We present a study of low-temperature electric and thermal transport in RuO2, a metallic oxide which has attracted much recent attention. Careful scrutiny of electric resistivity reveals a quadratic temperature dependence below similar to 20 K undetected in previous studies of electronic transport in this material. The prefactor of this T2 resistivity, given the electronic specific heat, corresponds to what is expected by the Kadowaki-Woods scaling. The variation of its amplitude across four different samples is negligible despite an eightfold variation of residual resistivity. There is also a T 5 resistivity due to scattering by phonons. By measuring thermal conductivity kappa at zero field and at 12 T, we separate its electronic and phononic components and find that the former respects the Wiedemann-Franz law at zero temperature and deviates downward at finite temperature. The latter corresponds to a threefold discrepancy between the prefactors of the two (thermal and electric) T-square resistivities. Our results, establishing RuO2 as a weakly correlated Fermi liquid, provide input for the ongoing theoretical attempt to give a quantitative account of electron-electron scattering in metallic oxides starting from first principles.
The ALLEGRO phase 2a and 2b/3 studies demonstrated that ritlecitinib, an oral JAK3/TEC family kinase inhibitor, is efficacious at doses of ≥ 30 mg in patients aged ≥ 12 years with alopecia areata (AA). The objective of this study was to evaluate the safety of ritlecitinib in an integrated analysis of four studies in AA. Two cohorts were analyzed: a placebo-controlled and an all-exposure cohort. Proportions and study size–adjusted incidence rates (IRs) of adverse events (AEs) of interest and laboratory abnormalities are reported. In the placebo-controlled cohort (n = 881; median exposure: 169 days), the proportion of ritlecitinib-treated patients with AEs was 70.2–75.4
BACKGROUND AND AIMS:Immune checkpoint inhibitors (ICI) are associated with life-threatening myocarditis but milder presentations are increasingly recognized. The same autoimmune process that causes ICI myocarditis can manifest concurrent generalized myositis, myasthenia-like syndrome, and respiratory muscle failure. Prognostic factors for this 'cardiomyotoxicity' are lacking. The main aim of this study was to determine predictors and construct a risk score associated with negative outcomes in patients admitted for ICI myocarditis. METHODS:A multicentre registry collected data retrospectively from 17 countries between 2014 and 2023. A multivariable Cox regression model was used to determine risk factors for the primary composite outcome: time to severe arrhythmia, heart failure, respiratory muscle failure, and/or cardiomyotoxicity-related death. Covariates included demographics, comorbidities, cardiomuscular symptoms, diagnostics, and treatments. Time-dependent covariates were used, and missing data were imputed. A point-based prognostic risk score was derived and externally validated. RESULTS:In 748 patients (67% male, age 23-94 years), 30-day incidence of the primary composite outcome, cardiomyotoxic death, and overall death were 33%, 13%, and 17%, respectively. By multivariable analysis, the primary composite outcome was associated with active thymoma (hazard ratio [HR] 3.6, 95% confidence interval [CI] 1.7-7.7), presence of cardiomuscular symptoms (HR 2.6 [1.5-4.2]), low QRS voltage on presenting electrocardiogram (HR for ≤0.5 mV vs >1 mV 1.9 [1.1-3.1]), left ventricular ejection fraction (LVEF) < 50% (HR 1.7 [1.1-2.6]), and incremental troponin elevation (HR 1.8 [1.4-2.4], 2.9 [1.8-4.7], and 4.6 [2.3-9.3], for 20, 200, and 2000-fold above upper reference limit, respectively). A prognostic risk score developed using these parameters showed good performance; 30-day primary outcome incidence increased gradually from 4% (risk score = 0) to 81% (risk score ≥ 4). This risk score was externally validated in two independent French and US cohorts. This risk score was used prospectively in the external French cohort to identify low-risk patients who were managed with no immunosuppression resulting in no cardiomyotoxic events. CONCLUSIONS:ICI-associated myocarditis can manifest with high morbidity and mortality. Myocarditis severity is associated with magnitude of troponin, thymoma, low QRS voltage, depressed LVEF, and cardiomuscular symptoms. A risk score incorporating these features performed well. CLINICAL TRIAL REGISTRATION:NCT04294771 and NCT05454527.
Our work is part of the close link between continuous-time dissipative dynamical systems and optimization algorithms, and more precisely here, in the stochastic setting. We aim to study stochastic convex minimization problems through the lens of stochastic inertial differential inclusions that are driven by the subgradient of a convex objective function. This will provide a general mathematical framework for analyzing the convergence properties of stochastic second-order inertial continuous-time dynamics involving vanishing viscous damping and measurable stochastic subgradient selections. Our chief goal in this paper is to develop a systematic and unified way that transfers the properties recently studied for first-order stochastic differential equations to second-order ones involving even subgradients in lieu of gradients. This program will rely on two tenets: time scaling and averaging, following an approach recently developed in the literature by one of the co-authors in the deterministic case. Under a mild integrability assumption involving the diffusion term and the viscous damping, our first main result shows that almost surely, there is weak convergence of the trajectory towards a minimizer of the objective function and fast convergence of the values and gradients. We also provide a comprehensive complexity analysis by establishing several new pointwise and ergodic convergence rates in expectation for the convex, strongly convex, and (local) Polyak-Lojasiewicz case. Finally, using Tikhonov regularization with a properly tuned vanishing parameter, we can obtain almost sure strong convergence of the trajectory towards the minimum norm solution.
This paper is the first of a two part series devoted to describing relations between congruence and crystallographic braid groups. We recall and introduce some elements belonging to congruence braid groups and we establish some (iso)-morphisms between crystallographic braid groups and corresponding quotients of congruence braid groups.
