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One of the driving forces behind much of modern science and
technology is the desire to foresee and thereby control the future.
In recent years, however, it has become clear that, even in a
deterministic world, there is alimit to the accuracy with which we
can predict the future. This book details, in a largely
nontechnical style, the extent to which we can predict the future
development of various physical, biological and socio-economic
processes.
This book was originally conceived as a continuation in theme of
the collec- tive monograph Limits of Predictability (Yu. A.
Kravtsov, Ed. , Springer Series in Synergetics, Vol. 60,
Springer-Verlag, Heidelberg, 1993). The main thrust of that book
was to examine the various effects and factors (system non-
stationarity, measurement noise, predictive model accuracy, and so
on) that may limit, in a fundamental fashion, our ability to
mathematically predict physical and man-made phenomena and events.
Particularly interesting was the diversity of fields from which the
papers and examples were drawn, in- cluding climatology, physics,
biophysics, cybernetics, synergetics, sociology, and ethnogenesis.
Twelve prominant Russian scientists, and one American (Prof. A. J.
Lichtman) discussed their philosophical and scientific standpoints
on the problem of the limits of predictability in their various
fields. During the preparation of that book, the editor (Yu. A. K)
had the great pleasure of interacting with world-renowned Russian
scientists such as oceanologist A. S. Monin, geophysicist V. I.
Keilis-Borok, sociologist I. V. Bestuzhev-Lada, histo- rian L. N.
Gumilev, to name a few. Dr. Angela M. Lahee, managing editor of the
Synergetics Series at Springer, was enormously helpful in the
publishing of that book. In 1992, Prof. H. Haken along with Dr.
Lahee kindly supported the idea of publishing a second volume on
the theme of nonlinear system predictability, this time with a more
international flavor.
"Principles of Statistical Radiophysics" is a four-volume series
that introduces the newcomer to the theory of random functions. It
aims at providing the background necessary to understand papers and
monographs on the subject and to carry out independent research in
the fields where fluctuations are of importance, e.g. radiophysics,
optics, astronomy, and acoustics. Volume 3, "Elements of Random
Fields," gives the basic mathematical definitions, general
properties and specific forms of random fields, the generalization
from correlation theory to random fields. It deals with stochastic
partial differential equations, wave scattering at a chaotic
screen, single scattering in random media and thermal fluctuations
and radiation of electromagnetic fields.
Principles of Statistical Radiophysics is concerned with the theory
of random func tions (processes and fields) treated in close
association with a number of applications in physics. Primarily,
the book deals with radiophysics in its broadest sense, i.e., l
viewed as a general theory of oscillations and waves of any
physical nature * This translation is based on the second
(two-volume) Russian edition. It appears in four volumes: 1.
Elements of Random Process Theory 2. Correlation Theory of Random
Processes 3. Elements of Random Fields 4. Wave Propagation Through
Random Media. The four volumes are, naturally, to a large extent
conceptually interconnected (being linked, for instance, by
cross-references); yet for the advanced reader each of them might
be of interest on its own. This motivated the division of the
Principles into four separate volumes. The text is designed for
graduate and postgraduate students majoring in radio physics, radio
engineering, or other branches of physics and technology dealing
with oscillations and waves (e.g., acoustics and optics). As a
rule, early in their career these students face problems involving
the use of random functions. The book pro vides a sound basis from
which to understand and solve problems at this level. In addition,
it paves the way for a more profound study of the mathematical
theory, should it be necessary2. The reader is assumed to be
familiar with probability theory.
Principles of Statistical Radiophysics is concerned with the theory
of random functions (processes and fields) treated in close
association with a number of ap plications in physics. Primarily,
the book deals with radiophysics in its broadest sense, i.e.,
viewed as a general theory of oscillations and waves of any
physical l nature . This translation is based on the second
(two-volume) Russian edition. It appears in four volumes: 1.
Elements of Random Process Theory 2. Correlation Theory of Random
Processes 3. Elements of Random Fields 4. Wave Propagation Through
Random Media. The four volumes are, naturally, to a large extent
conceptually interconnected (being linked, for instance, by
cross-references); yet for the advanced reader each of them might
be of interest on its own. This motivated the division of the
Principles into four separate volumes. The text is designed for
graduate and postgraduate students majoring in radiophysics, radio
engineering, or other branches of physics and technology dealing
with oscillations and waves (e.g., acoustics and optics). As a
rule, early in their career these students face problems involving
the use of random func tions. The book provides a sound basis from
which to understand and solve problems at this level. In addition,
it paves the way for a more profound study of the mathematical
theory, should it be necessary2. The reader is assumed to be
familiar with probability theory."
"Principles of Statistical Radiophysics" is a four-volume series
that introduces the newcomer to the theory of random functions. It
aims at providing the background necessary to understand papers and
monographs on the subject and to carry out independant research in
fields where fluctuations are of importance, e.g. radiophysics,
optics, astronomy, and acoustics. Volume 2, "Correlation Theory of
Random Processes," presents the correlation theory of nonstationary
processes paying particular attention to periodically nonstationary
processes. Physical phenomena like interference, coherence and
polarisation of random oscillations, thermal noise in discrete
dynamical systems, and the spectral representations of random
actions on discrete systems are dealt with.
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