Results 41 to 50 of about 264 (216)
Closed Geodesics on Riemann Surfaces [PDF]
Proceedings of the American Mathematical Society, 1978 This note deals with an elementary property of closed geodesics on surfaces with a complete metric of constant negative curvature.
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Advanced Science, EarlyView.scTIDE identifies single‐cell tipping points by combining manifold‐based graph representations with optimal‐transport conditional flow matching, which preserves intrinsic topology and models distributional dynamics. It supports critical‐transition detection at individual‐cell resolution, prediction of unseen cells, and dimensionality reduction and ...
Jiayuan Zhong +6 more
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On the existence of geodesic vector fields on closed surfaces [PDF]
Theoretical and Applied MechanicsWe construct an example of a Riemannian metric on the 2-torus such that its universal cover does not admit global Riemann normal coordinates.
Matveev Vladimir S.
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Journal of High Energy Physics, 2022 The string vertices of closed string field theory are subsets of the moduli spaces of punctured Riemann surfaces that satisfy a geometric version of the Batalin-Vilkovisky master equation.
Kevin Costello, Barton Zwiebach
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Closed Geodesics with Lipschitz Obstacle
Journal of Mathematical Analysis and Applications, 1999 It is considered a different kind of nonsmooth subset of \(\mathbb{R}^n\) with Lipschitz boundary. A new definition for geodesics on a general subset of \(\mathbb{R}^n\) is proposed and their basic property is showed. This definition is related to the nonsmooth critical point theory, presented below.
Degiovanni, Marco, Morbini, Laura
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Advanced Science, EarlyView.Mice can transfer the learned rule of spatial working memory to guide similar but novel tasks. Hippocampal CA3 populational activity dynamically reorganize during memory generalization, shifting from task‐specific to generalized coding over testing days. Sparse yet redundant neural representations of CA3 enable rule transfer and cognitive map formation,
Da Song +8 more
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The Space of Closed Geodesics on a Surface
Interdisciplinary Information Sciences, 2003 Let \(F\) be a closed, orientable surface of genus \(g\), endowed with a metric of constant curvature and denote by \({\mathcal G}_g\) the set of closed geodesics on \(F\). Closed geodesics are considered as images of periodic maps from \(\mathbb{R}\) into \(F\).
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Quantum‐Like Dynamics in Whole‐Brain Models of the Human Connectome
Advanced Science, EarlyView.Quantum‐like dynamics in the human brain. The level of quantum‐like behavior in a non‐quantum system of coupled oscillators is regulated by the spectral gap of the coupling graph. Whole‐brain modelling using QL fits the empirical data significantly better and has a lower model‐derived energy cost than the non‐QL model.
Gustavo Deco +5 more
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Advanced Science, EarlyView.Ex‐spRandom is a spatial transcriptomics platform that synergizes random‐primed chemistry with iterative hydrogel expansion. By physically decrowding the dense FFPE matrix, this scalable technology shatters the traditional resolution‐sensitivity barrier.
Shunji Zhang +7 more
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Advanced Intelligent Systems, EarlyView.The phase discontinuity problem—where the cyclic nature of phase angles causes catastrophic errors near the ±π boundary—is a fundamental obstacle in learning‐based reconfigurable intelligent surface (RIS) optimization. A phase‐aware hybrid CNN–LSTM framework resolves this by decomposing phase predictions into sine–cosine components, mapping circular ...
Seda Savaşçı Şen +3 more
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