Lattices over Orders II, Klaus W. Roggenkamp

Автор: Hyman Bass; H. Bass; Alexander Lubotzky; L. Carbon
Название: Tree Lattices
ISBN: 1461274133 ISBN-13(EAN): 9781461274131
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Описание:

This monograph extends this approach to the more general investigation of X-lattices, and these "tree lattices" are the main object of study. The authors present a coherent survey of the results on uniform tree lattices, and a (previously unpublished) development of the theory of non-uniform tree lattices, including some fundamental and recently proved existence theorems. Tree Lattices should be a helpful resource to researchers in the field, and may also be used for a graduate course on geometric methods in group theory.

Автор: Sadok Ben Yahia; Engelbert Mephu Nguifo; Radim Bel
Название: Concept Lattices and Their Applications
ISBN: 3540789200 ISBN-13(EAN): 9783540789208
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Цена: 9781.00 р.
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Автор: Jorge Almeida; Gabriela Bordalo; Philip Dwinger
Название: Lattices, Semigroups, and Universal Algebra
ISBN: 1489926100 ISBN-13(EAN): 9781489926104
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Описание: Proceedings of an international conference held in Lisbon, Portugal, June 20-24, 1988

Автор: Folkert M?ller-Hoissen; Jean Marcel Pallo; Jim Sta
Название: Associahedra, Tamari Lattices and Related Structures
ISBN: 3034807961 ISBN-13(EAN): 9783034807968
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Описание: Tamari lattices can be realized in terms of polytopes called associahedra, which in fact also appeared first in Tamari`s thesis. On the occasion of Dov Tamari`s centennial birthday, this book provides an introduction to topical research related to Tamari`s work and ideas.

Автор: Bernd Terhalle
Название: Controlling Light in Optically Induced Photonic Lattices
ISBN: 3642267025 ISBN-13(EAN): 9783642267024
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Описание: Using the model system of a photorefractive nonlinearity, this volume presents a comprehensive picture of the control of nonlinear and quantum optics phenomena in photonic lattices. The test describes resonant transitions in two-dimensional hexagonal lattices, for the first time.

Автор: Klaus W. Roggenkamp; Verena Huber-Dyson
Название: Lattices over Orders I
ISBN: 3540049045 ISBN-13(EAN): 9783540049043
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Автор: Fumitomo Maeda; Shuichiro Maeda
Название: Theory of Symmetric Lattices
ISBN: 3642462502 ISBN-13(EAN): 9783642462504
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Описание: Of central importance in this book is the concept of modularity in lattices. These lattices are said to be M-sym- metric, and their study forms an extension of the theory of modular lattices. We have a deep theory of parallelism in an affine matroid lattice, a special kind of matroid lattice.

Автор: C.B. Huijsmans; M.A. Kaashoek; W.A.J. Luxemburg; B
Название: Operator Theory in Function Spaces and Banach Lattices
ISBN: 3034898967 ISBN-13(EAN): 9783034898966
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Описание: It contains a selection of original research papers which cover a broad spectrum of topics about operators and semigroups of operators on Banach lattices, analysis in function spaces and integration theory.

Автор: Jacques Martinet
Название: Perfect Lattices in Euclidean Spaces
ISBN: 3642079210 ISBN-13(EAN): 9783642079214
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Автор: John W. Clark; Manfred L. Ristig
Название: Theory of Spin Lattices and Lattice Gauge Models
ISBN: 3662141132 ISBN-13(EAN): 9783662141137
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Автор: L. Beran
Название: Orthomodular Lattices
ISBN: 9401088071 ISBN-13(EAN): 9789401088077
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Описание: Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. Bowever, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programmi ng profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "completely integrable systems", "chaos, synergetics and large-s.cale order", which are almost impossible to fit into the existing classifica- tion schemes. They draw upon widely different sections of mathe- matics.

Автор: Vladimir I. Nekorkin; M. G. Velarde
Название: Synergetic Phenomena in Active Lattices
ISBN: 3642627250 ISBN-13(EAN): 9783642627255
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Описание: In recent years there has been growing interest in the study of the nonlinear spatio-temporal dynamics of problems appearing in various ?elds of science and engineering. In a wide class of such systems an important place is - cupied by active lattice dynamical systems. Active lattice systems are, e. g., networks of identical or almost identical interacting units ordered in space. The activity of lattices is provided by the activity of units in them that possess energy or matter sources. In real (1D, 2D or 3D) space, processes develop by means of various types of connections, the simplest being di?usion. The uniqueness of lattice systems is that they represent spatially extended systems while having a ?nite-dimensional phase space. Therefore, active lattice s- tems are of interest for the study of multidimensional dynamical systems and the theory of nonlinear waves and dissipative structures of extended systems as well. The theory of nonlinear waves and dissipative structures of spatially distributed systems demands using theoretical methods and approaches of the qualitative theory of dynamical systems, bifurcation theory, and numerical methods or computer experiments. In other words, the investigation of spat- temporal dynamics in active lattice systems demands a multitool, synergetic approach, which we shall use in this book.