Topological boundaries of covariant representations
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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Recent advances in metasurface design and quantum optics applications with machine learning, physics-informed neural networks, and topology optimization methods [PDF]
As a two-dimensional planar material with low depth profile, a metasurface can generate non-classical phase distributions for the transmitted and reflected electromagnetic waves at its interface. Thus, it offers more flexibility to control the wave front.
Wenye Ji+6 more
semanticscholar +1 more source
Space Boundary Topology Simplification for Building Energy Performance Simulation Speedup
In recent studies, methodologies for automated Building Energy Performance simulation model generation, utilizing Building Information Model data, have received considerable attention. In most cases, each space of a building is treated as a thermal zone,
G. Lilis+3 more
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Induced Topological Phases at the Boundary of 3D Topological Superconductors [PDF]
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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Grain-boundary topological phase transitions [PDF]
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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Topological expansion and boundary conditions [PDF]
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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On the topology of the boundary of a basin of attraction [PDF]
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
openalex +3 more sources
Evidence of topological boundary modes with topological nodal-point superconductivity [PDF]
Raw data of the main text figures. The files can be opened using either MATLAB (*.fig) or Gwyddion (*.gwy).
Haim Beidenkopf+13 more
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A precise TIN clipping algorithm for the digital mining design of the opencast coal mine
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
doaj +2 more sources
Liouvillian skin effect in an exactly solvable model
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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