EULER CHARACTERISTIC AND RELATED MEASURES FOR RANDOM GEOMETRIC SETS

被引：123
|
作者：
MECKE, KR
WAGNER, H
机构：
[1] Sektion Physik der Universität München, München 2
来源：
JOURNAL OF STATISTICAL PHYSICS | 1991年 / 64卷 / 3-4期
关键词：
RANDOM SETS; INTEGRAL GEOMETRY; MINKOWSKI FUNCTIONALS; EULER CHARACTERISTIC; CONTINUUM PERCOLATION;
D O I：
10.1007/BF01048319
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
By an elementary calculation we obtain the exact mean values of Minkowksi functionals for a standard model of percolating sets. In particular, a recurrence theorem for the mean Euler characteristic recently put forward is shown to be incorrect. Related previous mathematical work is mentioned. We also conjecture bounds for the threshold density of continuum percolation, which are associated with the Euler characteristic.
引用
收藏
页码：843 / 850
页数：8
相关论文
共 50 条
12345