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Non-Linear Variability in Geophysics - Scaling and Fractals (Hardcover, 1991 ed.): D. Schertzer, S. Lovejoy Non-Linear Variability in Geophysics - Scaling and Fractals (Hardcover, 1991 ed.)
D. Schertzer, S. Lovejoy
R2,828 Discovery Miles 28 280 Ships in 18 - 22 working days

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.

Non-Linear Variability in Geophysics - Scaling and Fractals (Paperback, Softcover reprint of the original 1st ed. 1991): D.... Non-Linear Variability in Geophysics - Scaling and Fractals (Paperback, Softcover reprint of the original 1st ed. 1991)
D. Schertzer, S. Lovejoy
R2,663 Discovery Miles 26 630 Ships in 18 - 22 working days

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.

The Glorious Revolution in America (Paperback): David S. Lovejoy The Glorious Revolution in America (Paperback)
David S. Lovejoy
R1,039 Discovery Miles 10 390 Ships in 18 - 22 working days

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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