Optimization of shape in continuum percolation

Annals of Probability

Volumn 29, Issue 2, 2001, Pages 624-635

  Jonasson, Johan ^a  

^a CHALMERS UNIVERSITY OF TECHNOLOGY   (Sweden)

Author keywords

Boolean model; Centrally symmetric set; Convex set; Difference body; Poisson process; Triangle

Indexed keywords

EID: 0035537285     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/aop/1008956687     Document Type: Article

References (4)

1. MEESTER, R. and ROY, R. (1996). Continuum Percolation. Cambridge Univ. Press.
2. MEESTER, R., ROY, R. and SARKAR, A. (1994). Non-universality and continuity of the critical volume fraction in continuum percolation. J. Statist. Phys. 75 123-134.
3. ROGERS, C. A. and SHEPARD, G. C. (1957). The difference-body of a convex body. Arch. Math. 8 220-233.
4. SCHNEIDER, R. (1993). Convex Bodies: The Brunn-Minkowski Theory. Cambridge Univ. Press.