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Titlebook: Metric Diffusion Along Foliations; Szymon M. Walczak Book 2017 The Author(s) 2017 Wasserstein distance.Metric diffusion.Compact foliations

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發(fā)表于 2025-3-21 16:26:43 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Metric Diffusion Along Foliations
編輯Szymon M. Walczak
視頻videohttp://file.papertrans.cn/633/632458/632458.mp4
概述Covers metric diffusion along compact foliations.Reinforces basic principles in foliations, holonomy, and heat diffusion.Clarifies the metrization of weak topology.Includes supplementary material: .In
叢書名稱SpringerBriefs in Mathematics
圖書封面Titlebook: Metric Diffusion Along Foliations;  Szymon M. Walczak Book 2017 The Author(s) 2017 Wasserstein distance.Metric diffusion.Compact foliations
描述.Up-to-date research in metric diffusion along compact foliations is presented in this book. Beginning with fundamentals from the optimal transportation theory and the theory of foliations; this book moves on to cover Wasserstein distance, Kantorovich Duality Theorem, and the metrization of the weak topology by the Wasserstein distance. Metric diffusion is defined, the topology of the metric space is studied and the limits of diffused metrics along compact foliations are discussed. Essentials on foliations, holonomy, heat diffusion, and compact foliations are detailed and vital technical lemmas are proved to aide understanding.. .Graduate students and researchers in geometry, topology and dynamics of foliations and laminations will find this supplement useful as it presents facts about the metric diffusion along non-compact foliation and provides a full description of the limit for metrics diffused along foliation with at least one compact leaf on the two dimensions..
出版日期Book 2017
關(guān)鍵詞Wasserstein distance; Metric diffusion; Compact foliations; heat diffusion; non-compact foliations; Holon
版次1
doihttps://doi.org/10.1007/978-3-319-57517-9
isbn_softcover978-3-319-57516-2
isbn_ebook978-3-319-57517-9Series ISSN 2191-8198 Series E-ISSN 2191-8201
issn_series 2191-8198
copyrightThe Author(s) 2017
The information of publication is updating

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沙發(fā)
發(fā)表于 2025-3-21 22:18:36 | 只看該作者
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
板凳
發(fā)表于 2025-3-22 03:47:19 | 只看該作者
SpringerBriefs in Mathematicshttp://image.papertrans.cn/m/image/632458.jpg
地板
發(fā)表于 2025-3-22 08:22:49 | 只看該作者
5#
發(fā)表于 2025-3-22 10:15:05 | 只看該作者
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發(fā)表于 2025-3-22 15:53:00 | 只看該作者
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發(fā)表于 2025-3-22 20:46:49 | 只看該作者
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
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發(fā)表于 2025-3-22 21:15:55 | 只看該作者
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
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發(fā)表于 2025-3-23 04:58:33 | 只看該作者
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
10#
發(fā)表于 2025-3-23 08:14:51 | 只看該作者
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 . >
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