Mesures de Mahler et \'equidistribution logarithmique

Let X be a projective integral normal scheme over a number field F; let L be a ample line bundle on X together with a semi-positive adelic metric in the sense of Zhang. The main results of this article are 1) A formula which computes the height (relative to L) of a Cartier divisor D on X as generalized "Mahler measures", i.e. by integrating Green functions for D against measures attached to L. 2) a theorem of equidistribution of points of "small" height valid for functions with logarithmic singularities along a divisor D, provided the height of D is "minimal". In the context of algebraic dynamics, "small" means of height converging to 0, and "minimal" means height 0.Comment: 33 pages, in frenc

GJ 273: On the formation, dynamical evolution, and habitability of a planetary system hosted by an M dwarf at 3.75 parsec

Context. Planets orbiting low-mass stars such as M dwarfs are now considered a cornerstone in the search for life-harbouring planets. GJ 273 is a planetary system orbiting an M dwarf only 3.75 pc away, composed of two confirmed planets, GJ 273b and GJ 273c, and two promising candidates, GJ 273d and GJ 273e. Planet GJ 273b resides in the habitable zone. Currently, due to a lack of observed planetary transits, only the minimum masses of the planets are known: Mb sin ib=2.89 M⊕, Mc sin ic=1.18 M⊕, Md sin id=10.80 M⊕, and Me sin ie=9.30 M⊕. Despite being an interesting system, the GJ 273 planetary system is still poorly studied. Aims. We aim at precisely determine the physical parameters of the individual planets, in particular to break the mass–inclination degeneracy to accurately determine the mass of the planets. Moreover, we present thorough characterisation of planet GJ 273b in terms of its potential habitability. Methods. First, we explored the planetary formation and hydration phases of GJ 273 during the first 100 Myr. Secondly, we analysed the stability of the system by considering both the two- and four-planet configurations. We then performed a comparative analysis between GJ 273 and the Solar System, and searched for regions in GJ 273 which may harbour minor bodies in stable orbits, i.e. main asteroid belt and Kuiper belt analogues. Results. From our set of dynamical studies, we obtain that the four-planet configuration of the system allows us to break the mass– inclination degeneracy. From our modelling results, the masses of the planets are unveiled as: 2:89 ≤ Mb ≤ 3:03 M⊕, 1:18 ≤ Mc ≤ 1:24 M⊕, 10:80 ≤ Md ≤ 11:35 M⊕ and 9:30 ≤ Me ≤ 9:70 M⊕. These results point to a system likely composed of an Earth-mass planet, a super-Earth and two mini-Neptunes. From planetary formation models, we determine that GJ 273b was likely an efficient water captor while GJ 273c is probably a dry planet. We found that the system may have several stable regions where minor bodies might reside. Collectively, these results are used to comprehensively discuss the habitability of GJ 273bSpanish Ministry of Science and Education Ramón y Cajal programme ESP2017-87676-2-2 RYC-2012-09913CONICYT- FONDECYT/Chile Postdoctorado 3180405MIT’s Kavli Institut

Corporate and start-up relationships : Between strategy crafting and evaluation, what place for co-exploration practices?

Comment les relations qui se lient entre start-up et grandes entreprises influencent-elles l’élaboration de la stratégie des start-up et comment les grandes entreprises évaluent elles la valeur des start-up avec lesquelles elles collaborent ? Pour répondre à ces questions nous avons mis en œuvre trois démarches de recherche sur un terrain commun : la société Impulse Partners, incubateur de start-up dans le secteur de la construction et de l’immobilier. Nos travaux mettent en évidence que les rencontres entre start-up et grandes entreprises mettent jeu des phénomènes de conception non organisés et nous proposons un format d’atelier d’exploration qui permette à la start-up de tirer profit des connaissances des grands groupes pour reconcevoir son offre de valeur et aux grandes entreprises de mieux évaluer le potentiel de valeur des start-up.How do the relationships between start-ups and large companies influence the development of thestart-up strategy and how do large companies evaluate the value of the start-ups with which they collaborate? To answer this double question, we have implemented three complementary research approaches on a common ground: Impulse Partners, a start-up incubator specializing in theconstruction and real estate sector. Our work highlights that meetings between start-ups and large companies bring into play unorganized design phenomena and we propose a collective exploration workshop format that allows the start-up to take advantage of the knowledge of major groups. to consider redesigning its value proposition and to large companies to better evaluate a priori the maximum value potential of the start-up

Relations entre start-up et grandes entreprises : entre fabrique de la stratégie et évaluation, quelle place pour des pratiques de co-exploration ?

How do the relationships between start-ups and large companies influence the development of thestart-up strategy and how do large companies evaluate the value of the start-ups with which they collaborate? To answer this double question, we have implemented three complementary research approaches on a common ground: Impulse Partners, a start-up incubator specializing in theconstruction and real estate sector. Our work highlights that meetings between start-ups and large companies bring into play unorganized design phenomena and we propose a collective exploration workshop format that allows the start-up to take advantage of the knowledge of major groups. to consider redesigning its value proposition and to large companies to better evaluate a priori the maximum value potential of the start-up.Comment les relations qui se lient entre start-up et grandes entreprises influencent-elles l’élaboration de la stratégie des start-up et comment les grandes entreprises évaluent elles la valeur des start-up avec lesquelles elles collaborent ? Pour répondre à ces questions nous avons mis en œuvre trois démarches de recherche sur un terrain commun : la société Impulse Partners, incubateur de start-up dans le secteur de la construction et de l’immobilier. Nos travaux mettent en évidence que les rencontres entre start-up et grandes entreprises mettent jeu des phénomènes de conception non organisés et nous proposons un format d’atelier d’exploration qui permette à la start-up de tirer profit des connaissances des grands groupes pour reconcevoir son offre de valeur et aux grandes entreprises de mieux évaluer le potentiel de valeur des start-up

Le Transit Simulator, L’infiniment loin, sous vos yeux, de 5 à 105 ans

Par cette contribution, nous (le collectif Young Minds Liège) présentons notre expérience de vulgarisateur à des publiques variés, tant en âges qu'en éducation scientifique. Cette illustration se fait au travers du dispositif que nous avons élaboré pour représenter le phénomène physique sous-jacent à la détection d'exoplanètes

Théorie du potentiel sur les courbes en géométrie analytique non archimédienne (applications à la théorie d'Arakelov)

Nous montrons que le point de vue introduit par V.G. Berkovich en géométrie analytique non archimédienne permet de développer, sur toute courbe lisse X, une théorie du potentiel analogue à celle dont on dispose sur une surface de Riemann. La motivation initiale, arithmétique, provient des travaux de R. Rumely. Nous définissons le faisceau des fonctions harmoniques sur X puis vérifions qu'il possède les propriétés usuelles ; le théorème de réduction semi-stable permet de se ramener à des graphes. Nous introduisons alors des espaces de fonctions-test et un opérateur linéaire, analogue du laplacien complexe, se prolongeant par dualité à l'espace des fonctions réelles sur X. Ceci fournit, en particulier, la correspondance attendue entre fonctions sous-harmoniques et mesures de Radon positives sur X. La théorie d'Arakelov en dimension 1 peut être conçue comme l'étude de l'arithmétique des courbes algébriques sur Q via les théories du potentiel associées aux différentes valeurs absolues sur Q.RENNES1-BU Sciences Philo (352382102) / SudocSudocFranceF

Desingning to decide : conceptual architecture of innovative projects proposals analysis and managerial implication

Startup companies face many challenges in the early years of their existence. During these critical stages, they must convince decision makers to provide them with critical resources, such as capital investments, support from startup incubators, or obtaining grants or subsidies.To succeed, entrepreneurs must present their fledgling businesses in an engaging and convincing way. As they create legitimacy surrounding their entrepreneurial project, they tend to bend reality by presenting their ideas as being far more developed and mature than is the case. While presenting a well-defined project hides the “fuzzy” aspects of innovation and creating a new business, it may present a risk that fixates and curtails the startup’s ability to adjust their trajectory as they move ahead.In this paper, we study a specific formalization of innovative ideas: startup pitch decks. We analyze 121 startups as they apply to enter an incubator. In this paper, we identify common trends and differences in their content and structure. We then show how a presentation’s content can be characterized using formal design theory as a descriptive language and decision-making tool by proposing a model we call “conceptual architecture”. Further analysis of interactions between entrepreneurs and the incubator’s selection committee explores the decision process as a design task that densifies the conceptual content of the pitch. We then suggest a process of systematic conceptual densification that could help both entrepreneurs and decision makers fully express the potential of an idea in terms of continued or future product development, or in some cases preparing entrepreneurs for a shift or “pivot” towards an alternative but conceptually related market

Moving to higher ground: building innovation capabilities to overcome conceptual biases in new product development

Startup companies face many challenges in the early years of their existence. During these critical stages, they are often required to convince decision makers to allocate critical resources to themto obtain venture capital, support from a startup incubator, orgovernment subsidie