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1091	Feigenbaum Scaling Sendrowski, Janek January 2020 (has links) In this thesis I hope to provide a clear and concise introduction to Feigenbaum scaling accessible to undergraduate students. This is accompanied by a description of how to obtain numerical results by various means. A more intricate approach drawing from renormalization theory as well as a short consideration of some of the topological properties will also be presented. I was furthermore trying to put great emphasis on diagrams throughout the text to make the contents more comprehensible and intuitive. Feigenbaum Feigenbaum constant Feigenbaum point superstable self-similarity fractals final-state diagram logistic map period-doubling operator linearized period-doubling operator Cantor set Sharkovsky sequence Chebyshev interpolation stable manifold unstable manifold orbits fixed points scaling factor pitchfork bifurcation cobweb plot renormalization iterates one-hump map unimodal map bifurcation cascade Feigenbaum universality chaos theory spectrum generalized Feigenvalues bifurcation points superstable points fixed function universal function eigenvalues eigenvectors eigenfunctions universality conditions Schwarzian derivative Newton’s method power method Arnoldi’s method attractive fixed point repellent fixed point Banach fixed-point theorem collocation method functional analysis topology Mathematical Analysis Matematisk analys Other Mathematics Annan matematik Computational Mathematics Beräkningsmatematik
1092	"Minds will grow perplexed": The Labyrinthine Short Fiction of Steven Millhauser Andrews, Chad Michael 25 February 2014 (has links) Indiana University-Purdue University Indianapolis (IUPUI) / Steven Millhauser has been recognized for his abilities as both a novelist and a writer of short fiction. Yet, he has evaded definitive categorization because his fiction does not fit into any one category. Millhauser’s fiction has defied clean categorization specifically because of his regular oscillation between the modes of realism and fantasy. Much of Millhauser’s short fiction contains images of labyrinths: wandering narratives that appear to split off or come to a dead end, massive structures of branching, winding paths and complex mysteries that are as deep and impenetrable as the labyrinth itself. This project aims to specifically explore the presence of labyrinthine elements throughout Steven Millhauser’s short fiction. Millhauser’s labyrinths are either described spatially and/or suggested in his narrative form; they are, in other words, spatial and/or discursive. Millhauser’s spatial labyrinths (which I refer to as ‘architecture’ stories) involve the lengthy description of some immense or underground structure. The structures are fantastic in their size and often seem infinite in scale. These labyrinths are quite literal. Millhauser’s discursive labyrinths demonstrate the labyrinthine primarily through a forking, branching and repetitive narrative form. Millhauser’s use of the labyrinth is at once the same and different than preceding generations of short fiction. Postmodern short fiction in the 1960’s and 70’s used labyrinthine elements to draw the reader’s attention to the story’s textuality. Millhauser, too, writes in the experimental/fantastic mode, but to different ends. The devices of metafiction and realism are employed in his short fiction as agents of investigating and expressing two competing visions of reality. Using the ‘tricks’ and techniques of postmodern metafiction in tandem with realistic detail, Steven Millhauser’s labyrinthine fiction adjusts and reapplies the experimental short story to new ends: real-world applications and thematic expression. Steven Millhauser Labyrinth Maze Foucault Postmodern Short Fiction Short Story Architecture Realism Fabulism Daedalus Minotaur Heterotopia Metagram Rhizome Arcades Consumerism Desire Chaos Recursion Iteration John Barth Donald Batheleme Hermann Kern Penelope Doob Friedrich Nietzsche Jacques Attali Kristin Veel Gilles Deleuze Félix Guattari Jorge Luis Borges Franz Kafka Robert Coover Robert Rebein Symbolism in literature Short stories, American Fiction -- Technique Fiction -- Authorship Realism in literature Utopias in literature Semiotics and literature Foucault, Michel, 1926-1984 -- Analysis
1093	Field Theoretic Lagrangian From Off-shell Supermultiplet Gauge Quotients Katona, Gregory 01 January 2013 (has links) Recent efforts to classify off-shell representations of supersymmetry without a central charge have focused upon directed, supermultiplet graphs of hypercubic topology known as Adinkras. These encodings of Super Poincare algebras, depict every generator of a chosen supersymmetry as a node-pair transformtion between fermionic bosonic component fields. This research thesis is a culmination of investigating novel diagrammatic sums of gauge-quotients by supersymmetric images of other Adinkras, and the correlated building of field theoretic worldline Lagrangians to accommodate both classical and quantum venues. We find Ref [40], that such gauge quotients do not yield other stand alone or "proper" Adinkras as afore sighted, nor can they be decomposed into supermultiplet sums, but are rather a connected "Adinkraic network". Their iteration, analogous to Weyl's construction for producing all finite-dimensional unitary representations in Lie algebras, sets off chains of algebraic paradigms in discrete-graph and continuous-field variables, the links of which feature distinct, supersymmetric Lagrangian templates. Collectively, these Adiankraic series air new symbolic genera for equation to phase moments in Feynman path integrals. Guided in this light, we proceed by constructing Lagrangians actions for the N = 3 supermultiplet YI /(iDI X) for I = 1, 2, 3, where YI and X are standard, Salam-Strathdee superfields: YI fermionic and X bosonic. The system, bilinear in the component fields exhibits a total of thirteen free parameters, seven of which specify Zeeman-like coupling to external background (magnetic) fluxes. All but special subsets of this parameter space describe aperiodic oscillatory responses, some of which are found to be surprisingly controlled by the golden ratio, [phi] = 1.61803, Ref [52]. It is further determined that these Lagrangians allow an N = 3 - > 4 supersymmetric extension to the Chiral-Chiral and Chiral-twistedChiral multiplet, while a subset admits two inequivalent such extensions. In a natural proiii gression, a continuum of observably and usefully inequivalent, finite-dimensional off-shell representations of worldline N = 4 extended supersymmetry are explored, that are variate from one another but in the value of a tuning parameter, Ref [53]. Their dynamics turns out to be nontrivial already when restricting to just bilinear Lagrangians. In particular, we find a 34-parameter family of bilinear Lagrangians that couple two differently tuned supermultiplets to each other and to external magnetic fluxes, where the explicit parameter dependence is unremovable by any field redefinition and is therefore observable. This offers the evaluation of X-phase sensitive, off-shell path integrals with promising correlations to group product decompositions and to deriving source emergences of higher-order background flux-forms on 2-dimensional manifolds, the stacks of which comprise space-time volumes. Application to nonlinear sigma models would naturally follow, having potential use in M- and F- string theories. Supersymmetry superspace supermultiplet adinkra automata adiankraic tensor product decomposition group theoretic lorentz group su(2) so(3) gauge quotient isomorphism surjective bijective image mapping indefinite adiankraic network sequence super poincare group haag lopuszanski sohnius theorem string theory m theory f theory nonlinear sigma model (numerical) algebraic geometry algebraic paradigms worldsheet worldsheet stacks supersymmetric lagrangians ansatz templates super potentials quantum mechanics field theory fermionic bosonic (super) zeeman background flux fields supergravity superfields young tableaux susy tableaux controlled chaos supercharge continuum chiral chiral twisted chiral Physics
1094	Applications of Complex Network Dynamics in Ultrafast Electronics Charlot, Noeloikeau Falconer 08 September 2022 (has links) No description available. Electromagnetism Engineering Experiments High Temperature Physics Information Science Low Temperature Physics Materials Science Medical Imaging Mathematics Quantum Physics Solid State Physics Physics Scientific Imaging Technology Theoretical Physics Systems Design Nanotechnology Information Systems Electrical Engineering Condensed Matter Physics Applied Mathematics Information Technology Particle Physics Computer Science Computer Engineering Electromagnetics Boolean Network Field Programmable Gate Array Ultrafast Electronics Chaos Computing Dynamical Systems Time to Digital Converter Measurement Fractal Basin Physically Unclonable Function Physical Unclonable Function Hybrid Boolean Network Waveform Capture Device PUF FPGA TDC WCD HBN HBN-PUF

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