We show that Cuntz-Pimsner algebras associated to partial automorphisms twisted by vector bundles are classifiable in the sense of the Elliott program whenever the action is minimal and the base space is compact, infinite and has finite covering dimension. We also investigate the tracial state space of our algebras, and show that traces are in bijection to certain conformal measures. This generalizes results about partial crossed products by Geffen and complements results about the C & lowast;-algebras associated to homeomorphisms twisted by vector bundles of Adamo, Archey, Forough, Georgescu, Jeong, Strung and Viola. We use our findings to generalize various existing statements about orbit-breaking subalgebras. (c) 2026 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
We introduce a novel projection depth for data lying in a general Hilbert space, called the regularized projection depth, with a focus on functional data. By regularizing projection directions, the proposed depth does not suffer from the degeneracy issue that may arise when the classical projection depth is naively defined on an infinite-dimensional space. Compared to existing functional depth notions, the regularized projection depth has several advantages: (i) it requires no moment assumptions on the underlying distribution, (ii) it satisfies many desirable depth properties including invariance, monotonicity, and vanishing at infinity, (iii) its sample version uniformly converges under mild conditions, and (iv) it generates a highly robust median. Furthermore, the proposed depth is statistically useful as it (v) does not produce ties in the induced ranks and (vi) effectively detects shape outlying functions. This paper focuses mainly on the theoretical properties of the regularized projection depth.
Background Growing hybrid and military threats are converging with health and care workforce poly-crises, placing increasing pressure on health system resilience. Objectives This study examines how European Union (EU) member states protect and prepare the workforce for health security threats and how these measures impact resilience. Methods A qualitative comparative assessment of EU health security policy and seven country cases was performed, including Czechia, Finland, Germany, Netherlands, Poland, Portugal and Romania. A structured topic guide informed data collection in April 2026, drawing on expert input and secondary sources. Results Since COVID-19, health security institutions and defence-related preparedness have expanded substantially across countries. Three broad patterns emerge within a new health security and resilience architecture shaped by health systems, defence strategies and workforce conditions, but also important common trends: workforce stability and resilience remain marginal within these emerging architectures and critical gaps in protection and preparedness, and priority of military-centred approaches threaten health system resilience. Discussion Investment in military-centred defence remains inefficient if not aligned with workforce resilience, including preparedness, physical and mental health protection, equity and gender equality. Key challenges for policymakers are to shift from military- and infrastructure-focused preparedness toward integrated strategies with the workforce as foundational pillar of critical security infrastructure and an operational indicator of resilience, and to build capacity for the implementation of new security policies. Conclusions The EU needs a coordinated workforce-centred strategy with a sustainable budget that strengthens preparedness, protection, governance capacity, research and implementation to improve resilience under crisis and defence conditions.
OBJECTIVES:This study aimed to investigate the efficacy and safety of filgotinib, a JAK1 preferential inhibitor, in patients with axial spondyloarthritis (axSpA). METHODS:The phase 3 OLINGUITO trial comprises 2 international, randomised, double-blind, placebo (PBO)-controlled studies. Patients with an established diagnosis of radiographic (r) or nonradiographic (nr) axSpA and an inadequate response/intolerance to ≥2 nonsteroidal anti-inflammatory drugs were randomised 1:1 to filgotinib 200 mg or PBO once daily through week (W) 16 (double-blind period; stratified by high-sensitivity C-reactive protein [hs-CRP] level and prior biologic disease-modifying antirheumatic drug [bDMARD] use). After W16, patients received open-label filgotinib 200 mg through W52; patients ≥65 years and/or with prespecified risk factors received response-based dosing (100 or 200 mg). The primary (Assessment of SpondyloArthritis international Society ≥40% response [ASAS40 response]) and secondary efficacy endpoints were assessed at W16. Efficacy and safety were assessed through W52. RESULTS:At W16, the primary endpoint was met in both studies (ASAS40 response rates: r = axSpA [n = 258], 39.5% filgotinib vs 20.9% PBO [P = .001]; nr-axSpA [n = 237], 34.5% vs 17.8% [P = .003], respectively). ASAS40 improvements, irrespective of hs-CRP level/prior bDMARD use, were observed as early as W1. For secondary endpoints, significant improvements were seen in Axial Spondyloarthritis Disease Activity Score and Spondyloarthritis Research Consortium of Canada magnetic resonance imaging sacroiliac joint inflammation in both studies, and in Bath Ankylosing Spondylitis Functional Index and Ankylosing Spondylitis Quality of Life Questionnaire in patients with r-axSpA. Improvements with filgotinib were maintained/increased further through W52. Overall, 2 cases of myocardial infarction (PBO: n = 1; PBO-filgotinib: n = 1), 3 of herpes zoster (PBO-filgotinib), and 4 of malignancies (excluding nonmelanoma skin cancer; filgotinib: n = 3; PBO-filgotinib: n = 1) occurred. CONCLUSIONS:Across the whole spectrum of axSpA, filgotinib provided rapid and significant patient-relevant improvements in axSpA signs and symptoms and was well tolerated.
This work uncovers a non-intuitive picture of twinning evolution in rolled AZ31 magnesium alloy by combining in-situ neutron diffraction with rotational sampling and EBSD. Contrary to expectations based on nearly uniform Schmid factor distributions for the same grain families around the rotation axis of the specimen, twinning activity exhibits a pronounced orientation selectivity: the strongest twinning-associated response is observed for grains with basal planes perpendicular to the sheet normal direction. Even more intriguingly, the twinning-associated depletion of the parent (0002) orientation population follows a robust power-law scaling with grain orientation density (MRD), with an exponent that remains nearly constant over most of the deformation and increases above approximately 6–7% true strain, indicating a change in how the twinning-associated response is distributed among orientation populations. Unlike commonly reported dynamic power laws associated with intermittent plasticity, this scaling describes a population-based relation and does not resolve individual twinning events. Local twin variant selection is asymmetric, while DIC, EBSD, and supplementary time-resolved observations are consistent with interaction-assisted, potentially autocatalytic twinning across neighboring grains. This behavior is accompanied by the formation of organized mesoscopic twin-rich deformation bands. Together, these findings show that the observed azimuthal twinning response is not described by Schmid factor considerations alone, but also reflects texture, grain interactions, and mesoscopic strain compatibility.
