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Inner contact probabilities for convex bodies

Published online by Cambridge University Press:  01 July 2016

Wolfgang Weil*
Affiliation:
Universität Karlsruhe
*
Postal address: Mathematisches Institut II, Universität Karlsruhe, Englerstrasse 2, 7500 Karlsruhe 1, West Germany.

Abstract

Let K and L be convex bodies in where L can roll freely in K. Suppose that Borel sets are painted in the boundaries of K and L. The probability that after a random rolling of L in K the contact is paint-to-paint is determined and expressed by curvature measures of K and L.

Type
Research Article
Copyright
Copyright © Applied Probability Trust 1982 

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