The following text field will produce suggestions that follow it as you type.

Measures of Symmetry for Convex Sets and Stability
Measures of Symmetry for Convex Sets and Stability

Measures of Symmetry for Convex Sets and Stability

Current price: $69.99
Loading Inventory...
Get it at Barnes and Noble

Size: Paperback

Get it at Barnes and Noble
The presentation includes: a basic course covering foundational notions in convex geometry, the three pillars of the combinatorial theory (the theorems of Carathéodory, Radon, and Helly), critical sets and Minkowski measure, the Minkowski–Radon inequality, and, to illustrate the general theory, a study of convex bodies of constant width; two proofs of F. John’s ellipsoid theorem; a treatment of the stability of Minkowski measure, the Banach–Mazur metric, and Groemer’s stability estimate for the Brunn–Minkowski inequality; important specializations of Grünbaum’s abstract measure of symmetry, such as Winternitz measure, the Rogers–Shepard volume ratio, and Guo’s -Minkowski measure; a construction by the author of a new sequence of measures of symmetry, the th mean Minkowski measure; and lastly, an intriguing application to the moduli space of certain distinguished maps from a Riemannian homogeneous space to
Powered by Adeptmind