eng
episciences.org
Discrete Mathematics & Theoretical Computer Science
1365-8050
2003-01-01
DMTCS Proceedings vol. AC,...
Proceedings
10.46298/dmtcs.3350
3350
journal article
Entropic repulsion on a rarefied wall
L. R. G. Fontes
M. Vachkovskaia
A. Yambartsev
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.
https://dmtcs.episciences.org/3350/pdf
harness process
surface dynamics
entropic repulsion
random environment
[INFO.INFO-DS] Computer Science [cs]/Data Structures and Algorithms [cs.DS]
[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]
[MATH.MATH-CO] Mathematics [math]/Combinatorics [math.CO]
[INFO.INFO-CG] Computer Science [cs]/Computational Geometry [cs.CG]