Results 21 to 30 of about 344,178 (328)
Topological inference of manifolds with boundary
Computational Geometry, 2020 Given a set of data points sampled from some underlying space, there are two important challenges in geometric and topological data analysis when dealing with sampled data: reconstruction -- how to assemble discrete samples into global structures, and inference -- how to extract geometric and topological information from data that are high-dimensional,
Bei Wang, Yuan Wang
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Topological boundaries of covariant representations
MATHEMATICA SCANDINAVICA, 2023 We associate a boundary $\mathcal B_{\pi ,u}$ to each covariant representation $(\pi ,u,H)$ of a $C^*$-dynamical system $(G,A,\alpha )$ and study the action of $G$ on $\mathcal B_{\pi ,u}$ and its amenability properties. We relate rigidity properties of traces on the associated crossed product $C^*$-algebra to faithfulness of the action of the group on
Amini, Massoud, Zavar, Sajad
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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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On the topology of the boundary of a basin of attraction [PDF]
Proceedings of the American Mathematical Society, 2007 Suppose φ : M × R ⟶ M \varphi : M \times \mathbb {R} \longrightarrow M is a continuous flow on a locally compact metrizable space M M and K K is an (asymptotically stable) attractor.
J. J. Sánchez-Gabites +1 more
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A precise TIN clipping algorithm for the digital mining design of the opencast coal mine
PLoS ONE, 2023 The triangulated irregular network (TIN) clipping algorithm is one of the vital algorithms for the digital mining design of opencast coal mines based on the geological digital elevation model (DEM) described by TIN.
Jingchang Zhao +3 more
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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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Topological expansion and boundary conditions [PDF]
Journal of High Energy Physics, 2008 In this article, we compute the topological expansion of all possible mixed-traces in a hermitian two matrix model. In other words we give a recipe to compute the number of discrete surfaces of given genus, carrying an Ising model, and with all possible given boundary conditions.
Nicolas Orantin, Bertrand Eynard
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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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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.
Peter E. Finch +3 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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