Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 112 for “"higher dimensions"”.
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One-dimensional bosonization approach to higher dimensions
… liquid and an absence of long-range order in one-dimensions. The low-energy description of one-dimensional interacting systems is called the Tomonaga-Luttinger liquid theory. For example, the edges of quantum Hall systems are one-dimensional and described by a chiral Tomonaga-Luttinger liquid. …
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Polynomial partitioning and incidence problems in higher dimensions
Incidence geometry is the study of the intersection patterns of simple geometric objects. One of the breakthroughs in this field is the polynomial partitioning technique introduced by Guth and Katz. In this thesis, I will present two results on incidence problems with high-dimensional objects: an …
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Interpolation of Weighted L2 Holomorphic Functions in Higher Dimensions
This thesis considers an interpolation theorem in the setting of several complex variables. We consider a Kahler manifold X with a metric &ohgr; whose Ricci curvature is non-positive and we assume that X admits a Green's function. In this setup we give a sufficient condition for a closed smooth …
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Aspects of higher dimensional Einstein theory and M-theory
… is Einstein's theory of general relativity in higher dimensions, while the second is M-theory. The first part of the thesis concerns the use of classification techniques based on the Weyl curvature in an attempt to systematically study higher dimensional general relativity and its solutions. …
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Numerical relativity in higher-dimensional space-times
The study of general relativity in higher dimensions has proven to be a fruitful avenue of research, revealing new applications of the theory, for instance in understanding strongly coupled quantum field theories through the holographic principle, and proposing an explanation of the hierarchy …
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Constructing Vision: László Moholy-Nagy's Partiturskizze zu einer mechanischen Exzentrik, Experiments in Higher Spatial Dimensions
… to the pursuit of creating artistic works in higher dimensions. In his artworks and writings, Moholy-Nagy was deeply invested in emerging technologies of the early twentieth century in the service of seeing the world differently, augmenting and training the sensory organs to visualize higher …
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Degenerate elliptic second-order differential operators with bounded complex-valued coefficients
… test functions is a core for these operators. In higher dimensions we provide sufficient conditions ...
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New approaches to higher-dimensional general relativity
… general relativity in more than four spacetime dimensions. Firstly, I review the generalization to higher dimensions of the algebraic classification of the Weyl tensor and the Newman-Penrose formalism. In four dimensions, these techniques have proved useful for studying many aspects of general …
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Chaotic transport by a turnstile mechanism in 4D symplectic maps
… is well understood, much less is known for the higher-dimensional case. A central new feature in higher-dimensional systems are transport phenomena due to resonance channels. In this thesis, we clarify the complex geometry of resonance channels in phase space and identify a turnstile mechanism …
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The Morse index of mean curvature flow self-shrinkers
… also provide a generalization of the result to higher dimensions.
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Application of Hidden Markov Model in Finite Mixture Modeling of High-Dimensional Data
… utilization range. However, as datasets with higher dimensions are becomingincreasingly prevalent due to rapid improvements in computational power and data storagecapabilities, well-known issues such as overparameterization may emerge in the FMM framework, which leads to underestimation of the …
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BESOV WE11-POSEDNESS FOR HIGH DIMENSIONAL NON-LINEAR WAVE EQUATIONS
… with generic quadratic non-linearities in high dimensions. Specifically, we show that non-linear wave equations which can be written as systems involving equations of the form Φ = Φ∇Φ and Φ = |∇Φ|^2 are well-posed with scattering in (6+1) and higher dimensions if the Cauchy data are small in the …
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New examples of four dimensional AS-regular algebras
… classified, but the corresponding problem in higher dimensions remains open. We construct new examples of four dimensional AS-regular algebras, and provide some information about their module structure. Results are provided for proving the regularity of such algebras. In addition we classify …
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Degenerating abelian varieties via log abelian varieties
… construction of log Tate curves from [25, §1] to higher dimensions. The approach involves extensive applications of algebraic spaces and higher-dimensional convex geometry to create diverse models for any given split totally degenerate semi-stable abelian variety over a complete discrete valuation …
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On special Kähler metrics and hypersurfaces
… an important role in 3-dimensional geometry. In higher dimensions, there are special geometric structures, including Ricci-flat Kähler structures on complex manifolds. They are called Calabi-Yau manifolds. Generalizations include Kähler-Ricci soliton structures. In this dissertation, we study …
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Phase transitions in quasiperiodic and driven optical lattices
… time quasicrystals have an intriguing link to higher dimensions, so that a two-dimensional quasicrystal can be used to simulate systems with more than three spatial dimensions. I will describe two experiments performed by our group that use a quasicrystalline optical lattice to explore higher …
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A Conic Quadratic Interior-Point Method for a Class of Stratified Sampling Problems
… first approach works better for problems with higher dimensions.</p>
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Defects, topology, and the geometric phase in condensed matter physics
… code model and its generalizations, both to higher dimensions and richer braiding symmetries. The toric code is naturally associated to the mathematical structure of a chain complex. This leads to a unified treatment of braiding, degeneracy and effective field theory in higher dimensions …
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Regularity of the Bergman Projection on Variants of the Hartogs Triangle
… several complex variables, and generalize it to higher dimensions. We investigate the Lp mapping properties of the weighted Bergman projections on these Hartogs domains. As applications, we obtain the Lp regularity of the twisted-weighted Bergman projections and the weighted Lp Sobolev regularity …
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(Visible) Tilings of Squares and Hypercubes
… square. Furthermore, I generalize this result to higher dimensions for visible tilings.
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