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Sharp Poincaré-Hardy and Poincaré-Rellich inequalities on the hyperbolic space
No full textWe study Hardy-type inequalities associated to the quadratic form of the shifted Laplacian on the hyperbolic space. We find the optimal constant in a resulting Poincaré-Hardy inequality, which includes a further remainder term which makes it sharp also locally: the resulting operator is in fact critical in the sense of [B. Devyver, M. Fraas, Y. Pinchover J. Funct. Anal. 2014]. A related improved Hardy inequality on more general manifolds, under suitable curvature assumption and allowing for the curvature to be possibly unbounded below, is also shown. It involves an explicit, curvature dependent and typically unbounded potential, and is again optimal in a suitable sense. Furthermore, with a different approach, we prove Rellich-type inequalities associated with the shifted Laplacian, which are again sharp in suitable senses
Activities in mathematics course for undergraduate students: from origami to software
No full textIn this paper, I describe some activities proposed to students of the General Mathematics course at three years Architecture Degree of Politecnico di Torino. Students attending the course show some difficulties in studying the topics, mainly due to the intrinsic difficulty of topics and to the lack of interest have they in them. Here are some examples of activities proposed in this course and enthusiastically received from the students. For this purpose, different tools are used: from the ancient origami art to modern software as GeoGebra. This approach often surprises students and shows them that they can see and use mathematics in many different ways
Quantitative dynamics of protein complexes in plant photosynthetic membranes upon light acclimation
No full textComparison of conditional tests on Poisson data
No full textAbstract We compare four conditional tests for Poisson data through a simulation study: the exact binomial test, its asymptotic approximation, a Markov Chain Monte Carlo test and the standard permutation test. Despite being non-parametric, we observe that permutation tests are as effective as the others. From a theoretical point of view we justify this result by observing that the orbits of permutations form a good partition of the conditional space
Simulation-based exploration of high-dimensional system models for identifying unexpected events
No full textAn Adaptive Metamodel-Based Subset Importance Sampling approach for the assessment of the functional failure probability of a thermal-hydraulic passive system
No full textBiennale di Saint-Etienne, avete detto lavoro?
No full textShifting working paradigms: la decima edizione della Biennale internazionale del design affronta il tema della trasformazione del lavoro, nelle mutate accezioni odierne del termine e nelle sue riverberazioni su spazio e societ
Interrelation of structure and operational states in cascading failure of overloading lines in power grids
No full textCentro Culturale Lou Pourtoun
No full textPresentazione del Centro Culturale Lou Pourtoun di Ostana nel numero monografico della rivista Turris Babel, rivista della Fondazione Architettura Alto Adige, dedicato ai 22 progetti finalisti del premio Architetti Arco Alpino 2016. Il Centro Centro Culturale Lou Pourtoun è l'edificio consacrato ad ospitare le molte iniziative culturali (mostre, incontri, attività didattiche, ecc) del piccolo borgo occitano in alta Valle Po ed è divenuto immediatamente il luogo simbolo delle rinascita della Borgata Miribrart
Photocurable polymeric coatings for improved stability and multifunctionality in solution-processable photovoltaics
No full textPhotovoltaic (PV) technology has evolved rapidly in the past few decades and now encompasses a large variety of materials and device structures. A key aspect to be taken into account in any PV technology is the operational durability of these systems in outdoor conditions. Clearly, loss of performance during operation represents a significant drawback and limitation for their commercialization. In this context, the large compositional flexibility of polymeric materials as well as their proven easy processability may be of great help in imparting improved durability to PV systems. In this contribution, a series of photocurable fluoropolymeric systems will be presented that find application as multifunctional coatings for different solution-processable PV devices, including dye-sensitized solar cells (DSSCs), organic PVs (OPVs) and perovskite solar cells (PSCs). Aspects related to the chemical functionalization of the coating precursors will be addressed in view of the incorporation of multiple functionalities into the final coating material, such as high photochemical durability, luminescent down-shifting, UV-screening, high hydrophobicity and easy-cleanability. In addition, a thorough chemical and physical characterization of the coating materials will be presented. The functional properties of these systems will be evaluated by integrating them into operating DSSC, OPV and PSC devices. It will be demonstrated that by synthetically tuning the functionality of the coating system as a function of the target PV technology, improved power conversion efficiency and unmatched long-term operational stability can be achieved on all PV systems investigated. The general approach presented here gives a clear demonstration of the enormous potential of this technology for the straightforward fabrication of solution-processable PV devices with improved performance and enhanced stability without altering the chemistry of the photoactive layer