Let G be a connected Lie group and $\mathrm {Sub}_G$ be the space of closed subgroups of G equipped with the Chabauty topology. In this article, we investigate the existence of invariant random subgroups of G supported on various orbits of the conjugation action of G on $\mathrm {Sub}_G$.

Research that assesses individual judges’ ability to shape decisions typically focuses on courts that publish separate votes and opinions. Yet, many courts issue per curiam judgments that do not permit public dissent. To overcome this limitation, we use a convolutional neural network (CNN) to model the variation in judges’ expressed preferences from language in aggregated judgments. Specifically, we construct a CNN to analyze the written judgments of judge-rapporteurs and opinions of advocates-general from the Court of Justice of the European Union. Along a pro-/anti-EU dimension, we estimate how judgments differ within (1) each case relative to the advocate-general’s opinion, and (2) each judge-rapporteur, which captures how judges alter their writing across cases. Our results provide novel empirical support for theoretical models of European judicial decision-making: more pro-EU opinions driven by the Court, not the advocate-general or the judge-rapporteur, are associated with larger chambers and stronger external signals of compliance.

Neonates are highly susceptible to infection, a major cause of neonatal death, given their immature immune system. Comprehensive studies examining multiple immune-response-related proteins in relation to neonatal infection are scarce. We conducted a nested case-control study within the Shenzhen Baoan Birth and Twin (SZBBTwin) cohort, measuring 92 immune-response-related proteins in cord plasma of 149 twins (including 34 discordant twin pairs) with proximity extension assay. All twins were followed for clinical diagnoses of infection from birth until 27 days of age. Wilcoxon rank-sum test was used to determine differentially abundant proteins (DAPs) between infected and noninfected neonates, the predictive performance of which was evaluated by receiver operating characteristic curves, and their functions and pathways were annotated through enrichment analysis. Logistic regression was used to assess the associations between levels of proteins and risk of neonatal infection. Finally, five DAPs (ITGA11, FCRL6, DDX58, SH2D1A, and EDAR) were identified for neonatal infection, and the area under the curve of the five DAPs achieved 0.835 for infection prediction. Enrichment analysis indicated that five DAPs were mainly involved in immune function and cell binding, and they were mainly enriched in the nuclear factor kappa-B pathway. A higher level of ITGA11 was associated with an increased risk of neonatal infection in all twins (OR 3.00; 95% CI [1.33, 6.78]) and discordant twin pairs (OR 5.50; 95% CI [1.20, 25.23]). In conclusion, multiple immune-response-related proteins in cord plasma, particularly ITGA11, are associated with the risk of neonatal infection in twins.

Breast cancer represents one of the main causes of mortality among women, and the consumption of bioactive compounds seems to contribute to improving the prognosis of the disease. However, the relationship between polyphenol intake and breast cancer has not yet been fully elucidated. The objective of this study was to investigate the association between polyphenol intake and breast cancer mortality, survival, and recurrence. This is an observational study with a prospective sample of 95 women, followed up for an average of 11.5 years. Intake of polyphenols was assessed using a Food Frequency Questionnaire (FFQ) and estimated using the Phenol-Explorer® database. Cox proportional hazard models were used to investigate the associations. Survival curves were calculated using Kaplan-Meier analysis. An inverse association was found between the intake of total polyphenols, phenolic acids, and lignans, and the risk of breast cancer-specific mortality (HR= 0.20, 95% CI [0.05-0.80]; HR= 0.09, 95% CI [0.01-0.50]; HR= 0.15, 95% CI [0.04-0.63], respectively). Phenolic acids also showed an inverse association with breast cancer recurrence (HR= 0.35, 95% CI [0.13-0.98]) and all-cause mortality (HR= 0.23, 95% CI [0.07 - 0.77]). Coffee was the major contributor to total polyphenol, phenolic acid, and lignan intake. Total polyphenol intake was associated with longer survival when breast cancer mortality was considered (p=0.048). In conclusion, higher intake of polyphenols was associated with lower breast cancer-specific mortality. In addition, phenolic acids were associated with lower all-cause mortality and breast cancer recurrence. Further studies are needed to confirm these associations.

This paper develops an interdisciplinary perspective, which combines ideas from anthropology, sociolinguistics and interface design, on how AI chatbots project recognizable social identities. Specifically, it brings together Silvio’s notion of animation, the social practices through which “humanness” is projected onto nonhuman entities, and Blommaert’s notion of enoughness, the idea that the authenticity of linguistic performances is a matter not of the accuracy of a performance but of how audiences collectively evaluate it as socially recognizable. The analysis draws on a corpus of metapragmatic artifacts posted on social media sites related to ChatGPT’s advanced voice mode and Sesame.ai’s hyper-realistic voice interface. Analysis of these artifacts reveals how designers, users and AI systems co-produce boundaries of authenticity through the deployment and uptake of linguistic and discursive features such as accent and stance. In doing so, they continually recalibrate what counts as culturally competent performances, shaping emergent norms of identity and sociality around AI. The paper highlights how humanness and culturality are distributed across technical systems, corporate discourse, and human interlocutors, with important implications for understanding how generative AI reproduces cultural stereotypes by drawing on the linguistic labor of users.

Recent quantitative work on the variable [g]\~{}[ŋ] alternation in compounds of certain dialects of Japanese has revealed token frequency of the compound as a whole, and of the compound’s second member in its freestanding form, to be important predictors of the alternation. We propose a formal phonological analysis that integrates usage-based factors like frequency with the action of the phonological grammar, extending mechanisms of lexicon–grammar interaction previously proposed in the context of Lexical Conservatism. We demonstrate that our model fits the experimental data better than – or at least comparably to – a theoretically naïve statistical model proposed in previous work. Based on the success of our modelling, we discuss the role of token frequency in phonological patterning more broadly, and how the mechanism that we propose might be extended to unify a range of contradictory frequency-dependent processes that have been observed in the literature.

Evidence on the association between coffee consumption timing patterns and metabolic syndrome (MetS) prevalence remains limited. This cross-sectional study analyzed data from 11632 participants aged 20 years or older in eight National Health and Nutrition Examination Survey (NHANES) cycles (2003-2018), to examine how coffee consumption timing patterns and their combination with coffee amount relate to MetS. Coffee consumption timing patterns were identified using K-means clustering. Two timing patterns were identified: morning-concentrated and evenly distributed. Survey-weighted logistic regression was used to examine associations between timing patterns and MetS prevalence, adjusting for sociodemographic, lifestyle, and dietary covariates. The morning-concentrated pattern was significantly associated with lower prevalence of MetS (OR: 0.80, 95% CI: 0.68, 0.96) compared with non-drinkers, while the evenly distributed pattern showed no significant association. Results were robust across multiple sensitivity analyses. Combined analysis revealed that the morning-concentrated pattern was consistently associated with lower MetS prevalence across all intake levels. Stratified analyses showed stronger inverse associations among women, individuals with normal weight/underweight or overweight, and those aged ≤ 40 years, with significant effect modification by body mass index (BMI; P for interaction < 0.001) and age (P for interaction = 0.006) groups. These observational findings suggest that the timing of coffee consumption, particularly the morning-concentrated pattern, may be inversely associated with MetS prevalence.

Justin’s epitome is a central source for significant parts of especially Hellenistic history, and it is our only window into the important work of Trogus. To understand Justin’s epitome and use it methodologically soundly, a reasonably firm grasp on its date of composition is, as always with ancient writers, central. This has proved elusive: the only indisputable terminus ante quem is Jerome’s mention of Justin from 407, and most commonly Justin is dated to either the year 200 or the late fourth and early fifth centuries. This article provides new arguments for a late dating of Justin’s work: Justin presents the obeisance demanded by Alexander the Great as a form of adoratio, a gesture which in turn is depicted as royal and Persian. This presentation of Alexander’s obeisance deviates markedly from the parallel sources, and the conceptualization of adoratio as Persian is unprecedented before the fourth century. On the other hand, Justin’s description exhibits clear parallels with the fourth-century critique of Diocletian for introducing the adoratio. This provides strong support for a late dating of Justin’s work, and the 390s or the first years of the fifth century may tentatively be suggested.

The maternal diet is believed to influence child neurodevelopment, at least in part, through inflammation, as dietary components can have pro- or anti-inflammatory effects. We examined the association between the energy-adjusted dietary inflammatory index (E-DII) during pregnancy and offspring symptoms of behavioral and emotional problems at 5.5 and 10 years, using data from the French nationwide ELFE birth cohort. Dietary intake during pregnancy was assessed using a validated food frequency questionnaire and an E-DII score was generated. Child behavioral and emotional symptoms, (including hyperactivity-inattention, conduct, peer-relationship, and emotional problems), were evaluated by parents using the Strengths and Difficulties Questionnaire at 5.5 (n=9627) and 10 years (n=8362) for: hyperactivity-inattention, conduct, peer-relationship, and emotional problems. Children were classified into three categories based on thresholds used to identify clinically relevant symptoms: “Normal”, “Borderline”, and “Atypical”. Multinomial logistic regression, adjusted for potential confounders was used to estimate odds ratios and 95% confidence intervals. An increasing maternal E-DII score during pregnancy was associated with higher odds of offspring classified with atypical hyperactivity-inattention and conduct problem scores at 5.5 and 10 years, atypical peer-relationship problem scores at 10-years, and atypical emotional problem scores at 10 years (differentially by sex). A more proinflammatory diet during pregnancy was consistently associated with higher odds of symptoms of externalizing problems throughout childhood and with internalizing problems at 10 years. Future research should explore the mechanisms by which prenatal exposure to maternal diet-induced inflammation may contribute to these outcomes.

In the afternoon 20 May 1916, Ernest Shackleton with Frank Worsley and Tom Crean unexpectedly arrived at the whaling station in Stromness, South Georgia after completing one of the most extraordinary journeys in the history of Antarctic exploration. There are numerous versions of what actually happened on arriving at Stromness, whom they met and what was said during this first encounter between the whalers and the explorers. There has also at times been a confusion about which whaling station and at which building they arrived. Despite the discrepancies between several accounts dealing with the Stromness arrival, there has been little explicit analysis to try to separate fact from fiction. Despite some attempts to get the records straight, books and other publications on Shackleton still appear where details on the arrival are marred by fiction. This paper, therefore, continues the search for a “sober” narrative of what happened that afternoon in South Georgia more than a hundred years ago. A main reason to revisit the questions surrounding the arrival in Stromness now is the renewed focus on the Stromness Manager’s Villa that was finally repaired and stabilised during the Antarctic summer 2025/26.