4 papers · 1 filter
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…
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.…
Quenched large deviations in renewal theory
Frank den Hollander, Marco Zamparo
In this paper we introduce and study renewal-reward processes in random environments where each renewal involves a reward taking values in a Banach space. We derive quenched large…