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consequences of broken symmetry -here parity-is studied. In this
model, turbulence is dominated by a hierarchy of helical
(corkscrew) structures. The authors stress the unique features of
such pseudo-scalar cascades as well as the extreme nature of the
resulting (intermittent) fluctuations. Intermittent turbulent
cascades was also the theme of a paper by us in which we show that
universality classes exist for continuous cascades (in which an
infinite number of cascade steps occur over a finite range of
scales). This result is the multiplicative analogue of the familiar
central limit theorem for the addition of random variables.
Finally, an interesting paper by Pasmanter investigates the scaling
associated with anomolous diffusion in a chaotic tidal basin model
involving a small number of degrees of freedom. Although the
statistical literature is replete with techniques for dealing with
those random processes characterized by both exponentially decaying
(non-scaling) autocorrelations and exponentially decaying
probability distributions, there is a real paucity of literature
appropriate for geophysical fields exhibiting either scaling over
wide ranges (e. g. algebraic autocorrelations) or extreme
fluctuations (e. g. algebraic probabilities, divergence of high
order statistical moments). In fact, about the only relevant
technique that is regularly used -fourier analysis (energy spectra)
-permits only an estimate of a single (power law) exponent. If the
fields were mono-fractal (characterized by a single fractal
dimension) this would be sufficient, however their generally
multifractal character calls for the development of new techniques.
consequences of broken symmetry -here parity-is studied. In this
model, turbulence is dominated by a hierarchy of helical
(corkscrew) structures. The authors stress the unique features of
such pseudo-scalar cascades as well as the extreme nature of the
resulting (intermittent) fluctuations. Intermittent turbulent
cascades was also the theme of a paper by us in which we show that
universality classes exist for continuous cascades (in which an
infinite number of cascade steps occur over a finite range of
scales). This result is the multiplicative analogue of the familiar
central limit theorem for the addition of random variables.
Finally, an interesting paper by Pasmanter investigates the scaling
associated with anomolous diffusion in a chaotic tidal basin model
involving a small number of degrees of freedom. Although the
statistical literature is replete with techniques for dealing with
those random processes characterized by both exponentially decaying
(non-scaling) autocorrelations and exponentially decaying
probability distributions, there is a real paucity of literature
appropriate for geophysical fields exhibiting either scaling over
wide ranges (e. g. algebraic autocorrelations) or extreme
fluctuations (e. g. algebraic probabilities, divergence of high
order statistical moments). In fact, about the only relevant
technique that is regularly used -fourier analysis (energy spectra)
-permits only an estimate of a single (power law) exponent. If the
fields were mono-fractal (characterized by a single fractal
dimension) this would be sufficient, however their generally
multifractal character calls for the development of new techniques.
An outstanding examination of the crises that lead to the colonial
rebellions of 1689. A finalist for the National Book Award for
history in 1973, the book is now available in paperback with a 1987
introduction by the author. "Lovejoy has now related this whole
period of history] more fully than it has ever been told before.
His research is thorough, and his reach in time and space is
impressive . . . a judicious and significant book, the best we now
have on the subject"-- New York Times Book Review. "A long-awaited
assessment of those critical upheavals that disrupted the American
colonies from Bacon's Rebellion in 1676 to the major revolts in New
England, New York, and Maryland in 1689. Lovejoy's] interpretation
is decidedly neo-Whig, which should provoke a fine narrative of the
period and a most provocative comparison of these important
revolutions, a comparison that should challenge all students of the
colonial political process." - The American Historical Review DAVID
S. LOVEJOY us a professor emeritus of history at the University of
Wisconsin, Madison, where he taught from 1960 to 1983. He received
a B.S. from Bowdoin College in 1941 (and Distinguished Bowdoin
Educator Award in 1980) and Ph.D. from Brown University in 1954.
LOVEJOY has taught at Northwestern and Brown universities and a t
Marlboro Colege in Vermont. Her was a Fulbright Lecturer in
Scotland and has received Guggenheim and Rockerfeller Foundation
fellowships. He is the author of Religious Enthusiam in the New
World: Heresy to Revolution. His home is in Madison and in
Oxford-shire, England.
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