FERAL
发表于 2025-3-21 16:26:43
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放逐某人
发表于 2025-3-21 22:18:36
Szymon M. WalczakCovers metric diffusion along compact foliations.Reinforces basic principles in foliations, holonomy, and heat diffusion.Clarifies the metrization of weak topology.Includes supplementary material: .In
Obverse
发表于 2025-3-22 03:47:19
SpringerBriefs in Mathematicshttp://image.papertrans.cn/m/image/632458.jpg
斑驳
发表于 2025-3-22 08:22:49
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Insulin
发表于 2025-3-22 10:15:05
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Immunoglobulin
发表于 2025-3-22 15:53:00
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千篇一律
发表于 2025-3-22 20:46:49
Wasserstein Distance,ich Duality Theorem for optimal transportation problem. We also recall the definition of the Wasserstein distance, together with the weak-∗ topology metrization theorem for the set . of Borel probability measures on a compact metric space .. The chapter is closed by some technical lemmas used in the
粗鄙的人
发表于 2025-3-22 21:15:55
Foliations and Heat Diffusion,ct foliation, a foliation given by a submersion, Reeb foliation of a solid torus, a linear foliation of a torus). We also recall the notion of the holonomy of a leaf. We present the foliated Laplace operator and foliated heat diffusion operators semigroup together with the definition of harmonic mea
Allowance
发表于 2025-3-23 04:58:33
Compact Foliations,view, are very interesting. In 1952, Reeb (Actual scient. ind. 1183:93–154, 1952) described a smooth flow on non-compact manifold which has periodic orbits such that the length of orbits is locally unbounded. Edwards et al. (Topology, 16:13–32, 1977) have given a full answer to the following questio
Obstruction
发表于 2025-3-23 08:14:51
Metric Diffusion,beneath this notion. We propose a modification of the initial Riemannian metric using the notions of heat diffusion and Wasserstein distance as a metric defined as the Wasserstein distance of Dirac masses concentrated at given points ., . ∈ . diffused, by foliated diffusion of measures, at time . >