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 26 for “"Tilings"”.
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Tilings and other combinatorial results
… and sparse Ramsey theory. We first consider tilings of $\mathbb{Z}^n$. In this setting a tile $T$ is just a finite subset of $\mathbb{Z}^n$. We say that $T$ tiles $\mathbb{Z}^n$ if the latter set admits a partition into isometric copies of $T$. Chalcraft observed that there exist $T$ that do …
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(Visible) Tilings of Squares and Hypercubes
… unit square.Here we consider various classes of tilings , this is, packings where there is no empty space inside the unit square. Several types of questions will be explored here. Various construction techniques are introduced, especially methods of generating tilings from tilings with fewer …
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Geometric and algebraic properties of polyomino tilings
In this thesis we study tilings of regions on the square grid by polyominoes. A polyomino is any connected shape formed from a union of grid cells, and a tiling of a region is a collection of polyominoes lying in the region such that each square is covered exactly once. In particular, we focus on …
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FROM TILINGS AND MASTER EQUATIONS TO MICROKINETIC MODELS
Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2025-10-20 without embargo terms
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Random tilings : gap probabilities, local and global asymptotics
… of random tiling models. First, we consider tilings of a hexagon by rombi, viewed as 3D random stepped surfaces with a measure proportional to q-volume. Such model is closely related to q-Hahn orthogonal polynomial ensembles, and we use this connection to obtain results about the local …
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Discrete Riemann Maps and the Parabolicity of Tilings
… Floyd, Parry, and others, describes finite tilings of quadrilaterals and annuli. It relates to several combinatorial moduli, similar in nature to the classical modulus. The first chapter surveys some of these discrete analogues. The next chapter considers appropriate extensions to infinite …
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An analysis of surface area estimates of binary volumes under three tilings
Thesis (M.S.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 1997.
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Branes, graphs and singularities
… non-compact geometries. We introduce "brane tilings" which efficiently encode the gauge group, matter content and superpotential of various quiver gauge theories that arise as low-energy effective theories for D-branes probing singular non-compact Calabi-Yau spaces with toric symmetries. …
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The combinatorics of reduced decompositions
… graph of the classes, the zonotopal tilings of a particular polygon, and a poset defined in terms of these tilings. The class of freely braided permutations behaves particularly well, and its graphs and posets are explicitly determined. The Bruhat order for the symmetric group is …
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Fractal and Statistical Phenomena in Aperiodic Order
… of computing patch frequencies. For dualisation tilings, we describe an algorithm which allows the exact computation of frequencies of patches with an arbitrary number of tiles. <br /><br /> Next, we employ some geometric and combinatorial techniques and extend the known results about pair …
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Duality and dynamics of supersymmetric field theories from D-branes on singularities
… new Type IIB brane constructions denoted brane tilings which are dual to D3-branes probing arbitrary toric singularities. Brane tilings encode both the quiver and superpotential of the gauge theories on the D-brane probes. They give a connection with the statistical model of dimers.
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The topology of Baues complexes and flip graphs
… include the triangulations of a polytope, the tilings of a zonotope, and the extensions of an oriented matroid. Some long-standing conjectures are resolved, including the connectedness of triangulations of a product of two simplices and the sphericity of extension spaces of realizable oriented …
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Effiziente parallele Implementierung eines expliziten Euler-Verfahrens für Grafikprozessoren durch Diamant-Tiling
… Vorteile des linearen Verfahrens und des Diamant-Tilings vereint, führt daher zu den besten Laufzeiten.
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Weyl Pseudodifferential Calculus and the Heisenberg Group in New Settings
… LC groups proceeds via the tools of fractal tilings. After a review of these concepts we prove the key results required to obtain a "good" Haar basis, namely that the boundary of the relevant tilings is of measure $0$. We explain how the constructed Haar bases can be used to study Fourier …
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The Study of Translation Equivalence on Integer Lattices
… sets are used to develop several invariant tilings of the equivalence classes of specific variables . Some properties that are equivalent to hyperfiniteness in the certain space are also developed. Lastly, we will give the new result that there is a continuous injective embedding from …
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The soft grid
… pixelations, distorted grids and Danzer tilings in student and conceptual work. However, the built scale of such projects is rarely beyond installation largely because of the difficulty in managing spatial organizations that are not essentially Cartesian. Th is thesis will lay the …
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Patterns of Optimal Structural Layouts
… diagram is presented, and certain Euclidean tilings are presented as optimal beam layouts.
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Random geometry in two and three dimensions
… we prove a large deviation principle for dimer tilings in three dimensions. This generalizes a two-dimensional result of Cohn, Kenyon, and Propp, and is one of the first results for dimers in any dimension d > 2. Many ideas and constructions used to study dimers are specific to two dimensions, …
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Pattern-avoidance in binary fillings of grid shapes
… gives rise to some new combinatorics on tilings of skew Young shapes with rectangles, which we name Popeye diagrams. In a special case, they are exactly Hugh Thomas's snug partitions for d = 2. We show that Popeye diagrams are a lattice, and, moreover, each diagram is a sublattice of the …
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Designing visually rich mathmatical investing tools for repetitive geometric artifacts
… such as polytopes (polyhedra of any dimension), tilings, and crystal lattices, with investigation tools was directed by the combination of their potential for simple algorithmic description and their highly visual nature. There are a number of results that precipitated from the process of design …
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