Hostname: page-component-cd9895bd7-q99xh Total loading time: 0 Render date: 2024-12-29T05:27:12.592Z Has data issue: false hasContentIssue false
  • English
  • Français

Random mosaics with cells of general topology

Published online by Cambridge University Press:  01 July 2016

Richard Cowan  and
Albert K. L. Tsang
Richard Cowan
Affiliation:
The University of Hong Kong
Albert K. L. Tsang
Affiliation:
The University of Hong Kong
Get access Rights & Permissions [Opens in a new window]

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
Information
Advances in Applied Probability , Volume 28 , Issue 2 , June 1996 , pp. 332
Copyright
Copyright © Applied Probability Trust 1996 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)