77 citations · 140 across the 9 of their papers we have counts for
4 papers · 1 filter
A combinatorial proof of tree decay of semi-invariants
L. Bertini, Emilio N. M. Cirillo, E. Olivieri
We consider finite range Gibbs fields and provide a purely combinatorial proof of the exponential tree decay of semi--invariants, supposing that the logarithm of the partition func…
Gibbsian properties and convergence of the iterates for the Block Averaging Transformation
L. Bertini, Emilio N. M. Cirillo, E. Olivieri
We analyze the Block Averaging Transformation applied to the two--dimensional Ising model in the uniqueness region. We discuss the Gibbs property of the renormalized measure and th…
Graded cluster expansion for lattice systems
L. Bertini, Emilio N. M. Cirillo, E. Olivieri
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…
Perturbative analysis of disordered Ising models close to criticality
L. Bertini, Emilio N. M. Cirillo, E. Olivieri
We consider a two-dimensional Ising model with random i.i.d. nearest-neighbor ferromagnetic couplings and no external magnetic field. We show that, if the probability of supercriti…