INVESTIGADORES
FERRARI pablo Augusto
artículos
Título:
Gibbs random graphs on point processes.
Autor/es:
PABLO A. FERRARI; EUGENE A. PECHERSKY; VALENTIN V. SISKO; ANATOLI YAMBARTSEV
Revista:
JOURNAL OF MATHEMATICAL PHYSICS
Editorial:
AMER INST PHYSICS
Referencias:
Lugar: Davis; Año: 2010 vol. 51 p. 113303 - 113310
ISSN:
0022-2488
Resumen:
Consider a discrete locally finite subset G of Rd and the complete graph (G, E), with vertices G and edges E. We consider Gibbs measures on the set of sub-graphs with vertices G and edges E´ ⊂ 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 G is sampled from a homogeneous Poisson process; and (b) for a fixed G with sufficiently sparse points.
