Results 11 to 20 of about 42,135 (268)
Proportional Topology Optimization under Reliability-based Constraints [PDF]
Journal of Applied and Computational Mechanics, 2022 Topology optimization is a methodology widely used in the design phase that has gained space in engineering. On the other hand, uncertainty is present in material properties, loads, and boundary conditions in practically any design.
Rodrigo Amaral +2 more
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Grain-boundary topological phase transitions [PDF]
Proceedings of the National Academy of Sciences, 2020 Significance We reveal the existence of a topological phase transition (Kosterlitz–Thouless type) in grain boundaries (GBs)—important internal surfaces in crystalline materials. GB dynamics are controlled by the formation/migration of line defects (disconnections) with dislocation and step character. Below the GB KT transition, disconnections
Kongtao Chen +2 more
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Liouvillian skin effect in an exactly solvable model
Physical Review Research, 2022 The interplay between dissipation, topology, and sensitivity to boundary conditions has recently attracted tremendous amounts of attention at the level of effective non-Hermitian descriptions.
Fan Yang +2 more
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Induced Topological Phases at the Boundary of 3D Topological Superconductors [PDF]
Physical Review Letters, 2015 We present tight-binding models of 3D topological superconductors in class DIII that support a variety of winding numbers. We show that gapless Majorana surface states emerge at their boundary in agreement with the bulk-boundary correspondence.
Finch, P +3 more
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Non-Hermitian Boundary Modes and Topology [PDF]
Physical Review Letters, 2020 We consider conditions for the existence of boundary modes in non-Hermitian systems with edges of arbitrary codimension. Through a universal formulation of formation criteria for boundary modes in terms of local Green's functions, we outline a generic perspective on the appearance of such modes and generate corresponding dispersion relations.
Borgnia, Dan S. +2 more
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La nuit pensée et vécue comme une frontière quasi topologique
Ateliers d'Anthropologie, 2020 The notions “night”, “day”, “sunset”, “sunrise”, “dawn” and “dusk” have meanings that are not independent, since they are part of frameworks structured by a quasi-topology, which is an extension of the general topology.
Jean-Pierre Desclés
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Du trimorphe aux frontières quasi topologiques
Ateliers d'Anthropologie, 2012 Topology is used in linguistics for semantic, lexical and grammatical descriptions. However, classical topology, with its notion of the limit, is insufficient. Therefore, to describe numerous semantic oppositions (such as “again” / “not again”, “already”
Jean-Pierre Desclés
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Mathematics, 2023 We propose here a general framework covering a wide range of fractional operators for vector-valued functions. We indicate to what extent the case in which assumptions are expressed in terms of weak topology is symmetric to the case of norm topology ...
Mieczysław Cichoń +2 more
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Equivalent topologies on the contracting boundary
Glasnik matematički, 2023 The contracting boundary of a proper geodesic metric space generalizes the Gromov boundary of a hyperbolic space. It consists of contracting geodesics up to bounded Hausdorff distances. Another generalization of the Gromov boundary is the \(\kappa\)–Morse boundary with a sublinear function \(\kappa\).
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Boundary Learning by Optimization with Topological Constraints [PDF]
2010 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, 2010 Recent studies have shown that machine learning can improve the accuracy of detecting object boundaries in images. In the standard approach, a boundary detector is trained by minimizing its pixel-level disagreement with human boundary tracings. This naive metric is problematic because it is overly sensitive to boundary locations. This problem is solved
Viren Jain +16 more
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