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  1. Home > Articles & Issues >
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  3. Entropic repulsion o ...
Conference paper

Entropic repulsion on a rarefied wall

L. R. G. Fontes (1) (2), M. Vachkovskaia (3), A. Yambartsev ORCID (1) (2)
(1) Instituto de Matemática e Estatística
(2) Instituto de Matemática, Estatística e Ciência da Computação [Universidade de São Paulo]
(3) Computer Systems Laboratory [Campinas]
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Imported on
May 10, 2017
Published on
December 31, 2002
Last modified on
March 31, 2025
Volume 0
DMTCS Proceedings vol. AC, Discrete Random Walks (DRW'03)
Proceedings
DOI
10.46298/dmtcs.3350
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https://about.hal.science/hal-authorisation-v1
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Entropic repulsion on a rarefied wall

L. R. G. Fontes (1) (2), M. Vachkovskaia (3), A. Yambartsev ORCID (1) (2)
(1) Instituto de Matemática e Estatística
(2) Instituto de Matemática, Estatística e Ciência da Computação [Universidade de São Paulo]
(3) Computer Systems Laboratory [Campinas]
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.
Keywords
  • [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]
  • harness process
  • surface dynamics
  • entropic repulsion
  • random environment
Cited by

Source: OpenCitations

  • Repulsion of an evolving surface on walls with random heights

    LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Científicas)

    Authors : L FONTES ORCID, M VACHKOVSKAIA ORCID, A YAMBARTSEV ORCID

    Journal reference : Volume 42, 2005, pp. 207-213

    DOI : 10.1016/j.anihpb.2005.03.003
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