Strong semiclassical gravity in the universe and the laboratory

Three published papers are resumed in this thesis. Different aspects of the semiclassical theory of gravity are discussed. In chapter 1 we find a new perturbative (yet analytical) solution to the unsolved problem of the metric junction between two Friedmann-Robertson-Walker using Israel's formalism. The case of an expanding radiation core inside an expanding or collapsing dust exterior is treated. This model can be useful in the "landscape" cosmology in string theory or for treating new gravastar configurations. In chapter 2 we investigate the possible use of the Kodama vector field as a substitute for the Killing vector field. In particular we find the response function of an Unruh detector following an (accelerated) Kodama trajectory. The detector has finite extension and backreaction is considered. In chapter 3 we study the possible creation of microscopic black holes at LHC in the brane world model. It is found that the black hole tidal charge has a fundamental role in preventing the formation of the horizon.

Quantum Correlations in Field Theory and Integrable Systems

In this thesis we will investigate some properties of one-dimensional quantum systems. From a theoretical point of view quantum models in one dimension are particularly interesting because they are strongly interacting, since particles cannot avoid each other in their motion, and you we can never ignore collisions. Yet, integrable models often generate new and non-trivial solutions, which could not be found perturbatively. In this dissertation we shall focus on two important aspects of integrable one- dimensional models: Their entanglement properties at equilibrium and their dynamical correlators after a quantum quench. The first part of the thesis will be therefore devoted to the study of the entanglement entropy in one- dimensional integrable systems, with a special focus on the XYZ spin-1/2 chain, which, in addition to being integrable, is also an interacting model. We will derive its Renyi entropies in the thermodynamic limit and its behaviour in different phases and for different values of the mass-gap will be analysed. In the second part of the thesis we will instead study the dynamics of correlators after a quantum quench , which represent a powerful tool to measure how perturbations and signals propagate through a quantum chain. The emphasis will be on the Transverse Field Ising Chain and the O(3) non-linear sigma model, which will be both studied by means of a semi-classical approach. Moreover in the last chapter we will demonstrate a general result about the dynamics of correlation functions of local observables after a quantum quench in integrable systems. In particular we will show that if there are not long-range interactions in the final Hamiltonian, then the dynamics of the model (non equal- time correlations) is described by the same statistical ensemble that describes its statical properties (equal-time correlations).

On the GKP Vacuum in Gauge/Gravity Correspondences

Within the framework of the AdS5/CFT4 correspondence, the GKP string living on a AdS5 x S5 background finds a counterpart in the anti-ferromagnetic vacuum state for the spin chain, fruitfully employed to investigate the dual N=4 SYM superconformal gauge theory. The thesis mainly deals with the excitations over such a vacuum: dispersion relations and scattering matrices are computed, moreover a set of Asymptotic Bethe Ansatz equations is formulated. Furthermore, the survey of the GKP vacuum within the AdS4/CFT3 duality between a string theory on AdS4 x CP 3 and N=6 Chern-Simons reveals intriguing connections relating the latter to N=4 SYM, in a peculiar high spin limit.

Non-Linear Pricing in Imperfectly Competitive Markets

This thesis is dedicated to the analysis of non-linear pricing in oligopoly. Non-linear pricing is a fairly predominant practice in most real markets, mostly characterized by some amount of competition. The sophistication of pricing practices has increased in the latest decades due to the technological advances that have allowed companies to gather more and more data on consumers preferences. The first essay of the thesis highlights the main characteristics of oligopolistic non-linear pricing. Non-linear pricing is a special case of price discrimination. The theory of price discrimination has to be modified in presence of oligopoly: in particular, a crucial role is played by the competitive externality that implies that product differentiation is closely related to the possibility of discriminating. The essay reviews the theory of competitive non-linear pricing by starting from its foundations, mechanism design under common agency. The different approaches to model non-linear pricing are then reviewed. In particular, the difference between price and quantity competition is highlighted. Finally, the close link between non-linear pricing and the recent developments in the theory of vertical differentiation is explored. The second essay shows how the effects of non-linear pricing are determined by the relationship between the demand and the technological structure of the market. The chapter focuses on a model in which firms supply a homogeneous product in two different sizes. Information about consumers' reservation prices is incomplete and the production technology is characterized by size economies. The model provides insights on the size of the products that one finds in the market. Four equilibrium regions are identified depending on the relative intensity of size economies with respect to consumers' evaluation of the good. Regions for which the product is supplied in a single unit or in several different sizes or in only a very large one. Both the private and social desirability of non-linear pricing varies across different equilibrium regions. The third essay considers the broadband internet market. Non discriminatory issues seem the core of the recent debate on the opportunity or not of regulating the internet. One of the main questions posed is whether the telecom companies, owning the networks constituting the internet, should be allowed to offer quality-contingent contracts to content providers. The aim of this essay is to analyze the issue through a stylized two-sided market model of the web that highlights the effects of such a discrimination over quality, prices and participation to the internet of providers and final users. An overall welfare comparison is proposed, concluding that the final effects of regulation crucially depend on both the technology and preferences of agents.

Welfare provision in Sweden and the dominant position of the Sap

There have been almost fifty years since Harry Eckstein' s classic monograph, A Theory of Stable Democracy (Princeton, 1961), where he sketched out the basic tenets of the “congruence theory”, which was to become one of the most important and innovative contributions to understanding democratic rule. His next work, Division and Cohesion in Democracy, (Princeton University Press: 1966) is designed to serve as a plausibility probe for this 'theory' (ftn.) and is a case study of a Northern democratic system, Norway. What is more, this line of his work best exemplifies the contribution Eckstein brought to the methodology of comparative politics through his seminal article, “ “Case Study and Theory in Political Science” ” (in Greenstein and Polsby, eds., Handbook of Political Science, 1975), on the importance of the case study as an approach to empirical theory. This article demonstrates the special utility of “crucial case studies” in testing theory, thereby undermining the accepted wisdom in comparative research that the larger the number of cases the better. Although not along the same lines, but shifting the case study unit of research, I intend to take up here the challenge and build upon an equally unique political system, the Swedish one. Bearing in mind the peculiarities of the Swedish political system, my unit of analysis is going to be further restricted to the Swedish Social Democratic Party, the Svenska Arbetare Partiet. However, my research stays within the methodological framework of the case study theory inasmuch as it focuses on a single political system and party. The Swedish SAP endurance in government office and its electoral success throughout half a century (ftn. As of the 1991 election, there were about 56 years - more than half century - of interrupted social democratic "reign" in Sweden.) are undeniably a performance no other Social Democrat party has yet achieved in democratic conditions. Therefore, it is legitimate to inquire about the exceptionality of this unique political power combination. Which were the different components of this dominance power position, which made possible for SAP's governmental office stamina? I will argue here that it was the end-product of a combination of multifarious factors such as a key position in the party system, strong party leadership and organization, a carefully designed strategy regarding class politics and welfare policy. My research is divided into three main parts, the historical incursion, the 'welfare' part and the 'environment' part. The first part is a historical account of the main political events and issues, which are relevant for my case study. Chapter 2 is devoted to the historical events unfolding in the 1920-1960 period: the Saltsjoebaden Agreement, the series of workers' strikes in the 1920s and SAP's inception. It exposes SAP's ascent to power in the mid 1930s and the party's ensuing strategies for winning and keeping political office, that is its economic program and key economic goals. The following chapter - chapter 3 - explores the next period, i.e. the period from 1960s to 1990s and covers the party's troubled political times, its peak and the beginnings of the decline. The 1960s are relevant for SAP's planning of a long term economic strategy - the Rehn Meidner model, a new way of macroeconomic steering, based on the Keynesian model, but adapted to the new economic realities of welfare capitalist societies. The second and third parts of this study develop several hypotheses related to SAP's 'dominant position' (endurance in politics and in office) and test them afterwards. Mainly, the twin issues of economics and environment are raised and their political relevance for the party analyzed. On one hand, globalization and its spillover effects over the Swedish welfare system are important causal factors in explaining the transformative social-economic challenges the party had to put up with. On the other hand, Europeanization and environmental change influenced to a great deal SAP's foreign policy choices and its domestic electoral strategies. The implications of globalization on the Swedish welfare system will make the subject of two chapters - chapters four and five, respectively, whereupon the Europeanization consequences will be treated at length in the third part of this work - chapters six and seven, respectively. Apparently, at first sight, the link between foreign policy and electoral strategy is difficult to prove and uncanny, in the least. However, in the SAP's case there is a bulk of literature and public opinion statistical data able to show that governmental domestic policy and party politics are in a tight dependence to foreign policy decisions and sovereignty issues. Again, these country characteristics and peculiar causal relationships are outlined in the first chapters and explained in the second and third parts. The sixth chapter explores the presupposed relationship between Europeanization and environmental policy, on one hand, and SAP's environmental policy formulation and simultaneous agenda-setting at the international level, on the other hand. This chapter describes Swedish leadership in environmental policy formulation on two simultaneous fronts and across two different time spans. The last chapter, chapter eight - while trying to develop a conclusion, explores the alternative theories plausible in explaining the outlined hypotheses and points out the reasons why these theories do not fit as valid alternative explanation to my systemic corporatism thesis as the main causal factor determining SAP's 'dominant position'. Among the alternative theories, I would consider Traedgaardh L. and Bo Rothstein's historical exceptionalism thesis and the public opinion thesis, which alone are not able to explain the half century social democratic endurance in government in the Swedish case.

Higher Chern-Simons gauge theory

Higher gauge theory arises naturally in superstring theory, but many of its features remain obscure. In this thesis, after an exposition of the bacis tools in local higher gauge theory, a higher gauge Chern-Simons model is defined. We discuss the classical equations of motion as well as the behaviour of the gauge anomaly. We perform canonical quantization and we introduce two possible quantization schemes for the model. We also expound higher parallel transport in higher gauge theory, and we speculate that it can provide Wilson surfaces as topological observables for the higher gauge Chern-Simons theory.

Nature in the books of seven metals – Ǧābirian corpus in dialogue with ancient Greek philosophy and Byzantine alchemy –

The Ǧābirian corpus was a receiver of ancient Greek ideas and, at the same time, a source of knowledge for the later Greek-speaking world, in particular for medieval Byzantine alchemy. Both aspects are explored in the dissertation with respect to the notion of nature. After a general introduction to the Corpus and the sciences described in it, particular attention is devoted to a Byzantine anonymous text, The Work of Four Elements, which was probably influenced by the Ǧābirian Books of Seventy. These texts exemplify how, in the theory of the Ǧābirian science, things are constructed from four natures (hot, cold, moist and dry), the balance of which defines what a thing is. By changing the balance of natures, one can transmute any metals into gold that is perfectly proportioned in terms of natures. Ǧābir presents the art of dyeing metals gold in the Books of Seven Metals which, along with chrysopoetic recipes, also include medical recipes and theoretical contents such as the theories of four humours, properties, and talismans. Moreover, Ǧābir postulated a substrate that does not change in itself and continues to exist when natures move in and out of things. Such primary existence is called the fifth nature as an additional principle to the four natures. This key concept for the Ǧābirian theory, which has been underexplored so far, is discussed through the textual and critical analysis of various unedited sources: the Books of Seven Metals and the Book of the Fifth Nature. This study confirms that the fifth nature was probably derived from ancient Greek philosophical concepts such as the Empedoclean particles, the Aristotelian fifth element and the Stoic pneuma. Thus, this research indicates the importance of the Ǧābirian corpus both in the history of alchemy and the history of philosophy.

Black hole scattering from Worldline Quantum Field Theory and the Classical Double Copy of Spinning particles

This PhD thesis focuses on studying the classical scattering of massive/massless particles toward black holes, and investigating double copy relations between classical observables in gauge theories and gravity. This is done in the Post-Minkowskian approximation i.e. a perturbative expansion of observables controlled by the gravitational coupling constant κ = 32πGN, with GN being the Newtonian coupling constant. The investigation is performed by using the Worldline Quantum Field Theory (WQFT), displaying a worldline path integral describing the scattering objects and a QFT path integral in the Born approximation, describing the intermediate bosons exchanged in the scattering event by the massive/massless particles. We introduce the WQFT, by deriving a relation between the Kosower- Maybee-O’Connell (KMOC) limit of amplitudes and worldline path integrals, then, we use that to study the classical Compton amplitude and higher point amplitudes. We also present a nice application of our formulation to the case of Hard Thermal Loops (HTL), by explicitly evaluating hard thermal currents in gauge theory and gravity. Next we move to the investigation of the classical double copy (CDC), which is a powerful tool to generate integrands for classical observables related to the binary inspiralling problem in General Relativity. In order to use a Bern-Carrasco-Johansson (BCJ) like prescription, straight at the classical level, one has to identify a double copy (DC) kernel, encoding the locality structure of the classical amplitude. Such kernel is evaluated by using a theory where scalar particles interacts through bi-adjoint scalars. We show here how to push forward the classical double copy so to account for spinning particles, in the framework of the WQFT. Here the quantization procedure on the worldline allows us to fully reconstruct the quantum theory on the gravitational side. Next we investigate how to describe the scattering of massless particles off black holes in the WQFT.

Sostanzialismo e relazionalismo dello spaziotempo alla luce della relatività generale

Until recently the debate on the ontology of spacetime had only a philosophical significance, since, from a physical point of view, General Relativity has been made "immune" to the consequences of the "Hole Argument" simply by reducing the subject to the assertion that solutions of Einstein equations which are mathematically different and related by an active diffeomorfism are physically equivalent. From a technical point of view, the natural reading of the consequences of the "Hole Argument” has always been to go further and say that the mathematical representation of spacetime in General Relativity inevitably contains a “superfluous structure” brought to light by the gauge freedom of the theory. This position of apparent split between the philosophical outcome and the physical one has been corrected thanks to a meticulous and complicated formal analysis of the theory in a fundamental and recent (2006) work by Luca Lusanna and Massimo Pauri entitled “Explaining Leibniz equivalence as difference of non-inertial appearances: dis-solution of the Hole Argument and physical individuation of point-events”. The main result of this article is that of having shown how, from a physical point of view, point-events of Einstein empty spacetime, in a particular class of models considered by them, are literally identifiable with the autonomous degrees of freedom of the gravitational field (the Dirac observables, DO). In the light of philosophical considerations based on realism assumptions of the theories and entities, the two authors then conclude by saying that spacetime point-events have a degree of "weak objectivity", since they, depending on a NIF (non-inertial frame), unlike the points of the homogeneous newtonian space, are plunged in a rich and complex non-local holistic structure provided by the “ontic part” of the metric field. Therefore according to the complex structure of spacetime that General Relativity highlights and within the declared limits of a methodology based on a Galilean scientific representation, we can certainly assert that spacetime has got "elements of reality", but the inevitably relational elements that are in the physical detection of point-events in the vacuum of matter (highlighted by the “ontic part” of the metric field, the DO) are closely dependent on the choice of the global spatiotemporal laboratory where the dynamics is expressed (NIF). According to the two authors, a peculiar kind of structuralism takes shape: the point structuralism, with common features both of the absolutist and substantival tradition and of the relationalist one. The intention of this thesis is that of proposing a method of approaching the problem that is, at least at the beginning, independent from the previous ones, that is to propose an approach based on the possibility of describing the gravitational field at three distinct levels. In other words, keeping the results achieved by the work of Lusanna and Pauri in mind and following their underlying philosophical assumptions, we intend to partially converge to their structuralist approach, but starting from what we believe is the "foundational peculiarity" of General Relativity, which is that characteristic inherent in the elements that constitute its formal structure: its essentially geometric nature as a theory considered regardless of the empirical necessity of the measure theory. Observing the theory of General Relativity from this perspective, we can find a "triple modality" for describing the gravitational field that is essentially based on a geometric interpretation of the spacetime structure. The gravitational field is now "visible" no longer in terms of its autonomous degrees of freedom (the DO), which, in fact, do not have a tensorial and, therefore, nor geometric nature, but it is analyzable through three levels: a first one, called the potential level (which the theory identifies with the components of the metric tensor), a second one, known as the connections level (which in the theory determine the forces acting on the mass and, as such, offer a level of description related to the one that the newtonian gravitation provides in terms of components of the gravitational field) and, finally, a third level, that of the Riemann tensor, which is peculiar to General Relativity only. Focusing from the beginning on what is called the "third level" seems to present immediately a first advantage: to lead directly to a description of spacetime properties in terms of gauge-invariant quantites, which allows to "short circuit" the long path that, in the treatises analyzed, leads to identify the "ontic part” of the metric field. It is then shown how to this last level it is possible to establish a “primitive level of objectivity” of spacetime in terms of the effects that matter exercises in extended domains of spacetime geometrical structure; these effects are described by invariants of the Riemann tensor, in particular of its irreducible part: the Weyl tensor. The convergence towards the affirmation by Lusanna and Pauri that the existence of a holistic, non-local and relational structure from which the properties quantitatively identified of point-events depend (in addition to their own intrinsic detection), even if it is obtained from different considerations, is realized, in our opinion, in the assignment of a crucial role to the degree of curvature of spacetime that is defined by the Weyl tensor even in the case of empty spacetimes (as in the analysis conducted by Lusanna and Pauri). In the end, matter, regarded as the physical counterpart of spacetime curvature, whose expression is the Weyl tensor, changes the value of this tensor even in spacetimes without matter. In this way, going back to the approach of Lusanna and Pauri, it affects the DOs evolution and, consequently, the physical identification of point-events (as our authors claim). In conclusion, we think that it is possible to see the holistic, relational, and non-local structure of spacetime also through the "behavior" of the Weyl tensor in terms of the Riemann tensor. This "behavior" that leads to geometrical effects of curvature is characterized from the beginning by the fact that it concerns extensive domains of the manifold (although it should be pointed out that the values of the Weyl tensor change from point to point) by virtue of the fact that the action of matter elsewhere indefinitely acts. Finally, we think that the characteristic relationality of spacetime structure should be identified in this "primitive level of organization" of spacetime.

I sistemi multipolari. Analisi storica e teorica.

This research undertakes to provide a typology of multipolar systems. Multipolarity plays a key role in IR theory, for it is strictly associated with the history of European politics since the seventeenth century to the end of World War Two. Despite wide investigation, one can doubt the matter has received a definitive treatment. Trouble is that current studies often consider multipolarity as a one-dimensional concept. They obviously reckon that multipolarism is substantially different from other systems and deserves attention, but generally fail to distinguish between different types of multipolar systems (the few exceptions are listed in chapter one). The history of international politics tells us a different story. Multipolar power systems may share some general characteristics, but they also show a wide array of difference, and understanding this difference requires a preliminary work of classification. That is the purpose of the present study. The work is organized as follows. In chapter one, we provide a cursory review of the literature on multipolarity, with particular reference to the work of Duncan Snidal and Joseph Grieco. Then we propose a four-cell typology of multipolar systems to be tested via historical analysis. The first type, hegemony, is best represented by European international system to the time of Napoleonic France, and is discussed in chapter two. Type number two is the traditional concert of Europe, which history is detailed in chapter three. Type number three is the reversal of alliances, which closest example, the diplomatic revolution of 1756, is discussed in chapter four. Finally, chapter five is devoted to the chain-gang system, and the European politics from Bismarck’s late years to World War One represents a good illustration of how it works. In chapter six we proceed to draw a first evaluation of the main results achieved in the previous chapters, in order to see if, and to what extent, our typology serves the purpose of explaining the nature of multipolar systems.

La diagnosi genetica preimpianto: argomenti favorevoli e contrari alla sua legittimità

Questa tesi ricostruisce la storia della giurisprudenza italiana che ha riguardato la legittimità o meno dell’impiego della diagnosi genetica preimpianto nell’ambito della procreazione medicalmente assistita, dall’emanazione della legge 40 del 2004 a tutt’oggi. Ed in particolare questa tesi si prefigge due obiettivi: uno, individuare ed illustrare le tipologie di argomenti utilizzati dal giurista-interprete per giudicare della legittimità o meno della pratica della diagnosi preimpianto degli embrioni prodotti, mediante le tecniche relative alla procreazione assistita; l’altro obiettivo, mostrare sia lo scontro fra i differenti argomenti, sia le ragioni per le quali prevalgono gli argomenti usati per legittimare la pratica della diagnosi preimpianto. Per raggiungere questi obiettivi, e per mostrare in maniera fenomenologica come avviene l’interpretazione giuridica in materia di diagnosi preimpianto, si è fatto principalmente riferimento alla visione che ha della detta interpretazione la prospettiva ermeneutica (concepita originariamente sul piano teoretico, quale ermeneutica filosofica, da H.G. Gadamer; divulgata ed approfondita sul piano giusfilosofico e della teoria dell’interpretazione giudica in Italia, fra gli altri, da F. Viola e G. Zaccaria). Così, in considerazione dei vari argomenti utilizzati per valutare la legittimità o meno della pratica della diagnosi preimpianto, i motivi per i quali in ultimo il giurista-interprete per giudicare ragionevolmente, deve ritenere legittima la pratica della diagnosi preimpianto sono i seguenti. I principi superiori dell’ordinamento e talune direttive giuridiche fondamentali dell’ordinamento, elaborate della giurisprudenza, le quali costituiscono la concretizzazione di detti principi e di una serie di disposizioni normative fondamentali per disciplinare il fenomeno procreativo, depongono per la legittimità della diagnosi preimpianto. Le tipologie degli argomenti impiegati per avallare la legittimità della diagnosi preimpianto attengono al tradizionale repertorio argomentativo a cui attinge il giurista, mentre la stessa cosa non si può dire per gli argomenti usati per negare la legittimità della diagnosi. Talune tipologie di argomenti utilizzate per negare la legittimità della diagnosi preimpianto costituiscono delle fallacie logiche, per esempio l’argomento del pendio scivoloso, e soprattutto le tipologie degli argomenti utilizzati per sostenere la legittimità della diagnosi preimpianto sono per lo più caratterizzate dalla ragionevolezza ed applicate per lo più opportunamente. Poi, si può osservare che: determinati argomenti, associati dal giurista-interprete ai principi i quali depongono per l’illegittimità della diagnosi preimpianto, facendo leva sulla categoria della possibilità, ed equiparando attualità e possibilità, privilegiano l’immaginazione alla realtà e portano a risultati interpretativi non razionalmente fondati; mentre gli argomenti associati dal giurista-interprete ai principi i quali depongono per la legittimità della diagnosi preimpianto, facendo leva sulla categoria della attualità, e tenendo ben distinte attualità e possibilità, privilegiano l’osservazione della realtà e portano a risultati razionalmente fondati.

L'idea di metafora nell'opera di Oswald Mathias Ungers

This research focuses on the definition of the complex relationship that exists between theory and project, which - in the architectural work by Oswald Mathias Ungers - is based on several essays and on the publications that - though they have never been collected in an organic text - make up an articulated corpus, so that it is possible to consider it as the foundations of a theory. More specifically, this thesis deals with the role of metaphor in Unger’s theory and its subsequent practical application to his projects. The path leading from theoretical analysis to architectural project is in Ungers’ view a slow and mediated path, where theory is an instrument without which it would not be possible to create the project's foundations. The metaphor is a figure of speech taken from disciplines such as philosophy, aesthetics, linguistics. Using a metaphor implies a transfer of meaning, as it is essentially based on the replacement of a real object with a figurative one. The research is articulated in three parts, each of them corresponding to a text by Ungers that is considered as crucial to understand the development of his architectural thinking. Each text marks three decades of Ungers’ work: the sixties, seventies and eighties. The first part of the research deals with the topic of Großform expressed by Ungers in his publication of 1966 Grossformen im Wohnungsbau, where he defines four criteria based on which architecture identifies with a Großform. One of the hypothesis underlying this study is that there is a relationship between the notion of Großform and the figure of metaphor. The second part of the thesis analyzes the time between the end of the sixties and the seventies, i.e. the time during which Ungers lived in the USA and taught at the Cornell University of Ithaca. The analysis focuses on the text Entwerfen und Denken in Vorstellungen, Metaphern und Analogien, written by Ungers in 1976, for the exhibition MAN transFORMS organized in the Cooper - Hewitt Museum in New York. This text, through which Ungers creates a sort of vocabulary to explain the notions of metaphor, analogy, signs, symbols and allegories, can be defined as the Manifesto of his architectural theory, the latter being strictly intertwined with the metaphor as a design instrument and which is best expressed when he introduces the 11 thesis with P. Koolhaas, P. Riemann, H. Kollhoff and A. Ovaska in Die Stadt in der Stadt in 1977. Berlin das grüne Stadtarchipel. The third part analyzes the indissoluble tie between the use of metaphor and the choice of the topic on which the project is based and, starting from Ungers’ publication in 1982 Architecture as theme, the relationship between idea/theme and image/metaphor is explained. Playing with shapes requires metaphoric thinking, i.e. taking references to create new ideas from the world of shapes and not just from architecture. The metaphor as a tool to interpret reality becomes for Ungers an inquiry method that precedes a project and makes it possible to define the theme on which the project will be based. In Ungers’ case, the architecture of ideas matches the idea of architecture; for Ungers the notions of idea and theme, image and metaphor cannot be separated from each other, the text on thematization of architecture is not a report of his projects, but it represents the need to put them in order and highlight the theme on which they are based.

Geometric and Combinatorial Aspects of NonEquilibrium Statistical Mechanics

Non-Equilibrium Statistical Mechanics is a broad subject. Grossly speaking, it deals with systems which have not yet relaxed to an equilibrium state, or else with systems which are in a steady non-equilibrium state, or with more general situations. They are characterized by external forcing and internal fluxes, resulting in a net production of entropy which quantifies dissipation and the extent by which, by the Second Law of Thermodynamics, time-reversal invariance is broken. In this thesis we discuss some of the mathematical structures involved with generic discrete-state-space non-equilibrium systems, that we depict with networks in all analogous to electrical networks. We define suitable observables and derive their linear regime relationships, we discuss a duality between external and internal observables that reverses the role of the system and of the environment, we show that network observables serve as constraints for a derivation of the minimum entropy production principle. We dwell on deep combinatorial aspects regarding linear response determinants, which are related to spanning tree polynomials in graph theory, and we give a geometrical interpretation of observables in terms of Wilson loops of a connection and gauge degrees of freedom. We specialize the formalism to continuous-time Markov chains, we give a physical interpretation for observables in terms of locally detailed balanced rates, we prove many variants of the fluctuation theorem, and show that a well-known expression for the entropy production due to Schnakenberg descends from considerations of gauge invariance, where the gauge symmetry is related to the freedom in the choice of a prior probability distribution. As an additional topic of geometrical flavor related to continuous-time Markov chains, we discuss the Fisher-Rao geometry of nonequilibrium decay modes, showing that the Fisher matrix contains information about many aspects of non-equilibrium behavior, including non-equilibrium phase transitions and superposition of modes. We establish a sort of statistical equivalence principle and discuss the behavior of the Fisher matrix under time-reversal. To conclude, we propose that geometry and combinatorics might greatly increase our understanding of nonequilibrium phenomena.

Constraints meet concurrency

We investigate the benefits that emerge when the fields of constraint programming and concurrency meet. On one hand, constraints can be use in concurrency theory to increase the conciseness and the expressive power of concurrent languages from a pragmatic point of view. On the other hand, problems modeled by using constraints can be solved faster and more efficiently using a concurrent system. We explore both directions providing two separate lines of contribution. Firstly we study the expressive power of a concurrent language, namely Constraint Handling Rules, that supports constraints as a primitive construct. We show what features of this language make it Turing powerful. Then we propose a framework to solve constraint problems that is intended to be deployed on a concurrent system. For the development of this framework we used the concurrent language Jolie following the Service Oriented paradigm. Based on this experience, we also propose an extension to Service Oriented Languages to overcome some of their limitations and to improve the development of concurrent applications.

Modificazioni soggettive del rapporto obbligatorio e garanzie reali

Lo studio del lato soggettivo del rapporto è centrale nella teoria dell’obbligazione. Ci si chiede se la modificazione di una o anche di entrambe le parti del rapporto determini sempre la sua estinzione o se, invece, si conservi la sua unitarietà oggettiva. La risposta a questo interrogativo è stata diversa a seconda delle diverse epoche storiche. Nel diritto romano si riteneva che la variazione di qualunque soggetto determinasse l’estinzione del rapporto e la costituzione di una nuova obbligazione (novazione soggettiva). Tale soluzione è stata osteggiata dai codificatori moderni per i quali, in caso di modifica delle personae non si ha estinzione del rapporto, ma solo il mutamento di uno dei suoi elementi. Quanto ai diritti di garanzia, in particolare l’ipoteca, i principi generali essenzali sono la specialità e l’accessorietà. Quest’ultima caratteristica è dirimente in caso di modificazione soggettiva del rapporto e ciò emerge in sede di trattazione delle singole fattispecie del Codice Civile che la determinano, sia quanto al creditore sia quanto al debitore. Per velocizzare il subentro nel credito, nel 2007 è stato approvato il decreto Bersani (sulla portabilità del mutuo) che ha consentito di rimuovere vincoli a tale circolazione, nell’ambito dei rapporti bancari. Le caratteristiche della modificazione del rapporto obbligatorio, tuttavia, possono minare l’efficacia della riforma Bersani. Questo è il motivo per il quale taluni studiosi ritengono necessario procedere a un’ampia rivisitazione dell’intero diritto ipotecario, eliminando, sulla scia di quanto accaduto in altri ordinamenti europei, il requisito dell’accessorietà del vincolo. Nonostante ciò, a causa dei rischi connessi a questa riforma, si ritiene preferibile affinare il meccanismo di perfezionamento della portabilità, eliminandone le criticità, senza però pregiudicare le sicurezze dell’attuale sistema giuridico, di cui l’accessorietà dell’ipoteca rispetto al credito costituisce un importante caposaldo.