# Localization, Big-Jump Regime and the Effect of Disorder for a Class of Generalized Pinning Models

@article{Giacomin2020LocalizationBR, title={Localization, Big-Jump Regime and the Effect of Disorder for a Class of Generalized Pinning Models}, author={Giambattista Giacomin and Benjamin Havret}, journal={Journal of Statistical Physics}, year={2020}, volume={181}, pages={2015 - 2049} }

One dimensional pinning models have been widely studied in the physical and mathematical literature, also in presence of disorder. Roughly speaking, they undergo a transition between a delocalized phase and a localized one. In mathematical terms these models are obtained by modifying the distribution of a discrete renewal process via a Boltzmann factor with an energy that contains only one body potentials. For some more complex models, notably pinning models based on higher dimensional renewals…

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