publication . Preprint . Article . 2015

DISTRIBUTIONS OF SECTIONS AND PROJECTIONS

Jaegil Kim; Vladyslav Yaskin; Artem Zvavitch;
Open Access English
  • Published: 22 Dec 2015
Abstract
Typically, when we are given the section (or projection) function of a convex body, it means that in each direction we know the size of the central section (or projection) perpendicular to this direction. Suppose now that we can only get the information about the sizes of sections (or projections), and not about the corresponding directions. In this paper we study to what extent the distribution function of the areas of central sections (or projections) of a convex body can be used to derive some information about the body, its volume, etc.
Subjects
free text keywords: Mathematics - Metric Geometry, Mathematics, Distribution function, Regular polygon, Mathematical analysis
Funded by
NSF| Harmonic Analysis in Convex Geometry
Project
  • Funder: National Science Foundation (NSF)
  • Project Code: 1101636
  • Funding stream: Directorate for Mathematical & Physical Sciences | Division of Mathematical Sciences
,
NSERC
Project
  • Funder: Natural Sciences and Engineering Research Council of Canada (NSERC)
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publication . Preprint . Article . 2015

DISTRIBUTIONS OF SECTIONS AND PROJECTIONS

Jaegil Kim; Vladyslav Yaskin; Artem Zvavitch;