Results 1 to 10 of about 805,934 (287)
Bulk detection of time-dependent topological transitions in quenched chiral models [PDF]
Physical Review Research, 2020 The topology of one-dimensional chiral systems is captured by the winding number of the Hamiltonian eigenstates. Here we show that this invariant can be read out by measuring the mean chiral displacement of a single-particle wave function that is ...
Alessio D'Errico +7 more
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Invariant and Absolute Invariant Means of Double Sequences [PDF]
Journal of Function Spaces and Applications, 2012 We examine some properties of the invariant mean, define the concepts of strong σ-convergence and absolute σ-convergence for double sequences, and determine the associated sublinear functionals.
Abdullah Alotaibi +2 more
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A basic inequality for submanifolds in a cosymplectic space form [PDF]
International Journal of Mathematics and Mathematical Sciences, 2003 For submanifolds tangent to the structure vector field in cosymplectic space forms, we establish a basic inequality between the main intrinsic invariants of the submanifold, namely, its sectional curvature and scalar curvature on one side; and its main ...
Jeong-Sik Kim, Jaedong Choi
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Conjugation-invariant means [PDF]
Colloquium Mathematicum, 1987 Let \(G\) be a locally compact group, \(dx\) a left invariant measure, \((\tau_ x' f)(y)=f(xyx^{-1})\), \(x\in G\), \(f\in L^{\infty}(G)\) and \(\tau_ x\) the adjoint of \(\tau_ x'\) on \(L'(G)\). A nonnegative linear function M on \(L^{\infty}(G)\) is called a mean if \(M(1)=1\); a mean \(M\) is conjugate invariant if \(M(\tau_ x' f)=M(f)\) for all ...
Losert, Viktor, Rindler, H.
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Aequationes mathematicae, 2018 Let \(M\) and \(N\) be means on the same interval \(I\). The paper deals with the following invariance problem: finding a mean \(K\) on \(I\) such that \[ K(M(x,y),N(x,y))=K(x,y), \] for all \(x,y\in I\). One can see as a starting point of this problem the identity \[ \frac{x+y}{2}\cdot \frac{2}{\frac{1}{x}+\frac{1}{y}}=xy.
Jarczyk, Justyna, Jarczyk, Witold
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On the Beckenbach–Gini–Lehmer Means and Means Mappings
Mathematics, 2020 Beckenbacg–Gini–Lehmer type means and mean-type mappings generated by functions of several variables, for which the arithmetic mean is invariant, are introduced.
Janusz Matkowski, Małgorzata Wróbel
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Permutation Invariant Feature Extraction Method Based on Affinity Matrix of Point Cloud [PDF]
Jisuanji gongcheng, 2022 The applicationofpoint cloud recognition and segmentation requires the extraction ofthe spatial rotation invariant and permutation invariant features of the point cloud.PointCNN extracts these features by supervised learning, but this requires additional
XU Jialin, YAO Shuang, ZHANG Ruihua, XU Hao, SHEN Yang
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$\mathcal{T}_{M}$-Amenability of Banach Algebras [PDF]
Sahand Communications in Mathematical AnalysisWe introduce the notions of $\mathcal{T}_{M}$-amenability and $\phi$-$\mathcal{T}_{M}$-amenability. Then, we characterize $\phi$-$\mathcal{T}_{M}$-amenability in terms of $WAP$-diagonals and $\phi$-invariant means. Some concrete cases are also discussed.
Ali Ghaffari, Samaneh Javadi
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An amenability-like property of finite energy path and loop groups
Comptes Rendus. Mathématique, 2021 We show that the groups of finite energy loops and paths (that is, those of Sobolev class $H^1$) with values in a compact connected Lie group, as well as their central extensions, satisfy an amenability-like property: they admit a left-invariant mean on ...
Pestov, Vladimir
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Remark on invariant means [PDF]
Proceedings of the American Mathematical Society, 1967 In this note G is an abelian group and m is generically an invariant mean in G, as defined, for example, in [4]. Probabilistic arguments [Baire's theorem] are applied to the measure [topological] space 2G to obtain information about the means m. One result, which appears to be new, is an answer to a problem set by R. G.
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