77 citations · 140 across the 9 of their papers we have counts for
9 papers
Droplet dynamics in a two-dimensional rarefied gas under Kawasaki dynamics
Simone Baldassarri, Alexandre Gaudillière, Frank den Hollander +3
This is the second in a series of three papers in which we study a lattice gas subject to Kawasaki conservative dynamics at inverse temperature in a large finite box $Λ_β\sub…
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…
Renormalization Group Transformations under strong mixing conditions: gibbsianess and convergence of renormalized interactions
L. Bertini, E. N. M. Cirillo, E. Olivieri
In this paper we study a renormalization-group map: the block averaging transformation applied to Gibbs measures relative to a class of finite range lattice gases, when suitable st…
Renormalization-group at criticality and complete analyticity of constrained models: a numerical study
Emilio N. M. Cirillo, E. Olivieri
We study the majority rule transformation applied to the Gibbs measure for the 2--D Ising model at the critical point. The aim is to show that the renormalized hamiltonian is well…
Metastability and Nucleation for the Blume-Capel Model. Different mechanisms of transition
Emilio N. M. Cirillo, Enzo Olivieri
We study metastability and nucleation for the Blume-Capel model: a ferromagnetic nearest neighbour two-dimensional lattice system with spin variables taking values in -1,0,+1. We c…
Some Numerical Results on the Block Spin Transformation for the 2D Ising Model at the Critical Point
G. Benfatto, E. Marinari, E. Olivieri
We study the block spin transformation for the 2D Ising model at the critical temperature . We consider the model with the constraint that the total spin in each block is zero…