Measures of Symmetry for Convex Sets and Stability

• Main Author: Toth, Gabor (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Edition: 1st ed. 2015.
• Series: Universitext,
• Subjects: Mathematics.; Convex geometry.; Discrete geometry.; Convex and Discrete Geometry.

This textbook treats two important and related matters in convex geometry: the quantification of symmetry of a convex set—measures of symmetry—and the degree to which convex sets that nearly minimize such measures of symmetry are themselves nearly symmetric—the phenomenon of stability. By gathering...

Table of Contents:

• First Things First on Convex Sets
• Affine Diameters and the Critical Set
• Measures of Stability and Symmetry
• Mean Minkowski Measures.