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Proceedings of the International Conference Integral Geometry and Convexity : Wuhan, China, 18-23 October 2004 / editors, Eric L. Grinberg ... [et al.].
- Format:
- Book
- Conference/Event
- Author/Creator:
- International Conference Integral Geometry and Convexity, Corporate Author.
- Conference Name:
- International Conference Integral Geometry and Convexity (1st : 2004 : Wuhan, China)
- International Conference Integral Geometry and Convexity
- Language:
- English
- Subjects (All):
- Integral geometry--Congresses.
- Integral geometry.
- Convex domains--Congresses.
- Convex domains.
- Physical Description:
- 1 online resource (238 p.)
- Edition:
- 1st ed.
- Other Title:
- Integral geometry and convexity
- Place of Publication:
- Singapore ; Hackensack, N.J. : World Scientific, c2006.
- Language Note:
- English
- Summary:
- 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.
- Contents:
- Preface
- Foreword
- Volume inequalities for sets associated with convex bodies / Stefano Campi and Paolo Gronchi
- Integral geometry and Alesker's theory of valuations / Joseph H. G. Fu
- Area and perimeter bisectors of planar convex sets / Paul Goodey
- Radon inversion: from lines to Grassmannians / Eric Grinberg
- Valuations in the affine geometry of convex bodies / Monika Ludwig
- Crofton measures in projective Finsler spaces / Rolf Schneider
- Random methods in approximation of convex bodies / Carsten Sch�utt
- Some generalized maximum principles and their applications to Chern type problems / Young Jin Suh
- Floating bodies and illumination bodies / Elisabeth Werner
- Applications of information theory to convex geometry / Deane Yang
- Containment measures in integral geometry / Gaoyong Zhang and Jiazu Zhou
- On the flag curvature and S-curvature in Finsler geometry / Xinyue Cheng
- Double chord-power integrals of a convex body and their applications / Peng Xie and Jun Jiang
- Lp dual Brunn-Minkowski type inequalities / Chang-jian Zhao and Gang-song Leng
- On the relations of a convex set and its profile / Shougui Li and Yicheng Gong
- Convex bodies with symmetric X-rays in two directions / Deyi Li and Ge Xiong
- The kinematic measure of a random line segment of fixed length within a trapezoid / Fengfan Xie and Deyi Li.
- Notes:
- Bibliographic Level Mode of Issuance: Monograph
- Includes bibliographical references.
- ISBN:
- 9786611919603
- 9781281919601
- 1281919608
- 9789812774644
- 9812774645
- OCLC:
- 614463204
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