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Zbl 1087.60520
Fontes, L.R.G.; Vachkovskaia, M.; Yambartsev, A.
Repulsion of an evolving surface on walls with random heights. (English)
[J] Ann. Inst. Henri Poincaré, Probab. Stat. 42, No. 2, 207-213 (2006). ISSN 0246-0203

Summary: We consider the motion of a discrete random surface interacting by exclusion with a random wall. The heights of the wall at the sites of $\Bbb Z^{d}$ are i.i.d. random variables. Fixed the wall configuration, the dynamics is given by the serial harness process which is not allowed to go below the wall. We study the effect of the distribution of the wall heights on the repulsion speed.

MSC 2000:: *60K35 Interacting random processes
82C41 Dynamics of random walks, etc.

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