beyond national jurisdiction—areas that constitute half of the world's surface and a much greater proportion of its habitable volume. States had quite different visions for the regime. On the one hand, the European Union and other developed countries such as Australia and New Zealand wanted a conservation-oriented regime providing for the establishment of marine protected areas and setting rules for environmental impact assessments; on the other hand, developing countries wanted a resource-oriented regime that would allow them to get what they consider their fair share of the benefits of marine genetic resources and would assist them with capacity building and technology transfer. Only by combining these disparate topics in a single package was agreement possible.

Evidence from previous research suggests that frame-of-reference (FOR) training is effective at improving assessor ratings in many organizational settings. Yet no research has presented a thorough examination of systematic sources of variance (assessor-related effects, evaluation settings, and measurement design features) that might influence training effectiveness. Using a factorial ANOVA and variance components analyses on a database of four studies of frame-of-reference assessor training, we found that (a) training is most effective at identifying low levels of performance and (b) the setting of the training makes little difference with respect to training effectiveness. We also show evidence of the importance of rater training as a key determinant of the quality of performance ratings in general. Implications for FOR training theory and practice are discussed.

The enormous impact of mental illness on work and productivity is a global challenge, with immense costs to wider society. Now is the time for action, with new international guidelines and an emergent consensus on occupational mental healthcare. Alongside governments, organisations and employers, psychiatrists have a leading role to play.

This article examines how carbon dioxide (CO2) removal credits can be integrated into the European Union (EU) Emissions Trading System (ETS), focusing on questions of permanence and climate liability. It identifies challenges within the integration process and analyzes approaches from practice and literature to cultivate learning. These approaches apply different strategies to address the issue of permanence, including temporary credit issuance, granting credits once a certain number of carbon tonne-years have been accumulated, or issuing credits at the beginning of the project period and relying on liability instead. Drawing from the findings of this research, the article presents legal considerations that may inform a proposal for an EU legislative act on the integration of carbon removal credits into the EU ETS. It suggests that only credits issued for permanent CO2 removal should be integrated to ensure the environmental integrity of the system. Furthermore, the liability of the project operator should transfer to the Member State under certain conditions to make liability risks more predictable.