|
Showing 1 - 25 of
30 matches in All Departments
Although the study of dynamical systems is mainly concerned with
single trans formations and one-parameter flows (i. e. with actions
of Z, N, JR, or JR+), er godic theory inherits from statistical
mechanics not only its name, but also an obligation to analyze
spatially extended systems with multi-dimensional sym metry groups.
However, the wealth of concrete and natural examples, which has
contributed so much to the appeal and development of classical
dynamics, is noticeably absent in this more general theory. A
remarkable exception is provided by a class of geometric actions of
(discrete subgroups of) semi-simple Lie groups, which have led to
the discovery of one of the most striking new phenomena in
multi-dimensional ergodic theory: under suitable circumstances
orbit equivalence of such actions implies not only measurable
conjugacy, but the conjugating map itself has to be extremely well
behaved. Some of these rigidity properties are inherited by certain
abelian subgroups of these groups, but the very special nature of
the actions involved does not allow any general conjectures about
actions of multi-dimensional abelian groups. Beyond commuting group
rotations, commuting toral automorphisms and certain other
algebraic examples (cf. [39]) it is quite difficult to find
non-trivial smooth Zd-actions on finite-dimensional manifolds. In
addition to scarcity, these examples give rise to actions with zero
entropy, since smooth Zd-actions with positive entropy cannot exist
on finite-dimensional, connected manifolds. Cellular automata (i.
e.
Although much of classical ergodic theory is concerned with single
transformations and one-parameter flows, the subject inherits from
statistical mechanics not only its name, but also an obligation to
analyze spatially extended systems with multidimensional symmetry
groups. However, the wealth of concrete and natural examples which
has contributed so much to the appeal and development of classical
dynamics, is noticeably absent in this more general theory. The
purpose of this book is to help remedy this scarcity of explicit
examples by introducing a class of continuous Zd-actions diverse
enough to exhibit many of the new phenomena encountered in the
transition from Z to Zd, but which nevertheless lends itself to
systematic study: the Zd-actions by automorphisms of compact,
abelian groups. One aspect of these actions, not surprising in
itself but quite striking in its extent and depth nonetheless, is
the connection with commutative algebra and arithmetical algebraic
geometry. The algebraic framework resulting from this connection
allows the construction of examples with a variety of specified
dynamical properties, and by combining algebraic and dynamical
tools one obtains a quite detailed understanding of this class of
Zd-actions."
Companies and institutions depend more than ever on the
availability of their Information Technology, and most mission
critical business processes are IT-based. Business Continuity is
the ability to do business under any circumstances and is an
essential requirement faced by modern companies. Both concepts -
High Availability and Disaster Recovery - are realized by redundant
systems. This book presents requirements, concepts, and
realizations of redundant systems on all abstraction levels, and
all given examples refer to UNIX and Linux Systems.
This volume contains 21 research and survey papers on recent
developments in the field of diophantine approximation, which are
based on lectures given at a conference at the Erwin
Schrodinger-Institute (Vienna, 2003). The articles are either in
the spirit of more classical diophantine analysis or of a geometric
or combinatorial flavor. Several articles deal with estimates for
the number of solutions of diophantine equations as well as with
congruences and polynomials.
Companies and other organizations depend more than ever on the
availability of their Information Technology, and most mission
critical business processes are IT-based processes. Business
Continuity is the ability to do business under any circumstances
and is an essential requirement modern companies are facing. "High
Availability and Disaster Recovery" are contributions of the IT to
fulfill this requirement. And companies will be confronted with
such demands to an even greater extent in the future, since their
credit ratings will be lower without such precautions. Both, "High
Availability and Disaster Recovery," are realized by redundant
systems. Redundancy can and should be implemented on different
abstraction levels: from the hardware, the operating system and
middleware components up to the backup computing center in case of
a disaster. This book presents requirements, concepts, and
realizations of redundant systems on all abstraction levels, and
all given examples refer to UNIX and Linux Systems.
Recent developments show that probability methods have become a
very powerful tool in such different areas as statistical physics,
dynamical systems, Riemannian geometry, group theory, harmonic
analysis, graph theory and computer science. This volume is an
outcome of the special semester 2001 - Random Walks held at the
Schroedinger Institute in Vienna, Austria. It contains original
research articles with non-trivial new approaches based on
applications of random walks and similar processes to Lie groups,
geometric flows, physical models on infinite graphs, random number
generators, Lyapunov exponents, geometric group theory, spectral
theory of graphs and potential theory. Highlights are the first
survey of the theory of the stochastic Loewner evolution and its
applications to percolation theory (a new rapidly developing and
very promising subject at the crossroads of probability,
statistical physics and harmonic analysis), surveys on expander
graphs, random matrices and quantum chaos, cellular automata and
symbolic dynamical systems, and others. The contributors to the
volume are the leading experts in the area. The book will provide a
valuable source both for active researchers and graduate students
in the respective fields.
Klaus Schmidt has been a pioneer in the concept and process of
inclusive, or holistic, branding as an integral - indeed leading -
element in corporate strategy. This book explains the genesis and
characteristics of the holistic approach, including its dimensions,
structure and methodology, then demonstrates its startling
relevance to today's pressing global business issues. Compelling
case studies from leading organisations in a variety of industries
show the practical necessity of holistic brand thinking, and its
results.
Dieses Buch bietet eine erste Einfuhrung in die mathematische
Theorie der dynamischen Systeme, die fur Studierende des letzten
Studienjahres des Bachelor Studiums und fur das Master Studium
geeignet ist. Aufbauend auf den Grundbegriffen der Topologischen
Dynamik und der Ergodentheorie in den ersten beiden Kapiteln
behandelt das dritte Kapitel den fur die Ergodentheorie zentralen
Begriff der Entropie, der seinen Ursprung in der statistischen
Physik und der Informationstheorie hat, und der die Komplexitat
eines masstheoretischen dynamischen Systems quantifiziert. Das
vierte Kapitel ist ebenfalls der Entropie gewidmet, diesmal aber im
Rahmen der topologischen Dynamik, bei derEntropie einen
quantitativen Ausdruck fur die Verformung eines kompakten
metrischen Raumes durch eine stetige Transformation darstellt. Das
funfte und letzte Kapitel gibt einen kleinen Einblick in aktuelle
Entwicklungen der Theorie der dynamischen Systeme mit ihren
mehrparametrischen Verallgemeinerungen des klassischen Konzepts der
Zeitentwicklung und den daraus entspringenden und zum Teil
uberraschenden Querverbindungen zu anderen mathematischen
Disziplinen.
Das in Vorlesungen erprobte Material dieses Buches kann durch eine
den Interessen der Studierenden angepasste Themenauswahl wahlweise
fur eine ein- oder zweisemestrige Vorlesung eingesetzt werden.
"
The excavation of Gobekli Tepe has revealed the hitherto unknown
religion of the Neolithic Revolution." This book offers an
archaeological starter basis for interpreting that ancient
religion. Other fresh perspectives affect our understanding of
civilization, human sacrifice, cannibalism, warfare, and
imperialism. Fresh contextual perspectives are presented on ancient
Egypt and Greece, on Abraham, the Scapegoat question, as well as on
the teaching strategies of Confucius in China-all these are
remotely linked to Gobekli Tepe. The author is a former student of
Mircea Eliade (University of Chicago) and the family resemblance in
his orientation shows. His earlier innovations in the History of
Religions field include: (1) a historical interpretation of Navajo
hunter mythology; (2) recording the nine-night Navajo Coyoteway
Ceremonial in 1974, which had been declared extinct in 1910; (3)
identification of the Serpent as primary deity of ancient Middle
American Civilization, thereby rejecting the primacy of the Jaguar
totem; (4) identifying Neo-Platonism as a bridge leading from
ancient Egyptian theology at Heliopolis to orthodox Christian
theology.
Excavation of Goebekli Tepe has revealed the hitherto unknown
religion of the "Neolithic Revolution." Almost twelve millennia ago
the cult was established, at the northern end of the Fertile
Crescent, by priests who were hunter-shamans, miners of flint and
weapon-makers. Progress in weapon manufacture resulted in
overhunting, a temporary surplus of meat, too many human hunters,
and a decline in prey animal populations. Shortages of prey animals
elicited a priestly cult that specialized in the regeneration of
life. Priestly minds rationalized taking control of plants and
animals and thereby encouraged domestication--which led to
"hyper-domestication," or, what evolved as our history of
civilization and our history of religions.
The origin of this volume and the symposium proceedings it records
can be traced to the deliberations of the National Academy of
Sciences' Animal Orientation and Tracking Committee of the 1969
Space Biology Summer Study at Santa Cruz, California, whose members
pointed to the potential role of satellites and recent
bioengineering developments as a means of gaining information about
the many questions of animal travel, particularly the mechanisms
involved in long-distance navigational ability. Coming several
years since its predecessor conferences, at a time of a new
popularization of ecology and a growing availability of advanced
technology, the Wallops Station symposium reflected its temporal
and geographic setting. The papers and discussions of this volume
contrast the classical approaches to phenomena of ancient interest,
the beginnings made in applying satellite technology, and the
conceptual and methodological advances in experimental biology
which have taken place in the past few years. The range of species,
sensory modalities, and methodologies provide the reader with a
substantial sample of the developments in this field and with the
basis for predicting, to some degree, its future course. Already
apparent is the combining of field observations made under highly
variable natural conditions with analytic, manipulative laboratory
methods. A greater precision in the experimental questions now
being posed is making their solution increasingly susceptible to
neurophysiological and behavioral techniques for isolating the
variables, both internal and environmental, which control this
class of behavior. Whether the mechanisms of orientation and
navigation will yield to the current array of approaches addressed
to specific questions or must await a more general understanding of
brain function, there is little doubt that this symposium will have
had a significant effect on the research to be reported whenever
the participants in this field again assemble to assess their
progress. Richard E. Belleville Bioscience Programs
|
You may like...
Hampstead
Diane Keaton, Brendan Gleeson, …
DVD
R66
Discovery Miles 660
Loot
Nadine Gordimer
Paperback
(2)
R398
R330
Discovery Miles 3 300
|