Results 1 to 10 of about 13,374,618 (192)
On stable quantum currents [PDF]
Journal of Mathematical Physics, 2020 We study the transport properties of discrete quantum dynamical systems on the lattice, in particular, coined quantum walks and the Chalker–Coddington model. We prove the existence of a non-trivial charge transport implying that the absolutely continuous spectrum covers the whole unit circle under mild assumptions.
Asch, Joachim +2 more
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Cell Reports, 2023 Summary: Intracortical microstimulation (ICMS) enables applications ranging from neuroprosthetics to causal circuit manipulations. However, the resolution, efficacy, and chronic stability of neuromodulation are often compromised by adverse tissue ...
Roy Lycke +12 more
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Controlling stable Bloch points with electric currents
Scientific Reports, 2023 The Bloch point is a point singularity in the magnetisation configuration, where the magnetisation vanishes. It can exist as an equilibrium configuration and plays an important role in many magnetisation reversal processes.
Martin Lang +4 more
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NON-EXISTENCE OF STABLE CURRENTS II
Kyushu Journal of Mathematics, 1997 [Part I appeared in Ann. Global Anal. Geom. 13, 197-205 (1995; Zbl 0829.53046).] Let \(N\) be an \(n\)-dimensional compact Riemannian submanifold in an \(m\)-dimensional Riemannian manifold \(M\) which is a submanifold of \(\mathbb{R}^{m+1}\) or \(\mathbb{R}^{m+2}\).
Cheng, Qing-Ming, Shiohama, Katsuhiro
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On stable currents and positively curved hypersurfaces [PDF]
Proceedings of the American Mathematical Society, 2000 The article ``On stable currents and their applications to global problems in real and complex geometry'' written by \textit{H. B. Lawson} and \textit{J. Simons} [Ann. Math., II. Ser. 98, 427-450 (1973; Zbl 0283.53049)] is basic for the paper under review in many respects: There is presented the theory of stable currents, a conjecture is formulated and
Shen, Yi-Bing, He, Qun
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Vanishing Homology of Warped Product Submanifolds in Complex Space Forms and Applications
Mathematics, 2022 In this paper, we prove the nonexistence of stable integral currents in compact oriented warped product pointwise semi-slant submanifold Mn of a complex space form M˜(4ϵ) under extrinsic conditions which involve the Laplacian, the squared norm gradient ...
Ali H. Alkhaldi +3 more
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Null Homology Groups and Stable Currents in Warped Product Submanifolds of Euclidean Spaces
Symmetry, 2021 In this paper, we prove that, for compact warped product submanifolds Mn in an Euclidean space En+k, there are no stable p-currents, homology groups are vanishing, and M3 is homotopic to the Euclidean sphere S3 under various extrinsic restrictions ...
Yanlin Li +3 more
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On the Topology of Warped Product Pointwise Semi-Slant Submanifolds with Positive Curvature
Mathematics, 2021 In this paper, we obtain some topological characterizations for the warping function of a warped product pointwise semi-slant submanifold of the form Ωn=NTl×fNϕk in a complex projective space CP2m(4).
Yanlin Li +3 more
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The Homology of Warped Product Submanifolds of Spheres and Their Applications
Mathematics, 2023 The aim of the current article is to formulate sufficient conditions for the Laplacian and a gradient of the warping function of a compact warped product submanifold Σβ1+β2 in a unit sphere Sd that provides trivial homology and fundamental groups.
Lamia Saeed Alqahtani +3 more
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