Uniformization, Unipotent Flows and the Riemann Hypothesis

We prove equidistribution of certain multidimensional unipotent flows in the moduli space of genus $g$ principally polarized abelian varieties (ppav). This is done by studying asymptotics of $\pmb{\Gamma}_{g} \sim Sp(2g,\mathbb{Z})$-automorphic forms averaged along unipotent flows, toward the codimension-one component of the boundary of the ppav moduli space. We prove a link between the error estimate and the Riemann hypothesis. Further, we prove $\pmb{\Gamma}_{g - r}$ modularity of the function obtained by iterating the unipotent average process $r$ times. This shows uniformization of modular integrals of automorphic functions via unipotent flows

Integrazione. Le barriere della comunicazione

L'importanza ormai ampiamente riconosciuta, della comunicazione interculturale come strumento di integrazione sociale e culturale degli stranieri e, dunque, come obiettivo delle politiche pubbliche. L'idea di integrazione cui si fa riferimento in questo contesto, rimanda ad una interazione positiva, sostenuta da una adeguata strategia comunicativa , con l\u2019obiettivo di favorire percorsi di inclusione e partecipazione alla vita pubblica locale. Alla base di questa idea di integrazione vi \ue8 la consapevolezza che il riconoscimento di taluni diritti di per s\ue9 non \ue8 sufficiente a garantirne il rispetto e la possibilit\ue0 di esercizio da parte dei soggetti titolari, se non accompagnato dalla messa in atto di strumenti di informazione e facilitazione adeguati ed efficaci a rendere effettivo tale esercizio. Realizzare condizioni di pari opportunit\ue0 di accesso ai servizi, compresi quelli informativi, \ue8 dunque un obiettivo ineludibile di una politica impegnata a promuovere la rimozione di ostacoli di ordine linguistico, sociale e culturale che impediscono alle persone straniere o a particolari porzioni della popolazione straniera (es. donne, richiedenti asilo e rifugiati, nomadi) la reale fruizione del \u201csistema dei servizi pubblici\u201d

LCA of Different Construction Choices for a Double-Track Railway Line for Sustainability Evaluations

The international commitment to achieve carbon neutrality in the next few decades has oriented human activities towards the preservation of natural and non-renewable resources. In this context, a great research effort has been devoted to the search for sustainable solutions for the infrastructure construction sector, based on a thorough assessment of the environmental impact (EI). In this regards, Life Cycle Assessment (LCA) is considered one of the main components of Environmental Impact Assessment (EIA) and, for a comprehensive analysis, all the costs incurred by stakeholders during the useful life of the infrastructure should also be taken into account, applying the Life Cycle Cost (LCC) methodology. So far, there is a lack of combined LCA and LCC analyses of railway projects to support a proper sustainable decision-making process at a project level. Therefore, this study aimed to contributed to this topic by determining the environmental effect and related costs of different planning and construction choices in terms of material and maintenance strategies. For this purpose, first, an LCA of typical railway infrastructures with a ballasted track was developed. The case study considered two different functional units of a double-track railway line: 1 km of embankment section and 1 km of a cut section, in straight alignment. After defining five alternative railway infrastructure scenarios with different materials (virgin or recycled material) and construction methods (e.g., lime stabilization), two different railway track maintenance approaches were analysed. SimaPro was used to analyse the case study, and the results were compared with those obtained using the PaLATE software, suitably adapted for use in the railway sector. Finally, a cost analysis was carried out using Life Cycle Cost (LCC) methodology for all the scenarios analysed. The results obtained in terms of EI and related costs of each scenario provide useful information, allowing a sustainable planning approach: as a general result, the initial construction phase always involves the larger part of the total environmental impact while the material production is the most polluting phase, reaching percentages always higher than 50% of the total

Characteristics of Feedback that Influence Student Confidence and Performance during Mathematical Modeling

This study focuses on characteristics of written feedback that influence students’ performance and confidence in addressing the mathematical complexity embedded in a Model-Eliciting Activity (MEA). MEAs are authentic mathematical modeling problems that facilitate students’ iterative development of solutions in a realistic context. We analyzed 132 first-year engineering students’ confidence levels and mathematical model scores on aMEA(pre and post feedback), along with teaching assistant feedback given to the students. The findings show several examples of affective and cognitive feedback that students reported that they used to revise their models. Students’ performance and confidence in developing mathematical models can be increased when they are in an environment where they iteratively develop models based on effective feedback