Averaging of multifractals

Research output: Contribution to journalArticlepeer-review

12 Scopus citations

Abstract

Averages of multifractal moments over random structures (e.g., percolation clusters) may be dominated, in some limits, by a rare subset of these structures. This may yield atypical results, contrary to the usual expectations from average quantities. These effects are demonstrated by discussions of the distribution of currents in dilute resistor networks, of the resistance of nonlinear resistor networks, and of self-avoiding walks on percolating clusters.

Original languageEnglish
Pages (from-to)596-600
Number of pages5
JournalPhysical Review A
Volume37
Issue number2
DOIs
StatePublished - 1 Jan 1988
Externally publishedYes

Fingerprint

Dive into the research topics of 'Averaging of multifractals'. Together they form a unique fingerprint.

Cite this