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 21 for “"symmetry groups"”.
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A New Approach to Lie Symmetry Groups of Minimal Surfaces
<p>The Lie symmetry groups of minimal surfaces by way of planar harmonic functions are determined. It is shown that a symmetry group acting on the minimal surfaces is isomorphic with H × H^2 — the analytic functions and the harmonic functions. A subgroup of this gives a generalization of the …
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On Connections Between Univalent Harmonic Functions, Symmetry Groups, and Minimal Surfaces
… modeling this constraint, and calculate their symmetry group. The group elements generate transformations that when applied to a prescribed harmonic mapping, lift to locally isometric minimal surfaces with varying graphs embedded in mathbb{R}^3.
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Restrictions on Topological Symmetry Groups of the 3-Rung Möbius Ladder on the Torus
… We present proofs on restrictions of topological symmetry groups of the Möbius ladder with and without the assumption of preserving orientation. Specifically, we show that Z<sub>2</sub> is the only possible non-trivial orientation-preserving topological symmetry groups, and also that Z<sub>2</sub> …
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Localization and Heegaard Floer Homology
… of cyclic branched covers of three-manifolds and symmetry groups of knots by constructing localization spectral sequences in Heegaard Floer homology.
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Sidon Sets and Beatty Sequences
… sets and the use of generating functions and symmetry groups in the analysis of Beatty sequences. This work is available free of charge in PDF and in Postscript format from the author at http://www.math.uiuc.edu/∼obryant.
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String-net condensation and topological phases in quantum spin systems
… years, it was thought that Landau's theory of symmetry breaking could describe essentially all phases and phase transitions. However, in the last twenty years, it has become clear that at zero temperature, quantum mechanics allows for the possibility of new phases of matter beyond the Landau …
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A high-deformation electric soft robotic gripper via handed shearing auxetics
… pneumatic actuation. Through analysis of planar symmetry groups, we add chirality to shearing auxetic patterns, creating materials that expand with a handed bias when pulled in tension. This new metamaterial design enables us to create new structures that have a strong coupling between twisting …
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Convexification and Global Optimization of Problems Involving the Euclidean Norm
… elimination of Euclidean and permutational symmetry groups, as well as the convexification of reverse convex sets defined by the Euclidean norm, as two key challenges for global optimization methods, and introduce a benchmark library of instances of this type. Furthermore, we advance the …
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The Symmetriad : a journey of discovery through the land of the polychora
… objects arise this way. By starting with the symmetry group, I can use the group structure both to simplify the actual graphics involved with displaying the object, and to illustrate various aspects of its structure. For example, subgroups of the symmetry group (and their cosets) correspond to …
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DUALITIES AND EXACT RESULTS IN SUPERSYMMETRIC QFTS
… theories with orthogonal or symplectic gauge groups and monopole superpotential that exhibit s-confinement. These results are checked through the computation of the three-sphere partition function and via confinement/deconfinement procedures. In Part II we study exactly marginal deformations …
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Automatic techniques for detecting and exploiting symmetry in model checking
… Current techniques can handle limited kinds of symmetry, e.g. full symmetry between identical components in a concurrent system. They avoid the problem of automatic symmetry detection by requiring the user to specify the presence of symmetry in a model (explicitly, or by annotating the …
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Rovibrational Dynamics of Nuclei and Molecules
… highly restricted as a consequence of the large symmetry groups of Skyrmions, and we determine them using representation theory. We explore the implications for the Helium-4 nucleus and the Lithium-7/Beryllium-7 isodoublet, comparing our findings with experimental data. We propose a model for the …
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Vortices, Painlevé integrability and projective geometry
… recently proposed by Manton are actually symmetry reductions of (anti-)self-dual Yang-Mills equations with suitable gauge groups and symmetry groups acting as isometries in a 4-manifold. As a consequence, the twistor integrability results of such vortices can be derived. It is presented a …
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Protein Shape Description and its Application to Shape Comparison
… how these descriptors can be applied in symmetry detection and protein-domain clustering. The ability to detect cyclic (C), dihedral (D), tetrahedral (T), octahedral (O) and icosahedral (I) symmetry groups as well as computing all associated symmetry elements has direct applications in …
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TOPOLOGICAL PROPERTIES OF A 3-RUNG MÖBIUS LADDER
… is an orientation preserving topological symmetry group of the 3-rung Möbius ladder with sides and rungs distinct, embedded in the torus.</p>
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Symmetries of the scalar sector of multi-Higgs-doublet models
… are presented in 3HDM, and one particular symmetry, the octahedral symmetry, is studied further. This symmetry seems to be the largest realizable discrete symmetry that can be imposed on the scalar sector in 3HDM, and interestingly results in a 2HDM-like mass spectrum. In the attempt …
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From Homogeneous To Heterogeneous: Statistical 3-D Signal Reconstruction Of Macromolecular Complexes
… Different complexes have different spatial symmetry groups. Most of the work presented in this thesis concerns complexes that are roughly spherical in shape and especially the subset of such complexes which have icosahedral symmetry. The remainder of the work concerns complexes which have …
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Conformal symmetries in special and general relativity.The derivation and interpretation of conformal symmetries and asymptotic conformal symmetries in Minkowski space-time and in some space-times of general relativity.
… expansions. Since the asymptotic conformal symmetry groups of asymptotically flat space-times Are generalisations of the conformal group of Minkowski space-time we devote Chapters 3 and 4 to a study of the flat space case so that the results of later chapters may receive an interpretation in …
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Symmetry and Other Structures: Topics in Nonparametric Regression
… Ψ_f . Functions that satisfy this property have Symmetry: in the same way that we can translate a sparse function along the unimportant axes we can transform f using Ψ_f without effect. Any such f must have level sets [x]_f that contain the sets {ψ(x) ∶ ψ ∈ Ψ_f }, which we can seek to exploit. We …
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C*-algebras of the planar crystal groups and their irreducible *-representations
… C*(G) for each of the seventeen planar crystal groups G. A secondary result is the explicit description of all the irreducible *-representations of these C*-Algebras. Two further applications are described in the concluding paragraph below. The study of generalized representation theory arose …
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