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.

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.

Plasticity in body and peripersonal space representations

A successful interaction with objects in the environment requires integrating information concerning object-location with the shape, dimension and position of body parts in space. The former information is coded in a multisensory representation of the space around the body, i.e. peripersonal space (PPS), whereas the latter is enabled by an online, constantly updated, action-orientated multisensory representation of the body (BR) that is critical for action. One of the critical features of these representations is that both PPS and BR are not fixed, but they dynamically change depending on different types of experience. In a series of experiment, I studied plastic properties of PPS and BR in humans. I have developed a series of methods to measure the boundaries of PPS representation (Chapter 4), to study its neural correlates (Chapter 3) and to assess BRs. These tasks have been used to study changes in PPS and BR following tool-use (Chapter 5), multisensory stimulation (Chapter 6), amputation and prosthesis implantation (Chapter 7) or social interaction (Chapter 8). I found that changes in the function (tool-use) and the structure (amputation and prosthesis implantation) of the physical body elongate or shrink both PPS and BR. Social context and social interaction also shape PPS representation. Such high degree of plasticity suggests that our sense of body in space is not given at once, but it is constantly constructed and adapted through experience.

Coding of reaching in 3-D space

Many psychophysical studies suggest that target depth and direction during reaches are processed independently, but the neurophysiological support to this view is so far limited. Here, we investigated the representation of reach depth and direction by single neurons in an area of the medial posterior parietal cortex (V6A). Single-unit activity was recorded from V6A in two Macaca fascicularis monkeys performing a fixation-to-reach task to targets at different depths and directions. We found that in a substantial percentage of V6A neurons depth and direction signals jointly influenced fixation, planning and arm movement-related activity in 3D space. While target depth and direction were equally encoded during fixation, depth tuning became stronger during arm movement planning, execution and target holding. The spatial tuning of fixation activity was often maintained across epochs, and this occurred more frequently in depth. These findings support for the first time the existence of a common neural substrate for the encoding of target depth and direction during reaching movements in the posterior parietal cortex. Present results also highlight the presence in V6A of several types of cells that process independently or jointly eye position and arm movement planning and execution signals in order to control reaches in 3D space. It is possible that depth and direction influence also the metrics of the reach action and that this effect on the reach kinematic variables can account for the spatial tuning we found in V6A neural activity. For this reason, we recorded and analyzed behavioral data when one monkey performed reaching movements in 3-D space. We evaluated how the target spatial position, in particular target depth and target direction, affected the kinematic parameters and trajectories describing the motor action properties.