In this paper we develop a general theory which provides a unified treatment of two apparently different problems. The weak Gibbs property of measures arising from the application of Renormalization Group maps and the mixing properties of disordered lattice systems in the Griffiths' phase. We suppose that the system satisfies a mixing condition in a subset of the lattice whose complement is sparse enough namely, large regions are widely separated. We then show how it is possible to construct a convergent multi-scale cluster expansion.
Bertini, L., Cirillo, E., & Olivieri, E. (2005). Graded cluster expansion for lattice systems. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 258(2), 405-443.
Tipologia: | Articolo su rivista |
Citazione: | Bertini, L., Cirillo, E., & Olivieri, E. (2005). Graded cluster expansion for lattice systems. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 258(2), 405-443. |
Lingua: | English |
Settore Scientifico Disciplinare: | Settore MAT/07 - Fisica Matematica |
Revisione (peer review): | Sì, ma tipo non specificato |
Tipo: | Articolo |
Rilevanza: | Rilevanza internazionale |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1007/s00220-005-1360-3 |
Stato di pubblicazione: | Pubblicato |
Data di pubblicazione: | 2005 |
Titolo: | Graded cluster expansion for lattice systems |
Autori: | |
Autori: | Bertini, L; Cirillo, ENM; Olivieri, E |
Appare nelle tipologie: | 01 - Articolo su rivista |