By Szymon M. Walczak
ISBN-10: 3319575163
ISBN-13: 9783319575162
Up-to-date study in metric diffusion alongside compact foliations is gifted during this e-book. starting with basics from the optimum transportation concept and the idea of foliations; this ebook strikes directly to conceal Wasserstein distance, Kantorovich Duality Theorem, and the metrization of the susceptible topology by means of the Wasserstein distance. Metric diffusion is outlined, the topology of the metric area is studied and the boundaries of subtle metrics alongside compact foliations are mentioned. necessities on foliations, holonomy, warmth diffusion, and compact foliations are precise and important technical lemmas are proved to aide understanding.
Graduate scholars and researchers in geometry, topology and dynamics of foliations and laminations will locate this complement precious because it provides evidence in regards to the metric diffusion alongside non-compact foliation and offers a whole description of the restrict for metrics subtle alongside foliation with no less than one compact leaf at the dimensions.
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Metric Diffusion Along Foliations (SpringerBriefs in Mathematics) by Szymon M. Walczak
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