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Exploring the intersection of probability theory and geometry, this book delves into random mosaics created by Poisson processes of hyperplanes. It examines the independence properties of these processes and their long-range effects, revealing a multitude of phenomena significant in both geometric and probabilistic contexts. The text covers various perspectives and comprehensively discusses established literature, making it a valuable resource for graduate students, professional mathematicians, and researchers across multiple disciplines, including physics and engineering.
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Poisson Hyperplane Tessellations, Daniel Hug, Rolf Schneider
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- 2024
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