Isometry groups of non-positively curved spaces: structure theory

We develop the structure theory of full isometry groups of locally compact non-positively curved metric spaces. Amongst the discussed themes are de Rham decompositions, normal subgroup structure and characterising properties of symmetric spaces and Bruhat--Tits buildings. Applications to discrete groups and further developments on non-positively curved lattices are exposed in a companion paper: "Isometry groups of non-positively curved spaces: discrete subgroups".Comment: The original version (September 2, 2008) has been split into two articles. This is the first part; the second is available as of today on the arxiv under the title: "Isometry groups of non-positively curved spaces: discrete subgroups

Rapid testing versus karyotyping in Down's syndrome screening: cost-effectiveness and detection of clinically significant chromosome abnormalities

In all, 80% of antenatal karyotypes are generated by Down's syndrome screening programmes (DSSP). After a positive screening, women are offered prenatal foetus karyotyping, the gold standard. Reliable molecular methods for rapid aneuploidy diagnosis (RAD: fluorescence in situ hybridization (FISH) and quantitative fluorescence PCR (QF-PCR)) can detect common aneuploidies, and are faster and less expensive than karyotyping

Long-Term Follow-Up of Patients after Acute Kidney Injury: Patterns of Renal Functional Recovery

Background and Objectives: Patients who survive acute kidney injury (AKI), especially those with partial renal recovery, present a higher long-term mortality risk. However, there is no consensus on the best time to assess renal function after an episode of acute kidney injury or agreement on the definition of renal recovery. In addition, only limited data regarding predictors of recovery are available. Design, Setting, Participants, & Measurements: From 1984 to 2009, 84 adult survivors of acute kidney injury were followed by the same nephrologist (RCRMA) for a median time of 4.1 years. Patients were seen at least once each year after discharge until end stage renal disease (ESRD) or death. In each consultation serum creatinine was measured and glomerular filtration rate estimated. Renal recovery was defined as a glomerular filtration rate value $60 mL/min/1.73 m2. A multiple logistic regression was performed to evaluate factors independently associated with renal recovery. Results: The median length of follow-up was 50 months (30–90 months). All patients had stabilized their glomerular filtration rates by 18 months and 83 % of them stabilized earlier: up to 12 months. Renal recovery occurred in 16 patients (19%) at discharge and in 54 (64%) by 18 months. Six patients died and four patients progressed to ESRD during the follow up period. Age (OR 1.09, p,0.0001) and serum creatinine at hospital discharge (OR 2.48, p = 0.007) were independent factors associated with non renal recovery. The acute kidney injury severity, evaluated by peak serum creatinine and nee

CMB-S4: Forecasting Constraints on Primordial Gravitational Waves

CMB-S4---the next-generation ground-based cosmic microwave background (CMB) experiment---is set to significantly advance the sensitivity of CMB measurements and enhance our understanding of the origin and evolution of the Universe, from the highest energies at the dawn of time through the growth of structure to the present day. Among the science cases pursued with CMB-S4, the quest for detecting primordial gravitational waves is a central driver of the experimental design. This work details the development of a forecasting framework that includes a power-spectrum-based semi-analytic projection tool, targeted explicitly towards optimizing constraints on the tensor-to-scalar ratio, $r$, in the presence of Galactic foregrounds and gravitational lensing of the CMB. This framework is unique in its direct use of information from the achieved performance of current Stage 2--3 CMB experiments to robustly forecast the science reach of upcoming CMB-polarization endeavors. The methodology allows for rapid iteration over experimental configurations and offers a flexible way to optimize the design of future experiments given a desired scientific goal. To form a closed-loop process, we couple this semi-analytic tool with map-based validation studies, which allow for the injection of additional complexity and verification of our forecasts with several independent analysis methods. We document multiple rounds of forecasts for CMB-S4 using this process and the resulting establishment of the current reference design of the primordial gravitational-wave component of the Stage-4 experiment, optimized to achieve our science goals of detecting primordial gravitational waves for $r > 0.003$ at greater than $5\sigma$, or, in the absence of a detection, of reaching an upper limit of $r < 0.001$ at $95\%$ CL.Comment: 24 pages, 8 figures, 9 tables, submitted to ApJ. arXiv admin note: text overlap with arXiv:1907.0447

CMB-S4: Forecasting Constraints on Primordial Gravitational Waves

Abstract: CMB-S4—the next-generation ground-based cosmic microwave background (CMB) experiment—is set to significantly advance the sensitivity of CMB measurements and enhance our understanding of the origin and evolution of the universe. Among the science cases pursued with CMB-S4, the quest for detecting primordial gravitational waves is a central driver of the experimental design. This work details the development of a forecasting framework that includes a power-spectrum-based semianalytic projection tool, targeted explicitly toward optimizing constraints on the tensor-to-scalar ratio, r, in the presence of Galactic foregrounds and gravitational lensing of the CMB. This framework is unique in its direct use of information from the achieved performance of current Stage 2–3 CMB experiments to robustly forecast the science reach of upcoming CMB-polarization endeavors. The methodology allows for rapid iteration over experimental configurations and offers a flexible way to optimize the design of future experiments, given a desired scientific goal. To form a closed-loop process, we couple this semianalytic tool with map-based validation studies, which allow for the injection of additional complexity and verification of our forecasts with several independent analysis methods. We document multiple rounds of forecasts for CMB-S4 using this process and the resulting establishment of the current reference design of the primordial gravitational-wave component of the Stage-4 experiment, optimized to achieve our science goals of detecting primordial gravitational waves for r > 0.003 at greater than 5σ, or in the absence of a detection, of reaching an upper limit of r < 0.001 at 95% CL

“Dubitare de singulis” : la biblia ekzgezo de Petro Abelardo

Pierre Abélard (1079-1142) est connu tant pour son oeuvre philosophique et théologique prolifique que pour sa vie mouvementée et ses amours malheureuses avec Héloïse d’Argenteuil, bien documentées par l'une des rares autobiographies du Moyen Âge, l’Historia calamitatum. Cependant, l’œuvre proprement exégétique du maître du Pallet, composée essentiellement de deux commentaires, l’Expositio in epistolam Pauli ad Romanos et l’Expositio in Hexameron, et d’un échange avec Héloïse autour de questions bibliques, les Problemata Heloissae, est restée peu étudiée, et lorsqu’elle le fut, ce fut pour y rechercher des développements théologiques, sans que la place d’Abélard au sein de l'économie de l'herméneutique biblique médiévale ne soit profondément interrogée. C’est cette question que cette thèse propose modestement de défricher.Peter Abelard (1079-1142), is famous for his prolific philosophical and theological work and for his eventful life and tragic love with Heloise of Argenteuil, well known thanks to one of the rare examples of autobiography in the Middle Ages, the Historia calamitatum. However, the strictly exegetical work of the master of Le Pallet, in which we count essentially two commentaries, the Expositio in epistolam Pauli ad Romanos and the Expositio in Hexameron, and one exchange with Heloise about biblical questions, the Problemata Heloissae, was until now understudied, and, when it was studied, it was in search of theological reasonings, without deeply exploring the place of Abelard among the medieval biblical exegesis. It is this question that this thesis suggest modestly to clear

“Dubitare de singulis” : la biblia ekzgezo de Petro Abelardo

Pierre Abélard (1079-1142) est connu tant pour son oeuvre philosophique et théologique prolifique que pour sa vie mouvementée et ses amours malheureuses avec Héloïse d’Argenteuil, bien documentées par l'une des rares autobiographies du Moyen Âge, l’Historia calamitatum. Cependant, l’œuvre proprement exégétique du maître du Pallet, composée essentiellement de deux commentaires, l’Expositio in epistolam Pauli ad Romanos et l’Expositio in Hexameron, et d’un échange avec Héloïse autour de questions bibliques, les Problemata Heloissae, est restée peu étudiée, et lorsqu’elle le fut, ce fut pour y rechercher des développements théologiques, sans que la place d’Abélard au sein de l'économie de l'herméneutique biblique médiévale ne soit profondément interrogée. C’est cette question que cette thèse propose modestement de défricher.Peter Abelard (1079-1142), is famous for his prolific philosophical and theological work and for his eventful life and tragic love with Heloise of Argenteuil, well known thanks to one of the rare examples of autobiography in the Middle Ages, the Historia calamitatum. However, the strictly exegetical work of the master of Le Pallet, in which we count essentially two commentaries, the Expositio in epistolam Pauli ad Romanos and the Expositio in Hexameron, and one exchange with Heloise about biblical questions, the Problemata Heloissae, was until now understudied, and, when it was studied, it was in search of theological reasonings, without deeply exploring the place of Abelard among the medieval biblical exegesis. It is this question that this thesis suggest modestly to clear

A Commentary on the Vienna Palimpsest – Segment III (Ch. 1.1-1.2)

International audienc