Abelian versus non-Abelian Baecklund Charts: some remarks

Connections via Baecklund transformations among different non-linear evolution equations are investigated aiming to compare corresponding Abelian and non Abelian results. Specifically, links, via Baecklund transformations, connecting Burgers and KdV-type hierarchies of nonlinear evolution equations are studied. Crucial differences as well as notable similarities between Baecklund charts in the case of the Burgers - heat equation, on one side and KdV -type equations are considered. The Baecklund charts constructed in [16] and [17], respectively, to connect Burgers and KdV-type hierarchies of operator nonlinear evolution equations show that the structures, in the non-commutative cases, are richer than the corresponding commutative ones.Comment: 18 page

The Judicial ‘Bail Out’ of the European Stability Mechanism: Comment on the Pringle Case. Research Paper in Law 09/2013

Since the beginning of the crisis, many responses have been taken to stabilise the European markets. Pringle is the awaited judicial response of the European Court of Justice on the creation of the European Stability Mechanism (ESM), a crisis-related intergovernmental international institution which provides financial assistance to Member States in distress in the Eurozone. The judgment adopts a welcome and satisfactory approach on the establishment of the ESM. This article examines the feasibility of the ESM under the Treaty rules and in light of the Pringle judgment. For the first time, the Court was called to appraise the use of the simplified revision procedure under article 48 TEU with the introduction of a new paragraph to article 136 TFEU as well as to interpret the no bail out clause under article 125 TFEU. The final result is rather positive as the Court endorses the establishment of a stability mechanism of the ESM-kind beyond a strict reading of the Treaty rules. Pringle is the first landmark ECJ decision in which the Court has endorsed the use of new and flexible measures to guarantee financial assistance between Member States. This judgment could act as a springboard for more economic, financial and, possibly, political interconnections between Member States

Population kinetic models for social dynamics: Dependence on structural parameters

A kinetic equation of the Boltzmann kind is adopted to approach the analysis of a population of individuals subject to social interactions. The state variable, referred to a dominant social feature such as the individual wealth, is defined on the whole real axis. Different kinds of interactions are allowed, both on a stochastic and a deterministic basis. Structural parameters are varied, and the related system sensitivity analysed. © 2002 Elsevier Science Ltd. All rights reserved

From post-democracy to post-truth politics : the crisis of contemporary democracy in three analytical moves.

Este ensayo tiene como objetivo tematizar el tema de la posverdad en la constelación ‘posdemocrática’. Desde esta perspectiva, en primer lugar, ilustra los contenidos y las características del amplio concepto de posdemocracia, luego analiza tanto el tema de la crisis de la democracia como el impacto que el modelo de capitalismo neoliberal contemporáneo tiene sobre estos procesos. Por lo tanto, aborda los temas relacionados con las nuevas tecnologías y los cambios en la comunicación política, junto con el desarrollo de la fenomenología neopopulista. También se propondrán, como conclusión, una serie de reflexiones metateóricas sobre la relación entre democracia, conocimiento y representación política.This essay is aimed at thematising the topic of post-truth in the ‘post-democratic’ constellation. From this perspective, it firstly illustrates contents and features of the broad concept of post-democracy, therefore analysing both the issue of the crisis of democracy and the impact of contemporary neoliberal platform capitalism on these process. Hence, it addresses the related topics of new technologies and changes in political communication, along with the unfolding of the neo-populist phenomenology. A number of concluding meta-theoretical reflections on the relationship between democracy, knowledge and political representation are also developed

The modelling of political dynamics by generalized kinetic (Boltzmann) models

This paper deals with the development of mathematical structures suitable to include a variety of Boltzmann type models for social competition. The first part is devoted to derive the framework suitable to design general models. The second part deals with some applications and simulations in the field of social dynamics, and specifically about-the free choice of each individual about one among several families which partition the whole population. Finally, a critical analysis towards research perspectives is proposed. (C) 2003 Elsevier Science Ltd. All rights reserved

A novel noncommutative KdV-type equation, its recursion operator, and solitons

A noncommutative KdV-type equation is introduced extending the Baecklund chart in [S. Carillo, M. Lo Schiavo, and C. Schiebold, SIGMA 12 (2016)]. This equation, called meta-mKdV here, is linked by Cole-Hopf transformations to the two noncommutative versions of the mKdV equations listed in [P.J. Olver and V.V. Sokolov Commun. Math. Phys. 193 (1998), Theorem 3.6]. For this meta-mKdV, and its mirror counterpart, recursion operators, hierarchies and an explicit solution class are derived

Il Nuraghe Arrubiu di Orroli: Passato, presente, futuro

Sin resumenSin resume

An artificial neural network approach for modelling the ward atmosphere in a medical unit

Artificial neural networks (ANNs) have been developed, implemented and tested on the basis of a four-year-long experimental data set, with the aim of analyzing the performance and clinical outcome of an existing medical ward, and predicting the effects that possible readjustments and/or interventions on the structure may produce on it. Advantages of the ANN technique over more traditional mathematical models are twofold: on one hand, this approach deals quite naturally with a large number of parameters/variables, and also allows to identify those variables which do not play a crucial role in the system dynamics; on the other hand, the implemented ANN can be more easily used by a staff of non-mathematicians in the unit, as an on-site predictive tool. As such, the ANN model is particularly suitable for the case study. The predictions from the ANN technique are then compared and contrasted with those obtained from a generalized kinetic approach previously proposed and tested by the authors. The comparison on the two case periods shows the ANN predictions to be somewhat closer to the experimental values. However, the mean deviations and the analysis of the statistical coefficients over a span of multiple years suggest the kinetic model to be more reliable in the long run, i.e., its predictions can be considered as acceptable even on periods that are quite far away from the two case periods over which the many parameters of the model had been optimized. The approach under study, referring to paradigms and methods of physical and mathematical models integrated with psychosocial sciences, has good chances of gaining the attention of the scientific community in both areas, and hence of eventually obtaining wider diffusion and generalization.