Interdependences of directional quantities of planar tessellations
- 1 March 1999
- journal article
- stochastic geometry-and-statistical-applications
- Published by Cambridge University Press (CUP) in Advances in Applied Probability
- Vol. 31 (03) , 664-678
- https://doi.org/10.1017/s0001867800009356
Abstract
For random planar stationary tessellations a parameter system of three mean values and two directional distributions of the edges is considered. To investigate the interdependences between these parameters their joint range is described, i.e. the set of values which can be realized by tessellations. The constructive proof is based on mixtures of stationary regular tessellations. To explore the range for the class of stationary ergodic tessellations a procedure is used which we refer to as iteration.Keywords
This publication has 2 references indexed in Scilit:
- Factorization Calculus and Geometric ProbabilityPublished by Cambridge University Press (CUP) ,1990
- The range of the mean-value quantities of planar tessellationsJournal of Applied Probability, 1987