A generalisation of the fractional Brownian field based on non-Euclidean norms

We explore a generalisation of the L´evy fractional Brownian field on the Euclidean space based on replacing the Euclidean norm with another norm. A characterisation result for admissible norms yields a complete description of all self-similar Gaussian random fields with stationary increments. Several integral representations of the introduced random fields are derived. In a similar vein, several non-Euclidean variants of the fractional Poisson field are introduced and it is shown that they share the covariance structure with the fractional Brownian field and converge to it. The shape parameters of the Poisson and Brownian variants are related by convex geometry transforms, namely the radial pth mean body and the polar projection transforms.

Religious Diversity and Religious Vitality: New Measuring Strategies and Empirical Evidence

Quantitative studies of the conditions and consequences of religious diversity are based mostly on indices that measure the variety of religious membership in a particular region. However, this line of research has become stagnant, and the question of whether diversity affects religious vitality remains unanswered. This article attempts to shed new light on the discussion by measuring religious diversity differently and capturing religious vitality independently of membership figures. In particular, it contrasts the Herfindahl-Hirschman Index based on membership proportions with a second measure of diversity: an index of organizational diversity. Conversely, the dependent variable religious vitality is measured not by using rates of participation in religious organizations but via the Centrality of Religion Scale. Based on ecological and individual level data of forty-three local regions in Finland, Germany, and Slovenia and using multilevel analysis, our results suggest that religious diversity is related to religious vitality. However, the nature of this association differs across subgroups.

The Lord of Heaven in the Inner Chambers: Jesuits, Women, and Domestic Christianity (ca. 1580-1690)

The study focuses on gender norms and practices in Chinese Christian communities established by Jesuit missionary activity during the long seventeenth century. It analyzes how European and Chinese gender norms and practices affected each other in the context of the Sino-Western cultural contact initiated by the missionaries. The thesis consists of two parts. First, it analyzes the ways in which European Jesuits engaged with Chinese gender relations in the course of their mission in China. The study demonstrates that the Jesuits’ adoption of the Chinese scholar-gentry’s habitus entailed a partial adaptation to Confucian gender norms. The latter placed great emphasis on gender segregation and therefore discouraged direct communication between missionaries and Chinese women. This resulted in the emergence of organizational and devotional arrangements of Christian communities specific to China. Second, the study discusses Chinese Christian women's religious culture that emerged in the absence of a strong missionary presence among female devotees. It points out that Chinese Christian women created their own ritual culture and religious sociability in the domestic context, and that they actively took part in shaping Chinese Christianity as masters of domestic rituals.

The Psychological Outcome of Religious Coping with Stressful Life Events in a Swiss Sample of Church Attendees

Background: Recent research suggested thatreligious coping, based on dispositional religiousness and spirituality (R/S), is an important modulating factor in the process of dealing with adversity. In contrast to the United States, the effect of R/S on psychological adjustment to stress is a widely unexplored area in Europe. Methods: We examined a Swiss sample of 328 church attendees in the aftermath of stressful life events to explore associations of positive or negative religious coping with the psychological outcome. Applying a cross-sectional design, we used Huber’s Centrality Scale to specify religiousness and Pargament’s measure of religious coping (RCOPE) for the assessment of positive and negative religious coping. Depressive symptoms and anxiety as outcome variables were examined by the Brief Symptom Inventory. The Stress-Related Growth Scale and the Marburg questionnaire for the assessment of well-being were used to assess positive outcome aspects. We conducted Mann-Whitney tests for group comparisons and cumulative logit analysis for the assessmentof associations of religious coping with our outcome variables. Results: Both forms of religious coping were positively associated with stress-related growth (p < 0.01). However, negative religious coping additionally reduced well-being (p = 0.05, β = 0.52, 95% CI = 0.27–0.99) and increased anxiety (p = 0.02, β = 1.94, 95% CI = 1.10–3.39) and depressive symptoms (p = 0.01, β = 2.27, 95% CI = 1.27–4.06). Conclusions: The effects of religious coping on the psychological adjustment to stressful life events seem relevant. These findings should be confirmed in prospective studies.