The random connection model in high dimensions

Statistics and Probability Letters

Volumn 35, Issue 2, 1997, Pages 145-153

  Meester, Ronald ^a   Penrose, Mathew D ^b   Sarkar, Anish ^c  

^a UTRECHT UNIVERSITY   (Netherlands)

^b DURHAM UNIVERSITY   (United Kingdom)

^c INDIAN STATISTICAL INSTITUTE   (India)

Author keywords

Continuum percolation; Critical value; High dimensions

Indexed keywords

EID: 0031591909     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0167-7152(97)00008-4     Document Type: Article

References (8)

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2. Hara, T. and G. Slade (1994), Mean field behavior and the lace expansion, in: G. Grimmett, ed., Probability Theory and Phase Transitions, Nato ASI series C, Vol. 420 (Kluwer, Dordrecht).
3. Kesten, H. (1991), Asymptotics in high dimensions for percolation, in: G.R. Grimmett and D.J.A. Welsh, eds., Disorder in Physical Systems: a Volume in Honour of J.M. Hammersley (Clarendon Press, Oxford).
4. Meester, R. (1995), Equality of critical densities in continuum percolation, J. Appl. Probab. 32, 90-104.
5. Meester, R. and R. Roy (1996), Continuum Percolation (Cambridge Univ. Press, Cambridge).
6. Penrose, M.D. (1991), On a continuum percolation model, Adv. Appl. Probab. 23, 536-556.
7. Penrose, M.D. (1993), On the spread-out limit for bond and continuum percolation, Ann. Appl. Probab. 3, 253-276.
8. Penrose, M.D. (1996), Continuum percolation and Euclidean minimal spanning trees in high dimensions, Annals App. Prob. 6, 528-544.