A moment symbolic representation of Lévy processes with applications

By using a symbolic method, known in the literature as the classical umbral calculus, a symbolic representation of Lévy processes is given and a new family of time-space harmonic polynomials with respect to such processes, which includes and generalizes the exponential complete Bell polynomials, is introduced. The usefulness of time-space harmonic polynomials with respect to Lévy processes is that it is a martingale the stochastic process obtained by replacing the indeterminate x of the polynomials with a Lévy process, whereas the Lévy process does not necessarily have this property. Therefore to find such polynomials could be particularly meaningful for applications. This new family includes Hermite polynomials, time-space harmonic with respect to Brownian motion, Poisson-Charlier polynomials with respect to Poisson processes, Laguerre and actuarial polynomials with respect to Gamma processes , Meixner polynomials of the first kind with respect to Pascal processes, Euler, Bernoulli, Krawtchuk, and pseudo-Narumi polynomials with respect to suitable random walks. The role played by cumulants is stressed and brought to the light, either in the symbolic representation of Lévy processes and their infinite divisibility property, either in the generalization, via umbral Kailath-Segall formula, of the well-known formulae giving elementary symmetric polynomials in terms of power sum symmetric polynomials. The expression of the family of time-space harmonic polynomials here introduced has some connections with the so-called moment representation of various families of multivariate polynomials. Such moment representation has been studied here for the first time in connection with the time-space harmonic property with respect to suitable symbolic multivariate Lévy processes. In particular, multivariate Hermite polynomials and their properties have been studied in connection with a symbolic version of the multivariate Brownian motion, while multivariate Bernoulli and Euler polynomials are represented as powers of multivariate polynomials which are time-space harmonic with respect to suitable multivariate Lévy processes.

The spatial representation of time

Numerosi studi mostrano che gli intervalli temporali sono rappresentati attraverso un codice spaziale che si estende da sinistra verso destra, dove gli intervalli brevi sono rappresentati a sinistra rispetto a quelli lunghi. Inoltre tale disposizione spaziale del tempo può essere influenzata dalla manipolazione dell’attenzione-spaziale. La presente tesi si inserisce nel dibattito attuale sulla relazione tra rappresentazione spaziale del tempo e attenzione-spaziale attraverso l’uso di una tecnica che modula l’attenzione-spaziale, ovvero, l’Adattamento Prismatico (AP). La prima parte è dedicata ai meccanismi sottostanti tale relazione. Abbiamo mostrato che spostando l’attenzione-spaziale con AP, verso un lato dello spazio, si ottiene una distorsione della rappresentazione di intervalli temporali, in accordo con il lato dello spostamento attenzionale. Questo avviene sia con stimoli visivi, sia con stimoli uditivi, nonostante la modalità uditiva non sia direttamente coinvolta nella procedura visuo-motoria di AP. Questo risultato ci ha suggerito che il codice spaziale utilizzato per rappresentare il tempo, è un meccanismo centrale che viene influenzato ad alti livelli della cognizione spaziale. La tesi prosegue con l’indagine delle aree corticali che mediano l’interazione spazio-tempo, attraverso metodi neuropsicologici, neurofisiologici e di neuroimmagine. In particolare abbiamo evidenziato che, le aree localizzate nell’emisfero destro, sono cruciali per l’elaborazione del tempo, mentre le aree localizzate nell’emisfero sinistro sono cruciali ai fini della procedura di AP e affinché AP abbia effetto sugli intervalli temporali. Infine, la tesi, è dedicata allo studio dei disturbi della rappresentazione spaziale del tempo. I risultati ci indicano che un deficit di attenzione-spaziale, dopo danno emisferico destro, provoca un deficit di rappresentazione spaziale del tempo, che si riflette negativamente sulla vita quotidiana dei pazienti. Particolarmente interessanti sono i risultati ottenuti mediante AP. Un trattamento con AP, efficace nel ridurre il deficit di attenzione-spaziale, riduce anche il deficit di rappresentazione spaziale del tempo, migliorando la qualità di vita dei pazienti.

On the renormalization flow representation of field theory and some applications

In this thesis we discuss a representation of quantum mechanics and quantum and statistical field theory based on a functional renormalization flow equation for the one-particle-irreducible average effective action, and we employ it to get information on some specific systems.

Sparse Signal Representation of Ultrasonic Signals for Structural Health Monitoring Applications

Assessment of the integrity of structural components is of great importance for aerospace systems, land and marine transportation, civil infrastructures and other biological and mechanical applications. Guided waves (GWs) based inspections are an attractive mean for structural health monitoring. In this thesis, the study and development of techniques for GW ultrasound signal analysis and compression in the context of non-destructive testing of structures will be presented. In guided wave inspections, it is necessary to address the problem of the dispersion compensation. A signal processing approach based on frequency warping was adopted. Such operator maps the frequencies axis through a function derived by the group velocity of the test material and it is used to remove the dependence on the travelled distance from the acquired signals. Such processing strategy was fruitfully applied for impact location and damage localization tasks in composite and aluminum panels. It has been shown that, basing on this processing tool, low power embedded system for GW structural monitoring can be implemented. Finally, a new procedure based on Compressive Sensing has been developed and applied for data reduction. Such procedure has also a beneficial effect in enhancing the accuracy of structural defects localization. This algorithm uses the convolutive model of the propagation of ultrasonic guided waves which takes advantage of a sparse signal representation in the warped frequency domain. The recovery from the compressed samples is based on an alternating minimization procedure which achieves both an accurate reconstruction of the ultrasonic signal and a precise estimation of waves time of flight. Such information is used to feed hyperbolic or elliptic localization procedures, for accurate impact or damage localization.

Advanced representation of the ocean/sea ice dynamics at high latitudes

Sea ice is a fundamental element of global climate system, with numerous impacts on the polar environment. The ongoing drastic changes in the Earth’s sea ice cover highlight the necessity of monitoring the polar regions and systematically evaluating the quality of different numerical products. The main objective of this thesis is to improve our knowledge of the representation of Arctic and Antarctic sea ice using comprehensive global ocean reanalyses and coupled climate models. The dissertation will explore (i) the Antarctic marginal ice zone (MIZ) and pack ice area in the ensemble mean of four global ocean reanalyses called GREP; (ii) historical representation of the Arctic and Antarctic sea ice state in HighResMIP models; (iii) the future evolution of Arctic sea ice in HighResMIP models. Global ocean reanalyses and GREP are found to adequately capture interannual and seasonal variability in both pack ice and MIZ areas at hemispheric and regional scales. The advantage of the ensemble-mean approach is proved as GREP smooths the strengths and weaknesses of single systems and provides the most consistent and reliable estimates. This work is intended to encourage the use of GREP in a wide range of applications. The analysis of sea ice representation in the coupled climate models shows no systematic impact of the increased horizontal resolution. We argue that a few minor improvements in sea ice representation with the enhanced horizontal resolution are presumably not worth the major effort of costly computations. The thesis highlights the critical importance to distinguish the MIZ from consolidated pack ice both for investigating changes in sea ice distribution and evaluating the product’s performance. Considering that the MIZ is predicted to dominate the Arctic sea ice cover, the model physics parameterizations and sea ice rheology might require modifications. The results of the work can be useful for modelling community.

Traces de terre, traces d'encre... La rappresentazione dello spazio nella letteratura caraibica. (Francofona e Anglofona)

This study concerns the representation of space in Caribbean literature, both francophone and Anglophone and, in particular, but not only, in the martinican literature, in the works of the authors born in the island. The analysis focus on the second half of the last century, a period in which the martinican production of novels and romances increased considerably, and where the representation and the rule of space had a relevant place. So, the thesis explores the literary modalities of this representation. The work is constituted of 5 chapters and the critical and methodological approaches are both of an analytical and comparative type. The first chapter “The caribbean space: geography, history and society” presents the geographic context, through an analysis of the historical and political major events occurred in the Caribbean archipelago, in particular of the French Antilles, from the first colonization until the départementalisation. The first paragraph “The colonized space: historical-political excursus” the explores the history of the European colonization that marked forever the theatre of the relationship between Europe, Africa and the New World. This social situation take a long and complex process of “Re-appropriation and renegotiation of the space”, (second paragraph) always the space of the Other, that interest both the Antillean society and the writers’ universe. So, a series of questions take place in the third paragraph “Landscape and identity”: what is the function of space in the process of identity construction? What are the literary forms and representations of space in the Caribbean context? Could the writing be a tool of cultural identity definition, both individual and collective? The second chapter “The literary representation of the Antillean space” is a methodological analysis of the notions of literary space and descriptive gender. The first paragraph “The literary space of and in the novel” is an excursus of the theory of such critics like Blanchot, Bachelard, Genette and Greimas, and in particular the recent innovation of the 20th century; the second one “Space of the Antilles, space of the writing” is an attempt to apply this theory to the Antillean literary space. Finally the last paragraph “Signs on the page: the symbolic places of the antillean novel landscape” presents an inventory of the most recurrent antillean places (mornes, ravines, traces, cachots, En-ville,…), symbols of the history and the past, described in literary works, but according to new modalities of representation. The third chapter, the core of the thesis, “Re-drawing the map of the French Antilles” focused the study of space representation on francophone literature, in particular on a selected works of four martinican writers, like Roland Brival, Édouard Glissant, Patrick Chamoiseau and Raphaël Confiant. Through this section, a spatial evolution comes out step by step, from the first to the second paragraph, whose titles are linked together “The novel space evolution: from the forest of the morne… to the jungle of the ville”. The virgin and uncontaminated space of the Antilles, prior to the colonisation, where the Indios lived in harmony with the nature, find a representation in both works of Brival (Le sang du roucou, Le dernier des Aloukous) and of Glissant (Le Quatrième siècle, Ormerod). The arrival of the European colonizer brings a violent and sudden metamorphosis of the originary space and landscape, together with the traditions and culture of the Caraïbes population. These radical changes are visible in the works of Chamoiseau (Chronique des sept misères, Texaco, L’esclave vieil homme et le molosse, Livret des villes du deuxième monde, Un dimanche au cachot) and Confiant (Le Nègre et l’Amiral, Eau de Café, Ravines du devant-jour, Nègre marron) that explore the urban space of the creole En-ville. The fourth chapter represents the “2nd step: the Anglophone novel space” in the exploration of literary representation of space, through an analytical study of the works of three Anglophone writers, the 19th century Lafcadio Hearn (A Midsummer Trip To the West Indies, Two Years in the French West Indies, Youma) and the contemporary authors Derek Walcott (Omeros, Map of the New World, What the Twilight says) and Edward Kamau Brathwaite (The Arrivants: A New World Trilogy). The Anglophone voice of the Caribbean archipelago brings a very interesting contribution to the critical idea of a spatial evolution in the literary representation of space, started with francophone production: “The spatial evolution goes on: from the Martiniques Sketches of Hearn… to the modern bards of Caribbean archipelago” is the new linked title of the two paragraphs. The fifth chapter “Extended look, space shared: the Caribbean archipelago” is a comparative analysis of the results achieved in the prior sections, through a dialogue between all the texts in the first paragraph “Francophone and Anglophone representation of space compared: differences and analogies”. The last paragraph instead is an attempt of re-negotiate the conventional notions of space and place, from a geographical and physical meaning, to the new concept of “commonplace”, not synonym of prejudice, but “common place” of sharing and dialogue. The question sets in the last paragraph “The “commonplaces” of the physical and mental map of the Caribbean archipelago: toward a non-place?” contains the critical idea of the entire thesis.

Strutture archetipiche della Modernità: l'emersione della Grande Madre nel Modernismo ispano-americano

La ricerca verte sull'osservazione di alcune specifiche dinamiche archetipiche rilevabili all’interno dell'inconscio collettivo di fine Ottocento e della profonda influenza che queste ebbero tanto sulla cultura e sulla società ispano-americana del tempo, quanto sulla specifica corrente letteraria modernista. L’archetipo di cui si analizza la riemersione letteraria è quello della Grande Madre, come teorizzato da C. G. Jung e perfezionato con i successivi studi di Erich Neumann. Avvalendosi, in particolare, delle riflessioni di quest'ultimo e spaziando fino ad includere contributi psicoanalitici e studi simbolici successivi (in particolare quelli di James Hillman, Gaston Bachelard e Gilbert Durand) si evidenzia la dominanza archetipica della Grande Madre all'interno del Modernismo ispano-americano, intesa tanto in senso transpersonale (cioè come rappresentazione dell'inconscio) quanto in senso più specificamente rappresentativo del Femminile. Si applica, infine, il vaglio della critica archetipica alle opere di Delmira Agustini, Alfonsina Storni e Juana de Ibarbourou, dirigendo, in particolar modo, l'analisi alla rappresentazione letteraria degli aspetti di questo archetipo identificati come ‘negativi’, e, quindi, più duramente sottoposti a rimozione nel corso dei secoli.

Raccontare, resistere. La denuncia tra novela negra e testimonio. Affinita' e differenze in tre scrittori ispanoamericani: Serna, Walsh e Bolaño.

La tesi è incentrata sui recenti sviluppi della narrativa testimoniale dell’America Latina. Verranno presi in considerazione gli ultimi contributi critici dedicati al rapporto tra finzione e realtà in letteratura, e sarà dato spazio alla costruzione narrativa della realtà e alla nascita del testimonio, come genere a sé, che raccoglie alcune delle principali opere latinoamericane degli ultimi quaranta anni. Nello specifico, l’indagine riguarderà la rappresentazione letteraria della violenza nella narrativa di denuncia di tre autori ispoanoamericani: la novela negra di Enrique Serna, il poliziesco testimoniale di Rodolfo Walsh e la scrittura estrema di Roberto Bolaño. Obiettivo della ricerca è capire in che modo i tre scrittori hanno raccontato le loro verità alternative, provando a salvaguardare la memoria, e quali effetti hanno ottenuto. Verranno analizzate non solo le tematiche affrontate, facendo riferimento quindi al contesto storico, politico e sociale al quale si rifanno, ma saranno illustrate anche le differenti tecniche di costruzione del romanzo, dell’intreccio e della trama, e verrà isolato il ruolo del testimone (diretto o indiretto) e delle fonti, per cogliere le differenze ma anche le similitudini stilistiche e narrative di ognuna delle opere. Più in generale, dimostreremo come e quanto i testi di questi autori costituiscano in realtà una forte critica al sistema imperante e diano voce alle categorie sociali altrimenti emarginate.

La représentation du pathétique masculin dans le roman sentimental européen: une réflexion sur l'imaginaire littéraire

Ce travail est une analyse de la représentation du pathétique masculin dans le roman dit sentimental dans la deuxième moitié du dix-huitième siècle en Europe, ou plutôt dans les littératures anglaise, française, allemande et italienne. La thèse soutenue est celle de la dérivation du pathétique romanesque de l’âge des Lumières des pratiques de prédication religieuse du siècle précédent et donc de la valeur normative du roman sentimental à ses débuts : celui-ci aurait relayé le rôle des manuels de conduite des siècles précédents et se serait posé comme un répertoire d’exempla comportementaux adaptés aux différentes situations de la vie. Nous avons suivi les évolutions historiques du genre à travers l’analyse thématique du motif des larmes masculines. Pour ce faire, nous avons examiné la complexe proxémique de représentation de l’émotion et la diégèse qui en résulte, qui peut être nuancée, selon une terminologie récente, en pathétique attendrissant, sentimental et spectaculaire. Cela a entraîne la prise en compte de diverses formes artistiques, de la peinture au théâtre. La méthodologie utilisé conjugue l’histoire des idées et l’étude des formes de l’imaginaire, le pathétique appartenant au domaine de la philosophie autant qu’à celui de la représentation artistique : le concept glisse au dix-huitième siècle du champ rhétorique et stylistique à une dimension esthétique et anthropologique. Le travail a donc été divisé en trois grandes parties qui analysent les trois dimensions anthropologiques fondamentales : l’imaginaire religieux et l’héritage des anciens, c’est–à-dire le rapport que l’époque établit avec la tradition culturelle qui la précède ; l’imaginaire amoureux, qui se concentre sur les rapports entre les deux sexes et sur la « féminisation » du héros romanesque sentimental ; l’imaginaire familial, qui aborde les conséquences de ce changement dans la représentation de la masculinité au sein de la représentation de la famille et des rapports intergénérationnels.

Interpreting Judgements using Knowledge Representation Methods and Computational Models of Argument

The goal of the present research is to define a Semantic Web framework for precedent modelling, by using knowledge extracted from text, metadata, and rules, while maintaining a strong text-to-knowledge morphism between legal text and legal concepts, in order to fill the gap between legal document and its semantics. The framework is composed of four different models that make use of standard languages from the Semantic Web stack of technologies: a document metadata structure, modelling the main parts of a judgement, and creating a bridge between a text and its semantic annotations of legal concepts; a legal core ontology, modelling abstract legal concepts and institutions contained in a rule of law; a legal domain ontology, modelling the main legal concepts in a specific domain concerned by case-law; an argumentation system, modelling the structure of argumentation. The input to the framework includes metadata associated with judicial concepts, and an ontology library representing the structure of case-law. The research relies on the previous efforts of the community in the field of legal knowledge representation and rule interchange for applications in the legal domain, in order to apply the theory to a set of real legal documents, stressing the OWL axioms definitions as much as possible in order to enable them to provide a semantically powerful representation of the legal document and a solid ground for an argumentation system using a defeasible subset of predicate logics. It appears that some new features of OWL2 unlock useful reasoning features for legal knowledge, especially if combined with defeasible rules and argumentation schemes. The main task is thus to formalize legal concepts and argumentation patterns contained in a judgement, with the following requirement: to check, validate and reuse the discourse of a judge - and the argumentation he produces - as expressed by the judicial text.

The Legacy of Frankenstein’s Creature: Monstrosity and Female Grotesque in Mary Shelley, Angela Carter and Jeanette Winterson

This English Literature thesis (European PhD EDGES – Women’s and Gender Studies – 34th cycle) is an investigation into the representation of the monstrous body according to the British writers Mary Shelley, Angela Carter and Jeanette Winterson. The main objective is to observe how the representation of the categories of monstrous, abject and grotesque in Western cultural imagination have been influenced across time and literary genres. In the novels of Shelley, Carter and Winterson, the monstrous subject is configured as an alternative to the anthropocentric ideal embodied by the normative subject, of which Victor Frankenstein is the paradigmatic exponent. Plus, there are places considered anti-topoi within which the monster acquires a situatedness and claims a voice, generating an opposed counter-narrative to the imaginary conveyed by the normative subject. Monstrosity outlined by Shelley in the novels Frankenstein and The Last Man constitutes the starting point of my research, aiming to observe how the discourse of the normative body vs. the anti-normative body intersects with the discourse of the spaces of the centre vs. the spaces of the margin. In Carter's novels The Passion of New Eve and Nights at the Circus, the monstrous female constitutes the embodiment of wills, desires and claims challenging the heteronormative system. The space of otherness in which Carter's monster-woman is confined becomes a possibility of reshaping identity for the Subject, deconstructing the logic of power that moulded her within society. Finally, Winterson creates two monstrous women in Sexing the Cherry and The Passion who move through urban spaces, going from the centre to the margins and testifying to the arbitrariness of the system and its weaknesses. Similarly, in Frankissstein, Winterson recovers Shelley's original novel and transforms it into a parodic and intertextual speculation on the fluidity of identity and the limits of transhumanism.