Results 131 to 140 of about 354,587 (290)
Analysis and Geometry in Metric Spaces, 2016 We consider a ‘contracting boundary’ of a proper geodesic metric space consisting of equivalence classes of geodesic rays that behave like geodesics in a hyperbolic space.We topologize this set via the Gromov product, in analogy to the topology of the ...
Cashen Christopher H.
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Solvable Topological Boundaries
, 2019 The hallmark of topological phases of matter is the presence of robust boundary states. In this dissertation, a formalism is developed with which analytical solutions for these states can be straightforwardly obtained by making use of destructive interference, which is naturally present in a large family of lattice models. The validity of the solutions
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Quasi‐Static to Supersonic Energy Absorption of Nanoarchitected Tubulanes and Schwarzites
Advanced Functional Materials, EarlyView.Nanoarchitected energy‐absorptive Tubulanes exhibit record energy absorption under quasi‐static conditions and exceptional inelastic energy dissipation under 750 m s−1 ballistics impact, with high performance spanning strain rates of 12 orders of magnitude.
Peter Serles +16 more
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Topological divisors of zero and Shilov boundary
Topology and its Applications, 2006 Let \(L\) be a non-archimedean and non-trivially complete valued field, let \((A, \|. \| )\) be a commutative normed \(L\)-algebra with unity, and let \(\|.\| _{si}\) be the spectral seminorm of \(A\) defined by \(\| x \| _{si}:= \lim_{n} \| x^n \| ^{1/n}\). The Shilov boundary of \(A\) is the smallest among all the subsets \(F\) of Mult\((A,\|.
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2D Magnetic and Topological Quantum Materials and Devices for Ultralow Power Spintronics
Advanced Functional Materials, EarlyView.2D magnets and topological quantum materials enable ultralow‐power spintronics by combining robust magnetic order with symmetry‐protected, Berry‐curvature‐driven transport. Fundamentals of 2D anisotropy and spin‐orbit‐coupling induced band inversion are linked to scalable growth and vdW stacking.
Brahmdutta Dixit +5 more
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Triplet‐Triplet Annihilation Enhances Photochemical Curing Contrast for Vat‐Based 3D Printing
Advanced Functional Materials, EarlyView.Triplet–triplet annihilation photopolymerization (TTAP) resins enhance curing contrast for digital light processing (DLP) 3D printing compared to conventional Type I and II photopolymerizations at matched optical densities. By exploiting a superlinear initiation response, TTAP preserves fine details, allowing reliable fabrication of complex structures ...
Connor J. O'Dea +2 more
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Design of nonlinear gradient sheet-based TPMS-lattice using artificial neural networks
Journal of Materials Research and TechnologyGradient triply periodic minimal surface (TPMS) structures are renowned for lightweight design and enhanced performance, but their complex and nonlinear configurations pose challenges in achieving targeted design goals.
Zhou Li +8 more
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Topological Quantum Computation with Gapped Boundaries and Boundary Defects
, 2017 9 pages, 7 figures, to appear in Proceedings of Contemporary Mathematics based on the AMS Special Session on Topological Phases of Matter and Quantum Computation.
Cong, Iris, Wang, Zhenghan
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Advanced Functional Materials, EarlyView.Two pyridinium‐based ionic liquid templated hybrid manganese halides, (C4Py)2[MnCl4] and (C4Py)2[MnBr4], display similar bulk structures but show significantly different photoluminescence behaviors due to the bromine heavy‐atom effect. Their stable local Mn environments remain intact even in the molten state, allowing applications such as luminescence ...
Biswajit Bhattacharyya +22 more
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Surfaces, submanifolds, and aligned Fox reimbedding in non-Haken 3-manifolds
, 2003 Understanding non-Haken 3-manifolds is central to many current endeavors in 3-manifold topology. We describe some results for closed orientable surfaces in non-Haken manifolds, and extend Fox's theorem for submanifolds of the 3-sphere to submanifolds of ...
Abigail Thompson +2 more
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