Sign-singular measures: Fast magnetic dynamos, and high-Reynolds-number fluid turbulence

Edward Ott, Yunson Du, K. R. Sreenivasan, A. Juneja, A. K. Suri

Research output: Contribution to journalArticlepeer-review

Abstract

It is shown that signed measures (i.e., measures that take on both positive and negative values) may exhibit an extreme form of singularity in which oscillations in sign occur everywhere on arbitrarily fine scale. A cancellation exponent is introduced to characterize such measures quantitatively, and examples of significant physical situations which display this striking type of singular behavior are discussed.

Original languageEnglish (US)
Pages (from-to)2654-2657
Number of pages4
JournalPhysical Review Letters
Volume69
Issue number18
DOIs
StatePublished - 1992

ASJC Scopus subject areas

  • General Physics and Astronomy

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