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 110 for “"topological properties"”.
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TOPOLOGICAL PROPERTIES OF A 3-RUNG MÖBIUS LADDER
<p>In this work, we discuss the properties of the 3-rung Möbius ladder on the torus. We also prove ℤ<sub>2</sub> 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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Detecting topological properties of boundaries of hyperbolic groups
… a finitely presented group can have very nasty properties, but many of these properties are avoided if the group is assumed to admit a nice action by isometries on a space with a negative curvature property, such as Gromov hyperbolicity. Such groups are surprisingly common: there is a sense in …
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On the topological properties of the vibrations of solids
This thesis presents the study of the topological properties in the atomic vibrations in solids. The state-of-the-art quantum mechanical simulation techniques are presented first to accurately describe the band structures of electrons and vibrational spectra of nuclei for topological analysis. Two …
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Quantum simulation beyond periodicity: A theoretical study of the many-body and topological properties of quasiperiodic systems
… structures. As such, they inherit properties from both periodic and disordered materials, and are for instance suspected of hosting novel quantum phases of matter that could evade thermalisation. Solid-state quasicrystalline samples are inherently subject to defects, finite grain …
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Manipulation and analysis of topological properties in hybrid Dirac materials [Manipolazione ed analisi delle proprietà topologiche dei materiali di Dirac]
I materiali topologici presentano fasi quantistiche robuste che non possono essere descritte attraverso i tradizionali meccanismi di rottura di simmetria. Le loro peculiari strutture a bande e gli stati di bordo offrono una piattaforma per proprietà elettroniche e di trasporto altamente …
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Topology of configuration space on trees
… reviewed the existing research results on the topological properties of classic configuration spaces and generalized some of them for the no-k-equal configuration space on trees.
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Decomposition spaces and separation properties
… inheritance by a decomposition space of certain topological properties. Some new topological concepts which are introduced are of independent interest but they are explored here principally for their implications in decomposition spaces.</p> <p>In Chapter II we compare McAuley's definition of an …
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Intertwined symmetry and topology in 3 + 1 dimensional gapped quantum phases of matter
This thesis is an investigation of various topological properties of 3 + 1 dimensional Bosonic gapped phases of matter. We divide our study into two main themes, the first involving short-range entangled phases with global symmetries also known as symmetry protected topological phases and the …
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Dynamic charge densities of amino acids and proteins
… Nevertheless, at temperatures below 100 K, topological properties at BCPs of dynamic electron densities provide at least a semi-quantitative estimate of the topological properties of static electron densities. In contrast to covalent bonds, electron densities at BCPs of hydrogen bonds …
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Weak convergence and the prediction process
… state space. To this end, we need to investigate topological properties of the space of measurable functions which is the paths space of measurable processes. Also a characterization of compact sets in the space is derived and some functionals on the space are discussed.
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Topological semimetals and nodal superconductors
Besides topological band insulators, which have a full bulk gap, there are also gapless phases of matter that belong to the broad class of topological materials, such as topological semimetals and nodal superconductors. We systematically study these gapless topological phases described by the Bloch …
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Characterizing the Dynamics of Vulnerability for Roadway Infrastructure Systems
… roadway network deterioration over time, topological properties of roadways, and travel rate and travel pattern on the dynamics of roadway network vulnerably. First a methodological framework is developed and the method is applied to an illustrative roadway system. The results show that …
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The Use Of Filters In Topology
Sequences are sufficient to describe topological properties in metric spaces or, more generally, topological spaces having a countable base for the topology. However, filters or nets are needed in more abstract spaces. Nets are more natural extension of sequences but are generally less friendly to …
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Stability in dynamical polysystems
… on a basic theory of dynamical polysystems. Some topological properties of limit sets are described in Chapter 2. Chapters 3 and 4 provide characterizations for various notions of strong stability. Chapter 5 makes use of the theory of closed relations to study Lyapunov functions. Prolongations and …
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Estimating Reachability Set Sizes in Dynamic Graphs
… on Twitter and Facebook. Different kinds of topological properties of such graphs are computed for gaining insights into their structure. Computing properties of large real networks is computationally very challenging. Further, most real world networks are dynamic, i.e., they change over …
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Exceptional surfaces as topological obstructions in dynamical systems
We extend topological methods, originally used in the study of topological insulators, to the general nonlinear differential system. In particular, we develop a formulation of the Berry phase for classical dynamical systems and demonstrate its usage on a toy-model. Thereafter we discuss classical …
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On the geometry and topology of moduli spaces of multi-polygonal linkages
The geometric, topological, and symplectic properties of moduli spaces (spaces of configurations modulo rotations and translations) of polygonal linkages have been studied by Kapovich, Millson, and Kamiyama, et. al. One can form a polygonal linkage by taking two free linkages and identifying …
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A framework for fuzzy topology with particular reference to sequentiality and countability
… is used for the study of fuzzy countability properties and for the fuzzification of classical sequentiality. In extending classical notions to fuzzy theory care is taken to ensure that they are a special case of the emerging fuzzy concepts. An examination of convergence in the sense of Pu and …
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Modelling of Berry phase and Fermi-level topologies for emergent quantum phenomena prediction in selected solid state systems
Topological materials host electronic states that remain robust against perturbations and offer routes to novel quantum functions. This thesis investigates three representative compounds - SrSi2, CoSi, and NbP - to reveal how external stimuli, namely tensile strain and electric fields, tune their …
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