3 papers
math.PR2026
The localized phase of pinning models with correlated Gaussian disorder
Giambattista Giacomin, Alexandre Legrand, Marco Zamparo
We show that most of the results proven in the localized regime of the pinning model with independent disorder (notably, regularity of the free energy, size of…
math.PR2025
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…
math.PR2025
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.…