Graduate Theses & Dissertations

Ludic Fictions, Lucid Games
This thesis elucidates the role of play and games—the ludic—in Julio Cortázar’s novel Hopscotch (1966; translation of Rayuela, 1963) through a range of resonant theories. Literary gameplay dominates the formal, linguistic, affective, reflexive, and thematic dimensions of Hopscotch, which are analyzed through concepts borrowed from play theorist Roger Caillois, among others, and literary theorists including Mikhail Bakhtin and Wolfgang Iser, whose ludic theories of fiction begin to map the field of ludic fiction. The analysis positions Hopscotch as an exemplar of the ludic counter-tradition within the novel, a perennial tendency from Don Quixote to postmodernism and beyond. Hopscotch, like other ludic fictions, enacts a complex convergence of the ludic and the lucid. It provokes active reading over passive consumption, diminishes the hegemonic function of serious mimesis to elevate other forms of gameplay, notably chance, competition, vertigo, and enigma, to dominant positions, and ultimately demonstrates a profound affinity between play and critical consciousness. Author Keywords: Bakhtin, Cortazar, Iser, Ludic, Novel, Play
Real-space renormalization group approach to the Anderson model
Many of the most interesting electronic behaviours currently being studied are associated with strong correlations. In addition, many of these materials are disordered either intrinsically or due to doping. Solving interacting systems exactly is extremely computationally expensive, and approximate techniques developed for strongly correlated systems are not easily adapted to include disorder. As a non-interacting disordered model, it makes sense to consider the Anderson model as a first step in developing an approximate method of solution to the interacting and disordered Anderson-Hubbard model. Our renormalization group (RG) approach is modeled on that proposed by Johri and Bhatt [23]. We found an error in their work which we have corrected in our procedure. After testing the execution of the RG, we benchmarked the density of states and inverse participation ratio results against exact diagonalization. Our approach is significantly faster than exact diagonalization and is most accurate in the limit of strong disorder. Author Keywords: disorder, localization, real-space renormalization, strong correlations

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