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Random mosaics with cells of general topology

Published online by Cambridge University Press:  01 July 2016

Richard Cowan
Affiliation:
The University of Hong Kong
Albert K. L. Tsang
Affiliation:
The University of Hong Kong

Extract

This paper considers a structure, named a ‘random partition process’, which is a generalisation of a random tessellation. The cells, possibly multi-part and with holes, have a general topology summarised by the Euler characteristic. Vertices of all orders are allowed. Using the tools of ergodic theory, all of the formulae, from the traditional theory of random tessellations with convex cells, are generalised. Some motivating examples are given.

Type
Stochastic Geometry and Statistical Applications
Copyright
Copyright © Applied Probability Trust 1996 

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