Limit theorem and large deviation principle for the Voronoi tessellation generated by a Gibbs point process

Authors
Kuroda, Koji Tanemura, Hideki
Citation
Kuroda, Koji et Tanemura, Hideki, Limit theorem and large deviation principle for the Voronoi tessellation generated by a Gibbs point process, Advances in applied probability , 24(1), 1992, pp. 45-70
Journal title
Advances in applied probability → ACNP
ISSN journal
00018678
Volume
24
Issue
1
Year of publication
1992
Pages
45 - 70
Database
ACNP
SICI code
Abstract
The Voronoi tessellation generated by a Gibbs point process is considered. Using the algebraic formalism of polymer expansion, the limit theorem and the large deviation principle for the number of Voronoi vertices are proved.