We present a modified version of the well-known geometric Lorenz attractor. It consists of a $C^1$ open set ${\mathcal O}$ of vector fields in ${\mathbb R}^3$ having an attracting region ${\mathcal U}$ satisfying three properties. Namely, a unique singularity $\sigma $; a unique attractor $\Lambda $ including the singular point and the maximal invariant in ${\mathcal U}$ has at most two chain recurrence classes, which are $\Lambda $ and (at most) one hyperbolic horseshoe. The horseshoe and the singular attractor have a collision along with the union of $2$ codimension $1$ submanifolds which split ${\mathcal O}$ into three regions. By crossing this collision locus, the attractor and the horseshoe may merge into a two-sided Lorenz attractor, or they may exchange their nature: the Lorenz attractor expels the singular point $\sigma $ and becomes a horseshoe, and the horseshoe absorbs $\sigma $ becoming a Lorenz attractor.

Much sociological attention has focused on Black identity within the United States. Less attention, however, has been given to understanding how immigrant and native-born streams of U.S. Black Muslims articulate American identity. In this study I ask: how do second-generation Black American Muslims and indigenous Black American Muslims compare in the ways they narrate connections among race, American identity, and Islam? Using data from thirty-one in-depth interviews with Black Muslims living in Houston, TX, I find that racial double-consciousness complicates American identity for respondents. While indigenous Black American respondents critique racist U.S. histories and structural inequities, I argue that in certain spaces Muslim identity reinforces American identity. For second-generation respondents, however, American identity is reinforced through embracing immigrant status. This study extends Du Boisian double-consciousness by making a case for “layered double-consciousness.” I argue that layered double-consciousness better explains how Black Muslims perceive their racial, religious, and national identities across macro levels within the context of the United States and meso levels within the Muslim American community.

This study addresses a longstanding historical and archaeological problem at the central Cretan urban centre of Knossos. This is the so-called ‘Archaic gap’, an apparent dearth of evidence for sixth-century BCE material culture across the extensively excavated city. The concept of a pronounced Knossian decline or recession at this time has been reaffirmed in recent years, with widespread repercussions for Cretan archaeology. By reconsidering ceramics from the Royal Road North and Unexplored Mansion excavations, as well as situating these deposits within their urban and regional contexts, I question the epistemological foundations of the Knossian gap and provide new directions for identifying sixth-century Knossian material culture. I propose that the apparent ‘gap’ is a product of several factors: (1) a relative disinterest in imports in sixth-century Knossos, (2) a dispersed, rather than densely nucleated, urban settlement pattern, and (3) a previously unrecognised conservatism in Knossian ceramics, where some of the ‘Orientalising’ styles traditionally dated to the seventh century were retained into the sixth. This phenomenon of conservatism differs in important ways from the ‘restraint’ or ‘austerity’ that has been previously proposed as characteristic of Archaic and Classical Crete.

This article begins with an overview of twin research in Brazil, initiated by the University of São Paulo Panel of Twins. I met with many new research collaborators and students while on a fall 2023 four-city lecture tour in that country. A meeting with a world-famous surgeon who recently separated craniopagus conjoined twin pairs is also described. This overview is followed by summaries of twin research on binge eating, twins’ physical outcomes linked to different diets, working conditions and sickness absence in Swedish Twins and facial morphology differences in monozygotic twins. The final section of this article provides a sampling of human interest stories with important implications. They include a Michigan family forced to adopt their own twins, ethical issues surrounding the hiring of a surrogate to bear twins; twin survivors of the Israel-Hamas war, a twin pregnancy with a double uterus, and three twin pairs on the same women’s soccer team.

For a subset $A$ of an abelian group $G$, given its size $|A|$, its doubling $\kappa =|A+A|/|A|$, and a parameter $s$ which is small compared to $|A|$, we study the size of the largest sumset $A+A'$ that can be guaranteed for a subset $A'$ of $A$ of size at most $s$. We show that a subset $A'\subseteq A$ of size at most $s$ can be found so that $|A+A'| = \Omega (\!\min\! (\kappa ^{1/3},s)|A|)$. Thus, a sumset significantly larger than the Cauchy–Davenport bound can be guaranteed by a bounded size subset assuming that the doubling $\kappa$ is large. Building up on the same ideas, we resolve a conjecture of Bollobás, Leader and Tiba that for subsets $A,B$ of $\mathbb{F}_p$ of size at most $\alpha p$ for an appropriate constant $\alpha \gt 0$, one only needs three elements $b_1,b_2,b_3\in B$ to guarantee $|A+\{b_1,b_2,b_3\}|\ge |A|+|B|-1$. Allowing the use of larger subsets $A'$, we show that for sets $A$ of bounded doubling, one only needs a subset $A'$ with $o(|A|)$ elements to guarantee that $A+A'=A+A$. We also address another conjecture and a question raised by Bollobás, Leader and Tiba on high-dimensional analogues and sets whose sumset cannot be saturated by a bounded size subset.

This article exploits two newspaper archives to track economic policy uncertainty in Spain from 1905–1945. We find that the outbreak of the Civil War in 1936 was anticipated by a striking upward level shift of uncertainty in both newspapers. We study the reasons for this shift through a natural language processing method, which allows us to leverage expert opinion to track specific issues in our newspaper archives. We find a strong empirical link between increasing uncertainty and the rise of divisive political issues like socio-economic conflict. This holds even when exploiting content differences between the two newspapers in our corpus.

Cartesian pictures of the human self and act-centred understandings of ethics dominate modern thought. Throughout his work, Herbert McCabe challenges these, and as such remains an important resource for philosophical and theological ethics. This paper lays out McCabe’s philosophical anthropology, showing how he draws on Wittgenstein to revive a Thomist account of the human person. It then shows how this anthropology feeds into a philosophical ethics, focused on human flourishing and the possibility of life being meaningful. This, in turn, underwrites a theological ethics, according to which the human person flourishes ultimately through graced participation in the divine life. The paper concludes with a discussion of McCabe’s account of faith as participation in the divine self-knowledge.

This paper estimates the migratory and fertility effects of the federal Relocation Program, which attempted to move Native American individuals to urban areas under the promises of financial assistance and job training. I find the Relocation Program increased the Native American population in the target cities by more than 100,000 people. I also find that second- and third-generation Native American women living in cities have a 50 percent lower fertility rate than those living in areas with historically large Native American populations. These findings indicate that this program meaningfully shifted the spatial distribution of the Native American population.

The epidemiological picture of Taenia saginata infections in Kenya is fragmented with limited available data. Although Sarcocystis species are significant meat-borne parasites, few studies have explored their occurrence in Kenya. This study aimed to estimate the occurrence of bovine cysticercosis and screen for the presence of Sarcocystis spp. A meat inspection-based survey was conducted in ten abattoirs in Narok County, Kenya, and inspection for T. saginata cysticerci was limited to the Triceps brachii muscle. The apparent occurrence of the parasite was 5.4% (95% CI, 3.8, 7.6, n=573). Molecular confirmation of T. saginata was done via nested polymerase chain reaction targeting the mitochondrial 12S ribosomal RNA gene and restricted fragment length polymorphism. Sarcocystis species were identified using a multiplex polymerase chain reaction method targeting the 18S ribosomal RNA gene sequences and the mitochondrial cytochrome c oxidase subunit I gene. Of the 31 cystic lesions tested, 26/31 (83.9%) were confirmed to be T. saginata. Sarcocystis cruzi and S. hominis were detected in 8/31 (25.8%) and 1/31 (3.2%) of the cystic lesions, respectively. Co-infections of S. cruzi and T. saginata were found in 6/31 lesions (19.4%). The confirmation of bovine cysticercosis and S. hominis is suggestive of the presence of risky culinary and sanitation practices that facilitate transmission. This is the first report and molecular confirmation of Sarcocystis spp. in cattle in the country. The presence of both zoonotic S. hominis and pathogenic S. cruzi highlights an underexplored concern of veterinary and human health significance, warranting further epidemiological investigation.