STIT Tessellations -- Ergodic Limit Theorems and Bounds for the Speed of Convergence
Probability
2016-09-06 v1
Abstract
We consider homogeneous STIT tessellations in the -dimensional Euclidean space . Based on results for the spatial -mixing coefficient an upper bound for the variance of additive functionals of tessellations is derived, using results by Yoshihara and Heinrich. Moreover, ergodic theorems are applied to subadditive functionals.
Cite
@article{arxiv.1609.01138,
title = {STIT Tessellations -- Ergodic Limit Theorems and Bounds for the Speed of Convergence},
author = {Servet Martínez and Werner Nagel},
journal= {arXiv preprint arXiv:1609.01138},
year = {2016}
}