Staphylococcus lugdunensis (SL), a skin commensal, is a rare cause of native valve endocarditis and usually affects left-sided valves. Only a few cases of native tricuspid valve endocarditis have been reported in non-intravenous drug users, and none have been associated with concomitant congenital heart disease.

We prove that the positive-dimensional part of the torsion locus of the Ceresa normal function in $\mathcal {M}_g$ is not Zariski dense when $g\geq 3$. Moreover, it has only finitely many components with generic Mumford-Tate group equal to $\mathrm {GSp}_{2g}$; these components are defined over $\overline {\mathbb Q}$, and their union is closed under the action of $\mathrm {Gal}(\overline {\mathbb Q}/\mathbb Q)$. More generally, we study the distribution of the torsion locus of arbitrary admissible normal functions.

On February 24, 2022, Russia escalated its aggression against Ukraine. In addition to a staggering civilian death toll (i.e., ≥ 14,383), the Russo-Ukrainian War had generated approximately 5,752,670 refugees as of October 31, 2025. While scholarship on the Russo-Ukrainian War’s refugees has centered on the three largest EU destinations—Germany, Poland and the Czech Republic—Spain has emerged as the fourth major host. Given its unique history as a colonizer and that Spanish news outlets demonstrably dehumanized refugees from the Syrian Civil War, we ask: How have Spanish news outlets textually and photographically portrayed the Russo-Ukrainian War’s refugees? Conceptually, we entwine Water Metaphors, Off-Whiteness, Orientalism and Sentence-Image. Through a Descriptive Content Analysis and a Visual Framing Approach, we examine the news coverage from El Mundo (n = 97) and El País (n = 119) between February 24 and March 15, 2022. We argue that, although both news outlets employed Water Metaphors that conventionally connote dangerousness (e.g., Avalanche), such meanings were textually and photographically disrupted through non-Orientalist, Off-White re-racializing lenses. Consequently, Spanish news outlets portrayed the Russo-Ukrainian War’s refugees as “Oriental European Others” whose movement was compelled yet “civilized” and whose whitened visibility rendered them absorbable by the “Western European Us”, thereby co-constructing distinctive “Contingent Safe Waters”.

In this article, we propose a navigation approach based on a flocking algorithm for multiple agents that discover the environment with their sensors. The proposed method is able to move the agents in a flexible formation that preserves a pattern that minimizes a measure of energy, but is also able to avoid collision with obstacles while maintaining communication and visibility between agents. Control laws are combined with a new version of the planner called the Nearness Diagram (ND), extended to multiple agents. Two central ideas in the approach are: (1) the global leader of the formation can change, selecting as global leader one that has favorable conditions to reach the goal, (2) each agent locally follows another agent, the agent that is followed minimizes a cost related to the shortest path to the global leader in a graph. The method is intensively validated with several computer simulations, implemented in differential-drive robots. The results showed that the approach maintains communication formation and flexible enough to allow agents to line up when narrow passages appear in the environment.

We find upper and lower bounds on the number of rational points with bounded denominators that are contained in a rectangular neighbourhood of some $n$-dimensional $p$-adic integer. To find the upper bound, we use lattice point counting techniques on $p$-adic approximation lattices, and for the corresponding lower-bound statement, a classical pigeonhole principle-style argument is used. We apply this counting result to prove a statement in the setting of weighted simultaneous $p$-adic Diophantine approximation on coordinate hyperplanes. For the lower-bound Hausdorff dimension result, we construct a local ubiquitous system of rectangles and then apply the recent Mass Transference Principle result of Wang and Wu (Math. Ann., 2021).

Through the life story of a sailor, merchant, former prisoner, and soldier, this article explores the Brazilian postcolonial empire’s experiments in settlement and domestic colonization during the Age of Revolutions. Johann Heinrich Lembke’s journey—from incarceration in the German territory of Mecklenburg-Schwerin, to his conscription into the Brazilian armed forces, to his eventual desertion—offers a unique entry point into the sociopolitical mechanisms of empire-building in the New World. Drawing on records from German, British, Portuguese, and Brazilian archives, this article traces Lembke’s trajectory within broader processes of territorial expansion, settler-military strategies, and normative pluralities that shaped imperial governance in Latin America. It illuminates the porous continuum between penal, military, and settler colonization projects, illustrating how such systems functioned as overlapping mechanisms of governance and control. Methodologically, a microhistorical analysis links the European and South American contexts, as this research uncovers the experimental nature of Brazil’s border policies and challenges binary representations of settlers in the South America. Lembke’s case thus becomes a window onto Brazil’s imperial formation, revealing how ordinary actors navigated the ambiguities of empire-building.