Spread-out percolation in ℝd

Random Structures and Algorithms

Volumn 31, Issue 2, 2007, Pages 239-246

  Bollobás, Béla ^a,c   Janson, Svante ^b   Riordan, Oliver ^c  

^a University of Memphis

^b UPPSALA UNIVERSITY   (Sweden)

^c UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

Inhomogeneous; Percolation; Random graphs

Indexed keywords

EID: 34548531218     PISSN: 10429832     EISSN: 10982418     Source Type: Journal    
DOI: 10.1002/rsa.20175     Document Type: Article

References (9)

1. P. Balister, B. Bollobás, and M. Walters, Continuum percolation with steps in an annulus, Ann Appl Probab 14 (2004), 1869-1879.
2. P. Balister, B. Bollobás, and M. Walters, Continuum percolation with steps in the square or the disc, Random Struct Alg 26 (2005), 392-403.
3. B. Bollobás, S. Janson, and O. Riordan, The phase transition in inhomogeneous random graphs. Preprint available from http://www.arxiv.org/abs/ math.PR/0504589
4. B. Bollobás and Y. Kohayakawa, A note on long-range percolation, Graph theory, combinatorics, and algorithms, (Kalamazoo, MI, 1992), Wiley-Intersci Publ (1995), 97-113.
5. M. Franceschetti, L. Booth, M. Cook, R. Meester, and J. Bruck, Continuum percolation with unreliable and spread-out connections, J Statistical Physics 118 (2005), 721-734.
6. T. M. Liggett, R. H. Schonmann, and A. M. Stacey, Domination by product measures, Ann Probab 25 (1997), 71-95.
7. R. Meester, M. D. Penrose, and A. Sarkar, The random connection model in high dimensions, Statistics Probability Letters 35 (1997), 145-153.
8. M. D. Penrose, On the spread-out limit for bond and continuum percolation, Ann App Probab 3 (1993), 253-276.
9. A. Pisztora, Surface order large deviations for Ising, Potts and percolation models, Probab Theory Related Fields 104 (1996), 427-466.