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 7 of 7 for “"spectral gaps"”.
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Spectral gaps for many-particle systems, semiclassical analysis of graphene, and quantum dynamics
… in the first chapter, are concerned with spectral gaps of classical many-particle systems, the mean-field O(n) model and the chain of oscillators. We study the optimal constant in the Poincar´e inequality of the associated Gibbs measure. For the mean-field O(n)-model we use renormalization …
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On Exponentially Localized Wannier Functions in Non-Periodic Insulators
… prove that under the assumption of ``uniform spectral gaps'', a technical assumption we introduce, that our algorithm constructs ELWFs.</p><p>While the uniform spectral gaps assumption is not always met in practice, in Chapter 4, we prove that for a wide class of systems (both periodic and …
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Generalized phononic networks : of length scales, symmetry breaking and (non) locality : "controlling complexity through simplicity"
… which possesses multiple complete in-plane spectral gaps totaling over 100% in normalized gap size to a phononic metamaterial which exhibits a single complete in-plane spectral gap of 102% and a complete spectral gap of 88%, both significant advancements over the state of the art. This …
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Spectral theory: minimizing Robin gaps, and singular limits for sign-changing weights
Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2022-11-11 without embargo terms
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High temperature quantum transport in graphene/hexagonal-boron nitride heterostructures
… again go to elevated temperatures, where all the spectral gaps related to Hofstadter butterflies are completely smeared, and instead find a new type of quantum oscillation. These new oscillations are periodic in 1/B with a frequency corresponding to one flux quantum piercing the superlattice unit …
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Computations and lower bounds for scl and the relative Gromov seminorm
… a new proof of a theorem of Heuer on a sharp spectral gap for right-angled Artin groups.
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The Foundations of Infinite-Dimensional Spectral Computations
Spectral computations in infinite dimensions are ubiquitous in the sciences. However, their many applications and theoretical studies depend on computations which are infamously difficult. This thesis, therefore, addresses the broad question, “What is computationally possible within the field of …