### Entropic repulsion on a rarefied wall

*L. R. G. Fontes, M. Vachkovskaia, A. Yambartsev*

#### Abstract

We consider the motion of a discrete d-dimensional random surface interacting by exclusion with a rarefied wall. The dynamics is given by the serial harness process. We prove that the process delocalizes iff the mean number of visits to the set of sites where the wall is present by some random walk is infinite. In case where there is a delocalization, bounds on its speed are obtained.

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