Critical intensities of Boolean models with different underlying convex shapes

Advances in Applied Probability

Volumn 34, Issue 1, 2002, Pages 48-57

  Roy, Rahul ^a   Tanemura, Hideki ^a  

^a INDIAN STATISTICAL INSTITUTE   (India)

Author keywords

Boolean model; Critical intensity; Percolation; Poisson process

Indexed keywords

BOOLEAN ALGEBRA; MATHEMATICAL MODELS; POISSON DISTRIBUTION; THEOREM PROVING;

POISSON BOOLEAN MODELS;

COMPUTATIONAL GEOMETRY;

EID: 0036508739     PISSN: 00018678     EISSN: None     Source Type: Journal    
DOI: 10.1239/aap/1019160949     Document Type: Article

References (9)

1. Strict monotonicity for critical points in percolation and ferromagnetic models
2. On continuum percolation
3. Optimization of shape in continuum percolation
4. Non-universality and continuity of the critical covered volume fraction
5. Co-existence of the occupied and vacant phase in Boolean models in three or more dimensions
6. Scaling and power laws