Results 11 to 20 of about 201,945 (296)
Signatures in algebra, topology and dynamics
Ensaios Matemáticos, 2016 We survey the 19th century development of the signature of a quadratic form, and the applications in the 20th and 21st century to the topology of manifolds and dynamical systems. Version 2 is an expanded and corrected version of Version 1, including an Appendix by the second named author "Algebraic L-theory of rings with involution and the localization
Étienne Ghys, Andrew Ranicki
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Discovery of higher-order topological insulators using the spin Hall conductivity as a topology signature [PDF]
npj Computational Materials, 2021 The discovery and realization of topological insulators, a phase of matter which hosts metallic boundary states when the d-dimension insulating bulk is confined to (d − 1)-dimensions, led to several potential applications.
Marcio Costa +6 more
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Deep Learning with Topological Signatures [PDF]
arXiv, 2017 Inferring topological and geometrical information from data can offer an alternative perspective on machine learning problems. Methods from topological data analysis, e.g., persistent homology, enable us to obtain such information, typically in the form of summary representations of topological features.
Hofer, Christoph +3 more
arxiv +3 more sources
Graphical ModelsPorous structures are essential in a variety of fields such as materials science and chemistry. To retrieve porous materials efficiently, novel descriptors are required to quantify the geometric and topological features. In this paper, we present a novel
Peisheng Zhuo, Zitong He, Hongwei Lin
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Band Topology and Dichroic Signature of Bismuth
, 2017 6 ...
Guang Bian +5 more
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Bulk topological signatures of a quasicrystal [PDF]
Physical Review B, 2021 We show how measuring real space properties such as the charge density in a quasiperiodic system can be used to gain insight into their topological properties. In particular, for the Fibonacci chain, we show that the total onsite charge oscillates when plotted in the appropriate coordinates, and the number of oscillations is given by the Chern number ...
Rai, Gautam +4 more
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Signatures of Topological Branched Covers [PDF]
International Mathematics Research Notices, 2020 Abstract Let $X^4$ and $Y^4$ be smooth manifolds and $f: X\to Y$ a branched cover with branching set $B$. Classically, if $B$ is smoothly embedded in $Y$, the signature $\sigma (X)$ can be computed from data about $Y$, $B$ and the local degrees of $f$. When $f$ is an irregular dihedral cover and $B\subset Y$ smoothly embedded away from a
Geske, C., Kjuchukova, A., Shaneson, J.
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Graphic Groups, Graph Homomorphisms, and Graphic Group Lattices in Asymmetric Topology Cryptography
Entropy, 2023 Using asymmetric topology cryptography to encrypt networks on the basis of topology coding is a new topic of cryptography, which consists of two major elements, i.e., topological structures and mathematical constraints.
Meimei Zhao, Hongyu Wang, Bing Yao
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Arthritis Research & Therapy, 2021 Background There have been lacking reliable serum biomarkers in assessing the disease activity of Takayasu’s arteritis (TAK). This study aimed to assess the disease activity of TAK by assayed gene expression levels in peripheral mononuclear cells (PBMCs).
Yixiao Tian +3 more
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Signatures of topological defects [PDF]
Physical Review D, 1998 version accepted for publication in Phys. Rev. D.
Alexander Vilenkin +2 more
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