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Inner contact probabilities for convex bodies

Published online by Cambridge University Press:  01 July 2016

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

Keywords

CONTACT PROBABILITYCONVEX BODIESCURVATURE MEASURESKINEMATIC INTEGRAL FORMULA

Information

Type
Research Article
Information
Advances in Applied Probability , Volume 14 , Issue 3 , September 1982 , pp. 582 - 599
Copyright
Copyright © Applied Probability Trust 1982 

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