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Parallel geodesics and minimal stable length of random groups
No full text21 pagesWe show that for any pair of long enough parallel geodesics in a random group G(m, d) with m generators at density d < 1/6, there is a van Kampen diagram having only one layer of faces. Using this result, we give an upper bound, depending only on d, of the number of pairwise parallel geodesics in G(m, d) when d < 1/6. As an application, we show that the minimal stable length of a random group at density d < 1/6 is exactly 1
Roads and Rations: Logistics and Storage on the Ptolemaic Route from Edfu to Berenike (Egypt)
No full textInternational audienceThis paper reconstructs the logistical and storage systems that underpinned the Ptolemaic road linking Edfu to Berenike, a route created in the third century BCE to support large-scale elephant-hunting expeditions and sustained movement across Egypt’s Eastern Desert. Drawing on archaeological evidence from the road stations at Bir Samut and Abbad, combined with extensive ostraca documenting provisioning and administration, we examine how foodstuffs, especially grain, were transported, stored, processed, and redistributed in an environment defined by extreme aridity and risk.We argue that the success of this route depended not simply on the construction of wells and stations, but on an integrated system of storage technologies designed to manage periodic surges in consumption while minimizing spoilage and loss. Grain, water, and other provisions were stockpiled in advance at major stations, redistributed to smaller installations, and issued to station personnel, supply caravans, and expedition members according to tightly regulated ration systems. Amphoras played a central role in this process. Far from serving only as transport containers, Upper Egyptian Ptolemaic amphoras functioned as flexible storage devices at multiple scales: as sealed containers for bulk provisioning, as standardized volumetric units that facilitated accounting, and later as reused installations embedded in floors for short-term storage within kitchens and workspaces.The paper situates these practices within broader discussions of Ptolemaic statecraft, emphasizing how storage infrastructures reveal administrative priorities and attitudes toward risk, surplus, and control. The standardized capacities of amphoras, their adaptation to camel transport, and their close correspondence with accounting units underscore the degree to which material culture was shaped by bureaucratic needs. At the same time, the archaeological record reveals a parallel layer of improvisation in food processing and secondary storage, reflecting the lived realities of residents and travelers operating within this centralized system.Cet article propose une reconstitution des systèmes logistiques et de stockage attestés sur la route ptolémaïque reliant Edfou à Bérénice, un axe crée au IIIe s. av. J.-C. pour permettre le passage de très grandes expéditions de chasse à l’éléphant et plus largement pour favoriser les circulations dans le désert Oriental égyptien à cette période. En nous appuyant sur les données archéologiques issues des stations routières de Bir Samut et d’Abbad, ainsi que sur un corpus abondant d’ostraca documentant les pratiques d’approvisionnement et d’administration des stocks, nous examinons les modalités de transport, de stockage, de transformation et de redistribution des céréales dans un environnement marqué par des conditions extrêmes.Nous montrerons que le succès de cette route n’a pas reposé uniquement sur la construction de puits et de stations, mais également sur un système intégré de technologies de stockage conçu pour gérer des pics périodiques de consommation tout en limitant les pertes et l’altération des denrées. Les céréales, l’eau et les autres provisions étaient stockées à l’avance dans les stations principales, redistribuées vers des stations secondaires, distribuées au personnel des stations, aux caravanes de ravitaillement et aux membres des expéditions selon un système de rations strictement réglementé. Les amphores ont joué un rôle central dans ce dispositif. Loin de servir uniquement de conteneurs de transport, les amphores ptolémaïques de Haute Égypte ont servi de dispositifs de stockage polyvalents à différentes échelles : conteneurs hermétiques pour l’approvisionnement en vrac, unités volumétriques standardisées facilitant la comptabilité, puis, dans un second temps, dispositifs réemployés pour le stockage de courte durée dans les cuisines et les espaces de travail des stations.L’article inscrit ces pratiques dans une réflexion plus large sur le fonctionnement de l’État lagide, en soulignant la manière dont les infrastructures de stockage témoignent de certaines priorités dictées par l’administration, ainsi que les attitudes des membres de l’administration face au risque, au surplus et au contrôle. Les capacités standardisées des amphores, leur adaptation au transport à dos de chameau et leur étroite correspondance avec les unités comptables mettent en évidence le degré auquel la culture matérielle a pu être façonnée par les exigences bureaucratiques. Parallèlement, les vestiges archéologiques révèlent un niveau d’improvisation dans les pratiques de transformation alimentaire et de stockage secondaire au sein des stations, reflet des réalités vécues par les résidents et les voyageurs opérant au sein de ce système centralisé
Plinthine/Kôm el-Nogous I. Habitat, ressources et culture matérielle de deux quartiers d’un village viticole à l’époque saïto-perse
No full textInternational audienc
Code de la Justice pénale des mineurs :Les nouvelles temporalités juridiques et professionnelles
No full textProjet de recherche financé proposant une analyse du nouveaux rythme procédural introduit par le Code de la justice pénale des mineurs au prisme des conditions de travail des professionnel
Autorytet papieski żądany zza Alp: kolekcja kanoniczna w wielotekstowych kodeksach renesansu karolińskiego jako świadek relacji centrum-peryferie
No full textInternational audienc
Almost cohomology of finite-dimensional Lie rings
No full textWe introduce almost cohomology groups for Lie rings definable in finite-dimensional theory. In particular, we define the 0th and 1st almost cohomology groups of a Lie ring module. Moreover, we prove that the 1st almost cohomology group of a finite-dimensional definable Lie ring module is finite if the 0th almost cohomology group is finite
Experimental and theoretical insights into Ce<sup>3+</sup>-doped optical fiber luminescence mechanisms under X-rays
No full textInternational audienceIn this paper, we present a combined experimental and theoretical approach allowing the analysis of the joint processes of radioluminescence (RL), phosphorescence (PP), and fibered thermoluminescence (FTSL) during and after exposure of a Ce3+-doped optical fiber to X-rays. The experimental study shows that the integrated signal originating from the three processes is temperature independent for cumulated dose at least up to 300 Gy (SiO 2 ). A theoretical model was used to fit the emission signal data, explaining the physical processes at stake and allowing the extraction of the trapped carriers' populations. Furthermore, on the applicative side, replacing FTSL with optically stimulated luminescence (OSL) also leads to an integrated signal linearly dependent as a function of dose rate and without dependence on the temperature of irradiation. Those results open perspectives for temperature-independent real-time emission dosimetry through a highly flexible, reliable and sustainable fibered optical setup
Quand la publicité flirte avec l’art. Les premiers pas de la publicité en France (fin XIXe – début XXe siècle)
No full textNational audienc
Neuroimaging and Pathology Biomarkers in Parkinson's Disease and Parkinsonism
No full textInternational audienceThe "Neuroimaging and Pathology Biomarkers in Parkinson's Disease" course held on 12-13 September 2025 in Milan, Italy, convened an international faculty to review state-ofthe-art biomarkers spanning neurotransmitter dysfunction, protein pathology and clinical translation. Here, we synthesize the four themed sessions and highlights convergent messages for diagnosis, stratification and trial design. The first session focused on neuroimaging markers of neurotransmitter dysfunction, highlighting how positron emission tomography (PET), single photon emission computed tomography (SPECT), and magnetic resonance imaging (MRI) provided complementary insights into dopaminergic, noradrenergic, cholinergic and serotonergic dysfunction. The second session addressed in vivo imaging of protein pathology, presenting recent advances in PET ligands targeting αsynuclein, progress in four-repeat tau imaging for progressive supranuclear palsy and corticobasal syndromes, and the prognostic relevance of amyloid imaging in the context of mixed pathologies. Imaging of neuroinflammation captures inflammatory processes in vivo and helps study pathophysiological effects. The third session bridged pathology and disease mechanisms, covering the biology of α-synuclein and emerging therapeutic strategies, the clinical potential of seed amplification assays and skin biopsy, the impact of co-pathologies on disease expression, and the "brain-first" versus "body-first" model of pathological spread. Finally, the fourth session addressed disease progression and clinical translation, focusing on imaging predictors of phenoconversion from prodromal to clinically overt stages of synucleinopathies, concepts of neural reserve and compensation, imaging correlates of cognitive impairment, and MRI approaches for atypical parkinsonism. Biomarker-informed pharmacological, infusion-based, and surgical strategies, including network-guided and adaptive deep brain stimulation, were discussed as examples of how multimodal biomarkers may inform personalized management. Across all sessions, the need for harmonization, longitudinal validation, and pathology-confirmed outcome mea