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Shapes of prisms after repeated random division

Published online by Cambridge University Press:  01 July 2016

Richard Cowan
Richard Cowan*
Affiliation:
The University of Hong Kong
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Extract

The shape of a rectangular prism in (d + 1) dimensions can be described by d quantities. In this talk, using a definition of shape which involves the ratios of edge lengths, we investigate shape distributions which are invariant when the prism is cut into two, also rectangular, prisms, with one prism retained for measurement and the other discarded. Interesting new distributions on [0, l]d arise.

Type
Stochastic Geometry and Statistical Applications
Information
Advances in Applied Probability , Volume 28 , Issue 2 , June 1996 , pp. 331
Copyright
Copyright © Applied Probability Trust 1996 

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