Integral geometry, known as geometric probability in the past, originated from Buffon's needle experiment. Remarkable advances have been made in several areas that involve the theory of convex bodies. This volume brings together contributions by leading international researchers in integral geometry, convex geometry, complex geometry, probability, statistics, and other convexity related branches. The articles cover both recent results and exciting directions for future research.
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Inside This Book
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Key Phrases - Statistically Improbable Phrases (SIPs):
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zonoid equation, affine surface area, perimeter bisecting chords, polar intersection body, area bisecting chord, chord power integrals, centroid inequality, generalized zonoid, covariant valuations, flag curvature, parallel chord movements, dual mixed volumes, affine isoperimetric inequalities, entropy power inequality, smooth convex bodies, generalized maximum principle, random polytopes, radial addition, invariant valuation, centroid bodies, kinematic formula, strictly convex body, geometric tomography, valued valuations, kinematic measure Key Phrases - Capitalized Phrases (CAPs): (learn more)
Differential Geom, New York, Delin Ren, Alvarez Paiva, China E-mail, Lecture Notes, Duke Math, The Brunn-Minkowski-Firey, Encyclopedia of Math, Journal of Approximation Theory, World Scientific, Hardmard Cartan, Studia Math, Combining Theorem, Forum Math, Indiana Univ, Korean Math, Leipzig Math, National Science Foundation, Pura Appl, Ren Delin, Rocky Mountain, Saint Raymond New!
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zonoid equation, affine surface area, perimeter bisecting chords, polar intersection body, area bisecting chord, chord power integrals, centroid inequality, generalized zonoid, covariant valuations, flag curvature, parallel chord movements, dual mixed volumes, affine isoperimetric inequalities, entropy power inequality, smooth convex bodies, generalized maximum principle, random polytopes, radial addition, invariant valuation, centroid bodies, kinematic formula, strictly convex body, geometric tomography, valued valuations, kinematic measure Key Phrases - Capitalized Phrases (CAPs): (learn more)
Differential Geom, New York, Delin Ren, Alvarez Paiva, China E-mail, Lecture Notes, Duke Math, The Brunn-Minkowski-Firey, Encyclopedia of Math, Journal of Approximation Theory, World Scientific, Hardmard Cartan, Studia Math, Combining Theorem, Forum Math, Indiana Univ, Korean Math, Leipzig Math, National Science Foundation, Pura Appl, Ren Delin, Rocky Mountain, Saint Raymond New!
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Front Cover | Table of Contents | First Pages | Back Cover | Surprise Me!
Citations (learn more)
This book cites 25
books:
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- Geometric Tomography (Encyclopedia of Mathematics and its Applications) by Richard J. Gardner on 5 pages
- Integral Geometry and Geometric Probability (Cambridge Mathematical Library) by Luis A. Santaló on page 167, page 188, and page 226
- Convex Bodies: The Brunn-Minkowski Theory (Encyclopedia of Mathematics and its Applications) by Rolf Schneider on page 97, and page 167
- Convexity and Its Applications by Peter M. Gruber on page 97, and page 139
- Riemann-Finsler Geometry (Nankai Tracts in Mathematics) by Shiing-Shen Chern on page 96, and page 175
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