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Decay and non-decay for the massless Vlasov equation on subextremal and extremal Reissner-Nordström black holes. [PDF]
Arch Ration Mech AnalWeissenbacher M.
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Evolutions of partner-ruled surfaces with simultaneous inextensibility conditions. [PDF]
PLoS OneEren K, Ersoy S, Khan MNI.
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Fisher-Rao Distance for Finite-Energy Signal Manifolds: Geometric Foundations and Numerical Analysis. [PDF]
Entropy (Basel)Florin F.
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Distances Between Extension Spaces of Phylogenetic Trees. [PDF]
IEEE Trans Comput Biol BioinformValdez Cabrera MA, Willis AD.
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Walks with jumps: a neurobiologically motivated class of paths in the hyperbolic plane. [PDF]
J Math BiolDeBlois J, Einstein E, Victor JD.
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ACM Transactions on Graphics, 2010
Geodesic curves in surfaces are not only minimizers of distance, but they are also the curves of zero geodesic (sideways) curvature. It turns out that this property makes patterns of geodesics the basic geometric entity when dealing with the cladding of a freeform surface with wooden panels which do not bend ...
Bailin Deng +2 more
exaly +5 more sources
Geodesic curves in surfaces are not only minimizers of distance, but they are also the curves of zero geodesic (sideways) curvature. It turns out that this property makes patterns of geodesics the basic geometric entity when dealing with the cladding of a freeform surface with wooden panels which do not bend ...
Bailin Deng +2 more
exaly +5 more sources
Proceedings of the 26th ACM SIGKDD International Conference on Knowledge Discovery & Data Mining, 2020
Together with the curse of dimensionality, nonlinear dependencies in large data sets persist as major challenges in data mining tasks. A reliable way to accurately preserve nonlinear structure is to compute geodesic distances between data points. Manifold learning methods, such as Isomap, aim to preserve geodesic distances in a Riemannian manifold ...
Meghana Madhyastha +6 more
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Together with the curse of dimensionality, nonlinear dependencies in large data sets persist as major challenges in data mining tasks. A reliable way to accurately preserve nonlinear structure is to compute geodesic distances between data points. Manifold learning methods, such as Isomap, aim to preserve geodesic distances in a Riemannian manifold ...
Meghana Madhyastha +6 more
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Geodesics and Almost Geodesics Curves
Results in Mathematics, 2018An \textit{almost geodesic} of an affine connection \(\nabla\) on a manifold is a curve \(x(t)\) in the manifold so that \[ \nabla^2_{\dot{x}}\dot{x}=a\nabla_{\dot{x}} \dot{x}+b\dot{x}, \] for some real-valued continuous functions \(a(t)\), \(b(t)\).
Olga Belova +2 more
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Geodesic as Limit of Geodesics on PL-Surfaces
2008We study the problem of convergence of geodesics on PL-surfaces and in particular on subdivision surfaces. More precisely, if a sequence (Tn)n∈N of PL-surfaces converges in distance and in normals to a smooth surface S and if Cn is a geodesic of Tn (i.e.
André Lieutier, Boris Thibert
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