Variational limit of a one-dimensional discrete and statistically homogeneous system of material points

Authors
Iosifescu, O Licht, C Michaille, G
Citation
O. Iosifescu et al., Variational limit of a one-dimensional discrete and statistically homogeneous system of material points, CR AC S I, 332(6), 2001, pp. 575-580
Citations number
4
Categorie Soggetti
Mathematics
Journal title
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE
ISSN journal
07644442 → ACNP
Volume
332
Issue
6
Year of publication
2001
Pages
575 - 580
Database
ISI
SICI code
0764-4442(20010315)332:6<575:VLOAOD>2.0.ZU;2-S
Abstract
The energy of a discrete system of material points situated at random on a line and subjected to nearest-neighbor interactions, almost surely converge s in a variational sense to a deterministic energy defined on spaces of fun ctions with bounded variation. (C) 2001 Academie des sciences/Editions scie ntifiques et medicales Elsevier SAS.