In this paper, we prove that the hitting probability of the Minkowski sum of fractal percolations can be characterised by capacity. Then we extend this result to Minkowski sums of general random sets in $\mathbb Z^d$, including ranges of random walks and critical branching random walks, whose hitting probabilities are described by Newtonian capacity individually.

The continuous random energy model (CREM) was introduced by Bovier and Kurkova in 2004 as a toy model of disordered systems. Among other things, their work indicates that there exists a critical point $\beta_\mathrm{c}$ such that the partition function exhibits a phase transition. The present work focuses on the high-temperature regime where $\beta<\beta_\mathrm{c}$. We show that, for all $\beta<\beta_\mathrm{c}$ and for all $s>0$, the negative s moment of the CREM partition function is comparable with the expectation of the CREM partition function to the power of $-s$, up to constants that are independent of N.

The institutional logics perspective provides a powerful theoretical lens that emphasizes how meanings and practices are intertwined in relatively enduring configurations that can profoundly shape organizational behavior across space and time. In this article, we propose the need for a broader research agenda on the dynamics of institutional logics in the Chinese context, particularly in three aspects. We begin by elaborating on the distinct configuration of logics in China, where state logic is more dominant and often directs other logics, thus shaping organizational behavior differently than its Western counterpart. We then argue for the need to examine (1) the change of logics per se, leveraging China’ market transition, which provides a unique opportunity to observe how existing configurations of logics undergo transformational change and regain coherence; (2) the governance of logics, focusing on the influence of social evaluators and command posts; and (3) the diffusion of the China Model, a distinct configuration of logics and orders, to other countries through the Chinese state’s political and economic campaigns.

This article analyses the relationship between Italian feminism and mental health in the 1970s, focusing on Turin. It explores the main theoretical debates that dominated feminist magazines and meetings during those years. In feminist groups and collectives, discussions about women’s wellness and illness began with the broader theme of health and knowledge of one’s body. However, they subsequently expanded to include personal, theoretical, clinical and political issues related to mental health. New experiences such as autocoscienza (consciousness-raising) and the practice of the unconscious allowed feminists to examine the effects of gender roles and models, existential contradictions, distress and intolerance, discomfort with doctors, psychiatric hospitalisation and the shortcomings of territorial services. The case of Turin shows that these experiences paved the way for subsequent interactions between feminism and the psychiatric reform movement.

We introduce a notion of equivariant vector bundles on schemes over semirings. We do this by considering the functor of points of a locally free sheaf. We prove that every toric vector bundle on a toric scheme X over an idempotent semifield equivariantly splits as a sum of toric line bundles. We then study the equivariant Picard group $\operatorname{Pic}_G(X)$. Finally, we prove a version of Klyachko’s classification theorem for toric vector bundles over an idempotent semifield.

Water and light are essential resources for crop development, and their limitations can significantly affect agricultural productivity. While irrigation systems are widely used to mitigate water scarcity, the role of nighttime artificial lighting in open-field conditions remains an emerging research area. This review explores the potential of nighttime light supplementation as a crop management strategy by analysing its physiological, morphological, and biochemical effects on plants. A key question addressed is whether supplemental lighting can enhance crop productivity in the field and under which conditions this approach is most effective. We examine which crops are more likely to benefit from artificial lighting based on their light limitations and physiological responses. Additionally, we discuss whether alternative agronomic practices, such as planting arrangements and canopy management, could achieve similar benefits without artificial light supplementation. The review also considers how the timing and spectral composition of supplemental light influence plant development. While continuous or nighttime lighting may alter physiological processes, it remains unclear whether these changes are beneficial or detrimental to productivity. Studies on light penetration, particularly the role of green and far-red wavelengths, suggest that spectral composition can impact plant morphology and light-use efficiency, raising questions about optimal lighting strategies. Finally, we address the feasibility of large-scale nighttime lighting in agriculture by discussing energy demands, potential environmental impacts, and economic viability. While preliminary studies suggest promising physiological responses, experimental validation under field conditions is still needed to determine whether this technology represents a profitable and sustainable investment.

Sharp, nonasymptotic bounds are obtained for the relative entropy between the distributions of sampling with and without replacement from an urn with balls of $c\geq 2$ colors. Our bounds are asymptotically tight in certain regimes and, unlike previous results, they depend on the number of balls of each color in the urn. The connection of these results with finite de Finetti-style theorems is explored, and it is observed that a sampling bound due to Stam (1978) combined with the convexity of relative entropy yield a new finite de Finetti bound in relative entropy, which achieves the optimal asymptotic convergence rate.

William Inge, Edward Gordon Selwyn, and Charles Gore represent three Anglican responses to John Henry Newman’s Essay on the Development of Doctrine. Development sought to account for doctrinal changes in Christianity by characterising Christianity as a ‘real idea’, expressing an object in the mind that can only be shown in its fullness by encounters with different philosophies over time. This was part of a wider intellectual movement in the 19th century away from static ideas of doctrinal history and towards more dynamic and subjective treatments. Inge, Selwyn, and Gore all make use of Newman after the First World War. Inge argues Newman abstracts historical facts from their realities, and abandons the old concept of tradition, where the church is the custodian of revelation, in favour of a relativistic concept, new in each generation. Selwyn makes use of Newman’s idea to argue for the autonomy of religious experience as a source of human knowledge mediated through religious traditions. Gore argues Newman enables ‘mobility’ in communicating Christianity to different cultures but argues development can be used justify distortions of the first revelation. The test of their authenticity should be whether they are inclusive of those Christ would be inclusive.

Soil respiration is the second largest natural flux of Carbon (C) between terrestrial ecosystems and the atmosphere, with tropical forests amongst the largest contributors to such soil-derived C effluxes. With climate change expected to drive changes in both temperature and rainfall, our ability to predict responses of the C cycle in the future hinges upon an understanding of how these factors influence soil respiration. However, these relationships remain poorly characterised across the seasonal tropics, especially South Asia. Here, for two seasonal tropical sites in the Western Ghats of India, we characterised annual, seasonal and temporal variation in soil respiration and assessed its temperature and moisture sensitivity over six years. At both sites, soil respiration was positively correlated with temperature at the instantaneous scale, but showed no relationship with temperature at seasonal or annual scales. In contrast, soil respiration showed significant relationships with rainfall and soil moisture at all temporal scales. At the annual scale, soil respiration was negatively correlated with total annual rainfall. At the seasonal scale, wet season Rs was significantly lower than in the dry season. At the instantaneous scale, Rs showed a parabolic relationship with soil moisture, where soil respiration increased with soil moisture up to ∼21 cm3cm-3 and decreased beyond that point. Our results suggest that future changes in the Indian summer monsoon, especially the frequency and intensity of extreme rainfall events, are likely to significantly impact soil respiration rates in this seasonal tropical forest.