Effective conductivity of homogeneous random sets
type: Item
instance of: scholarly article
title: Effective conductivity of homogeneous random sets
zbMATH Open document ID: 0688.60075
DOI: 10.1007/BF01158889
published in: Mathematical Notes
publication date: 1989-01-01T00:00:00Z
review text: Some rigorous results in percolation theory are proved. For translation- invariant random subsets of \(R^ d\), constructed using an ergodic dynamical system, the effective conductivity in the infinite volume is defined. Its existence is proved. In some special cases of Bernoulli percolation models, the singularity of the effective conductivity is shown and related to the critical parameter value at which percolation occurs. Some estimates of the conductivity at the critical value are found.
Mathematics Subject Classification ID: 60K35
Mathematics Subject Classification ID: 82B43
zbMATH DE Number: 4128209
zbMATH Keywords: percolation theory
zbMATH Keywords: Bernoulli percolation models
zbMATH Keywords: effective conductivity
zbMATH Keywords: conductivity at the critical value
author: V. V. Zhikov
reviewed by: Petr Holický
MaRDI profile type: Publication
cites work: Q3672870
cites work: Q3854075
cites work: Q3746966
cites work: Estimates for the trace of the averaged matrix
full work available at URL: https://doi.org/10.1007/bf01158889
OpenAlex ID: W2000533076
description: scientific article; zbMATH DE number 4128209