Geodesic
Entropic repulsion on a rarefied wall
Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AC, Discrete Random Walks (DRW'03), DMTCS Proceedings vol. AC, Discrete Random Walks (DRW'03) (2003).

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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. 
@article{DMTCS_2003_special_248_a30,
     author = {Fontes, L. R. G. and Vachkovskaia, M. and Yambartsev, A.},
     title = {Entropic repulsion on a rarefied wall},
     journal = {Discrete mathematics & theoretical computer science},
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     volume = {DMTCS Proceedings vol. AC, Discrete Random Walks (DRW'03)},
     year = {2003},
     doi = {10.46298/dmtcs.3350},
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     url = {http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.3350/}
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Fontes, L. R. G.; Vachkovskaia, M.; Yambartsev, A. Entropic repulsion on a rarefied wall. Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AC, Discrete Random Walks (DRW'03), DMTCS Proceedings vol. AC, Discrete Random Walks (DRW'03) (2003). doi : 10.46298/dmtcs.3350. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.3350/

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