| Full text | |
| Author(s): |
Ferrari, Pablo A.
[1]
;
Pechersky, Eugene A.
[2]
;
Sisko, Valentin V.
[3]
;
Yambartsev, Anatoly A.
[4]
Total Authors: 4
|
| Affiliation: | [1] Univ Buenos Aires. Fac Ciencias Exactas & Nat
[2] Russian Acad Sci. Inst Informat Transmiss Problems
[3] Univ Fed Fluminense. Inst Matemat & Stat
[4] Univ Sao Paulo. Dept Stat
Total Affiliations: 4
|
| Document type: | Journal article |
| Source: | Journal of Mathematical Physics; v. 51, n. 11 NOV 2010. |
| Web of Science Citations: | 0 |
| Abstract | |
Consider a discrete locally finite subset Gamma of R(d) and the cornplete graph (Gamma, E), with vertices Gamma and edges E. We consider Gibbs measures on the set of sub-graphs with vertices Gamma and edges E` subset of E. The Gibbs interaction acts between open edges having a vertex in common. We study percolation properties of the Gibbs distribution of the graph ensemble. The main results concern percolation properties of the open edges in two cases: (a) when Gamma is sampled from a homogeneous Poisson process; and (b) for a fixed Gamma with sufficiently sparse points. (c) 2010 American Institute of Physics. {[}doi:10.1063/1.3514605] (AU) | |
| FAPESP's process: | 99/11962-9 - Critical Phenomena in envolving processes and equilibrium systems |
| Grantee: | Pablo Augusto Ferrari |
| Support Opportunities: | Research Projects - Thematic Grants |