308 citations · 1.2k across the 52 of their papers we have counts for
58 papers
The localized phase of pinning models with correlated Gaussian disorder
Giambattista Giacomin, Alexandre Legrand, Marco Zamparo
We demonstrate that the results established for the localized regime of the pinning model with independent disorder -- notably the regularity of the free energ…
Pinning models with contact number constraint: the effect of disorder
Giambattista Giacomin, Marco Zamparo
Disordered pinning models are statistical mechanics models built on discrete renewal processes: renewal epochs in this context are called contacts. It is well known that pinning mo…
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…
Concentration and fluctuation phenomena in the localized phase of the pinning model
Giambattista Giacomin, Marco Zamparo
We focus on the localized phase of pinning models with i.i.d. site disorder on which we assume only that the moment generating function is bounded in a neighborhood of the origin.…
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…
Infinite disorder renormalization fixed point for the continuum random field Ising chain
Orphée Collin, Giambattista Giacomin, Yueyun Hu
We consider the continuum version of the random field Ising model in one dimension: this model arises naturally as weak disorder scaling limit of the original Ising model. Like for…