5 papers
Random interlacements on transient weighted graphs: 0-1 laws and FKG inequality
Orphée Collin
We study some properties of the random interlacement model on a transient weighted graph, which was introduced by A. Teixeira in ["Interlacement percolation on transient weighted g…
Further results on the free energy of the random field Ising chain in the case of centered disorder
Orphée Collin
We study the expansion of the limiting free energy density of the random field Ising chain with centered IID disorder and homogeneous coupling parameter, when the latter goes to in…
On the Lyapunov exponent for the random field Ising transfer matrix, in the critical case
Orphée Collin, Giambattista Giacomin, Rafael L. Greenblatt +1
We study the top Lyapunov exponent of a product of random matrices appearing in the analysis of several statistical mechanical models with disorder, extending a previo…
On the shape of the connected components of the complement of two-dimensional Brownian random interlacements
Orphée Collin, Serguei Popov
We study the limiting shape of the connected components of the vacant set of two-dimensional Brownian random interlacements: we prove that the connected component around is clo…
The random field Ising chain domain-wall structure in the large interaction limit
Orphée Collin, Giambattista Giacomin, Yueyun Hu
We study the configurations of the nearest neighbor Ising ferromagnetic chain with IID centered and square integrable external random field in the limit in which the pairwise inter…