Mean flow of an electric current in a stationary random network of resistances. (Q1291156)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Mean flow of an electric current in a stationary random network of resistances. |
scientific article; zbMATH DE number 1295510
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Mean flow of an electric current in a stationary random network of resistances. |
scientific article; zbMATH DE number 1295510 |
Statements
Mean flow of an electric current in a stationary random network of resistances. (English)
0 references
17 August 2000
0 references
This paper deals with a pointwise ergodic theorem for a cocycle of degree 2 of a \(\mathbb{Z}^3\) action. The author's previous results [C. R. Acad. Sci., Paris, Sér. I Math. 325, 87-90 (1997; Zbl 0895.60001)] took into account \(L^p\) integrability, \(p>2\). Here the author proves that the current flow through surfaces in a stationary random electrical network defines a cocycle of degree 2, to which the above mentioned argument can be applied.
0 references
pointwise ergodic theorem
0 references
cocycle of degree 2
0 references
random electrical network
0 references
