Results 301 to 310 of about 145,201 (332)
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Experimental Signatures of Topological Insulators
2017Energy bands in solids describe quantum states in periodic crystals. When a quantum state is wound around the Brillouin zone, it acquires a quantum phase. For a completely filled band, the global phase acquired in this winding is a topological property of the band. For 3D solid with timereversal symmetry, there are two topological classes corresponding
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Topological Signatures for Classification
2016In recent years the statistical analysis of topological signatures computable from a possibly high-dimensional point cloud has attracted increasing attention from a theoretical as well as applied point of view. In this work we briefly review the basic techniques and main inferential results available in the TDA (Topological Data Analysis) toolkit ...
BRUTTI, Pierpaolo, PADELLINI, TULLIA
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Topological Signatures of Multiregional Dynamics
Multiregional dynamics, characterized by complex interactions among spatially distributed components, are fundamental to understanding intricate systems ranging from the human brain to global climate patterns and social networks. Traditional analytical methods often focus on pairwise correlations or static network structures, potentially overlooking ...Revista, Zen, HISTORY, 10
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Topological Signatures of Classical Chaos
Classical chaos, characterized by sensitive dependence on initial conditions and unpredictable long-term behavior, is a ubiquitous phenomenon across various scientific disciplines. While traditional metrics like Lyapunov exponents and fractal dimensions offer valuable insights, they often fall short in capturing the intrinsic geometric and structural ...Revista, Zen, PHYSICS, 10
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Signature of Topology of the Universe
SRI JNPG COLLEGE REVELATION A JOURNAL OF POPULAR SCIENCE, 2018The main motivation to write this article is to relate the cosmology and topology in order to gain some insight into the topological signatures of the Standard model of Universe. The theory of General Relativity as given by Einstein only describes the local geometry of space but not global, hence leaves the possibility to explore the topology of the ...
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Topological Signatures of Linear Transformations
This paper explores the intricate relationship between linear algebra and algebraic topology by investigating the topological signatures inherent in linear transformations. Traditional linear algebra primarily focuses on algebraic properties like rank, nullity, and eigenvalues.openaire +1 more source
Metric Signatures of Topological Continuity
This paper explores the deep connection between metric geometry and topology, postulating that specific, quantifiable metric properties can serve as robust signatures for the topological property of continuity. While continuity is fundamentally a topological concept, its classical definition in metric spaces relies on the epsilon-delta formulation ...openaire +1 more source
Topological Signatures of Fundamental Arithmetic
This paper explores the theoretical framework for identifying and characterizing topological signatures inherent in fundamental arithmetic structures and operations. While number theory traditionally investigates discrete properties of integers and primes, topology focuses on continuous deformation and invariant features of spaces.openaire +1 more source
Exceptional topology of non-Hermitian systems
Reviews of Modern Physics, 2021Emil J Bergholtz +2 more
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