In a preceding note the pointwise ergodic theorem for cocycle of degree 2 of a Z3 action has been proved under the hypothesis of Lp integrability for one p> 2. We prove here that the current through surfaces in a random electrical network defines a cocycle of degree 2, to which this theorem can be applied.
Publié le : 1999-03-05
Classification:
milieu aléatoire,
réseau aléatoire,
28D05,(60F15),
[MATH.MATH-PR]Mathematics [math]/Probability [math.PR]
@article{hal-00336602,
author = {Depauw, J\'er\^ome},
title = {Flux moyen d'un courant \'electrique dans un r\'eseau al\'eatoire stationnaire de r\'esistances},
journal = {HAL},
volume = {1999},
number = {0},
year = {1999},
language = {fr},
url = {http://dml.mathdoc.fr/item/hal-00336602}
}
Depauw, Jérôme. Flux moyen d'un courant électrique dans un réseau aléatoire stationnaire de résistances. HAL, Tome 1999 (1999) no. 0, . http://gdmltest.u-ga.fr/item/hal-00336602/