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 language | English (US) |
|---|---|
| Pages (from-to) | 2654-2657 |
| Number of pages | 4 |
| Journal | Physical Review Letters |
| Volume | 69 |
| Issue number | 18 |
| DOIs | |
| State | Published - 1992 |
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ASJC Scopus subject areas
- Physics and Astronomy(all)
Cite this
Sign-singular measures : Fast magnetic dynamos, and high-Reynolds-number fluid turbulence. / Ott, Edward; Du, Yunson; Sreenivasan, K. R.; Juneja, A.; Suri, A. K.
In: Physical Review Letters, Vol. 69, No. 18, 1992, p. 2654-2657.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Sign-singular measures
T2 - Fast magnetic dynamos, and high-Reynolds-number fluid turbulence
AU - Ott, Edward
AU - Du, Yunson
AU - Sreenivasan, K. R.
AU - Juneja, A.
AU - Suri, A. K.
PY - 1992
Y1 - 1992
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0000661931&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0000661931&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.69.2654
DO - 10.1103/PhysRevLett.69.2654
M3 - Article
AN - SCOPUS:0000661931
VL - 69
SP - 2654
EP - 2657
JO - Physical Review Letters
JF - Physical Review Letters
SN - 0031-9007
IS - 18
ER -