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1 Adamatzky, Andrew Cellular Automata I08961 2018 eBook  
2 Khrennikov, Andrei Y Information Dynamics in Cognitive, Psychological, Social, and Anomalous Phenomena I10657 2004 eBook  
3 Maass, Alejandro Dynamics and Randomness I10542 2002 eBook  
4 Goles, E Complex Systems I10541 2001 eBook  
5 Wesolowski, Z Nonlinear Dynamics of Elastic Bodies I05186 1978 eBook  
6 Rosenberg, Ivo G Algebras and Orders I05135 1993 eBook  
7 Rival, Ivan Ordered Sets I04730 1982 eBook  
8 Boccara, N Cellular Automata and Cooperative Systems I04350 1993 eBook  
9 Anderson, M.E Lattice-Ordered Groups I03633 1988 eBook  
10 Hahn, Gena Graph Symmetry I02352 1997 eBook  
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TitleCellular Automata : A Volume in the Encyclopedia of Complexity and Systems Science, Second Edition
Author(s)Adamatzky, Andrew
PublicationNew York, NY, 1. Imprint: Springer 2. Springer US, 2018.
Description425 illus., 190 illus. in color. eReference : online resource
Abstract NoteThis volume of the Encyclopedia of Complexity and Systems Science, Second Edition, provides an authoritative introduction and overview of the latest research in cellular automata (CA) models of physical systems, emergent phenomena, computational universality, chaos, growth phenomena, phase transitions, self-organised criticality, reaction-diffusion systems, self-replications, parallel computation, and more. Fundamental topics of algorithmic complexity, algebraic groups, language theory, evolving CA, ergodic theory, synchronisation, tiling problems and undecidability and topological dynamics of CA are addressed. Cellular automata are regular uniform networks of locally-connected finite-state machines, and represent discrete systems with non-trivial behavior, including waves, patterns and travelling localisations. CA are ubiquitous: they are mathematical models of computation and computer models of natural systems. Classes of CA presented in this book include additive CA, automata in hyperbolic spaces and non-compact spaces, CA in triangular, pentagonal and hexagonal tessellations, automata with memory, quantum and reversible automata, structurally-dynamic CA, and asynchronous automata. Topics added to the second edition include: asynchronous cellular automata, stochastic cellular automata as models of reaction-diffusion processes, cellular automata hardware implementation, cellular automata basins of attraction, orbits of Bernoulli measures in cellular automata, and graphs related to reversibility and complexity in cellular. This state-of-the-art reference is unique in bringing together unequalled expertise of interdisciplinary studies at the edge of mathematics, computer science, and physics
ISBN,Price9781493987009
Keyword(s)1. APPLIED MATHEMATICS 2. COMPLEX SYSTEMS 3. Computation by Abstract Devices 4. Computer logic 5. Computer science???Mathematics 6. COMPUTERS 7. DISCRETE MATHEMATICS 8. Discrete Mathematics in Computer Science 9. DYNAMICAL SYSTEMS 10. EBOOK 11. EBOOK - SPRINGER 12. ENGINEERING MATHEMATICS 13. Logics and Meanings of Programs 14. Mathematical and Computational Engineering 15. STATISTICAL PHYSICS
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TitleInformation Dynamics in Cognitive, Psychological, Social, and Anomalous Phenomena
Author(s)Khrennikov, Andrei Y
PublicationDordrecht, 1. Imprint: Springer 2. Springer Netherlands, 2004.
DescriptionXV, 235 p : online resource
Abstract NoteIn this book we develop various mathematical models of information dynamics, I -dynamics (including the process of thinking), based on methods of classical and quantum physics. The main aim of our investigations is to describe mathematically the phenomenon of consciousness. We would like to realize a kind of Newton-Descartes program (corrected by the lessons of statistical and quantum mechanics) for information processes. Starting from the ideas of Newton and Descartes, in physics there was developed an adequate description of the dynamics of material systems. We would like to develop an analogous mathematical formalism for information and, in particular, mental processes. At the beginning of the 21st century it is clear that it would be impossible to create a deterministic model for general information processes. A deterministic model has to be completed by a corresponding statistical model of information flows and, in particular, flows of minds. It might be that such an information statistical model should have a quantum-like structure
ISBN,Price9789401704793
Keyword(s)1. ANALYSIS 2. Analysis (Mathematics) 3. ARTIFICIAL INTELLIGENCE 4. Computer science???Mathematics 5. Discrete Mathematics in Computer Science 6. EBOOK 7. EBOOK - SPRINGER 8. MATHEMATICAL ANALYSIS 9. MATHEMATICAL PHYSICS 10. PHILOSOPHY OF MIND 11. Theoretical, Mathematical and Computational Physics
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TitleDynamics and Randomness
Author(s)Maass, Alejandro;Mart??nez, Servet;San Mart??n, Jaime
PublicationDordrecht, 1. Imprint: Springer 2. Springer Netherlands, 2002.
DescriptionX, 278 p : online resource
Abstract NoteThis book contains the lectures given at the Conference on Dynamics and Randomness held at the Centro de Modelamiento Matematico of the Universidad de Chile from December 11th to 15th, 2000. This meeting brought together mathematicians, theoretical physicists and theoretical computer scientists, and graduate students interested in fields re?? lated to probability theory, ergodic theory, symbolic and topological dynam?? ics. We would like to express our gratitude to all the participants of the con?? ference and to the people who contributed to its organization. In particular, to Pierre Collet, Bernard Host and Mike Keane for their scientific advise. VVe want to thank especially the authors of each chapter for their well?? prepared manuscripts and the stimulating conferences they gave at Santiago. We are also indebted to our sponsors and supporting institutions, whose interest and help was essential to organize this meeting: ECOS-CONICYT, FONDAP Program in Applied Mathematics, French Cooperation, Fundacion Andes, Presidential Fellowship and Universidad de Chile. We are grateful to Ms. Gladys Cavallone for their excellent work during the preparation of the meeting as well as for the considerable task of unifying the typography of the different chapters of this book
ISBN,Price9789401003452
Keyword(s)1. Coding and Information Theory 2. CODING THEORY 3. COMPLEX SYSTEMS 4. Computer science???Mathematics 5. Discrete Mathematics in Computer Science 6. DYNAMICAL SYSTEMS 7. EBOOK 8. EBOOK - SPRINGER 9. INFORMATION THEORY 10. PROBABILITIES 11. Probability Theory and Stochastic Processes 12. STATISTICAL PHYSICS 13. Statistical Physics and Dynamical Systems
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TitleComplex Systems
Author(s)Goles, E;Mart??nez, Servet
PublicationDordrecht, 1. Imprint: Springer 2. Springer Netherlands, 2001.
DescriptionVIII, 301 p : online resource
Abstract NoteThis volume contains the courses given at the Sixth Summer School on Complex Systems held at Facultad de Ciencias Fisicas y Maternaticas, Universidad de Chile at Santiago, Chile, from 14th to 18th December 1998. This school was addressed to graduate students and researchers working on areas related with recent trends in Complex Systems, including dynamical systems, cellular automata, complexity and cutoff in Markov chains. Each contribution is devoted to one of these subjects. In some cases they are structured as surveys, presenting at the same time an original point of view and showing mostly new results. The paper of Pierre Arnoux investigates the relation between low complex systems and chaotic systems, showing that they can be put into relation by some re?? normalization operations. The case of quasi-crystals is fully studied, in particular the Sturmian quasi-crystals. The paper of Franco Bagnoli and Raul Rechtman establishes relations be?? tween Lyapunov exponents and synchronization processes in cellular automata. The principal goal is to associate tools, usually used in physical problems, to an important problem in cellularautomata and computer science, the synchronization problem. The paper of Jacques Demongeot and colleagues gives a presentation of at?? tractors of dynamical systems appearing in biological situations. For instance, the relation between positive or negative loops and regulation systems
ISBN,Price9789401009201
Keyword(s)1. COMPLEX SYSTEMS 2. Computer science???Mathematics 3. COMPUTERS 4. Discrete Mathematics in Computer Science 5. DYNAMICAL SYSTEMS 6. EBOOK 7. EBOOK - SPRINGER 8. Mathematical Modeling and Industrial Mathematics 9. MATHEMATICAL MODELS 10. STATISTICAL PHYSICS 11. Statistics, general 12. Statistics?? 13. SYSTEM THEORY 14. Systems Theory, Control 15. Theory of Computation
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TitleNonlinear Dynamics of Elastic Bodies
Author(s)Wesolowski, Z
PublicationVienna, 1. Imprint: Springer 2. Springer Vienna, 1978.
DescriptionV, 212 p. 3 illus : online resource
ISBN,Price9783709127469
Keyword(s)1. CLASSICAL MECHANICS 2. Computer science???Mathematics 3. Discrete Mathematics in Computer Science 4. EBOOK 5. EBOOK - SPRINGER 6. MECHANICS
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TitleAlgebras and Orders
Author(s)Rosenberg, Ivo G;Sabidussi, Gert
PublicationDordrecht, 1. Imprint: Springer 2. Springer Netherlands, 1993.
DescriptionXVIII, 558 p : online resource
Abstract NoteIn the summer of 1991 the Department of Mathematics and Statistics of the Universite de Montreal was fortunate to host the NATO Advanced Study Institute "Algebras and Orders" as its 30th Seminaire de mathematiques superieures (SMS), a summer school with a long tradition and well-established reputation. This book contains the contributions of the invited speakers. Universal algebra- which established itself only in the 1930's- grew from traditional algebra (e.g., groups, modules, rings and lattices) and logic (e.g., propositional calculus, model theory and the theory of relations). It started by extending results from these fields but by now it is a well-established and dynamic discipline in its own right. One of the objectives of the ASI was to cover a broad spectrum of topics in this field, and to put in evidence the natural links to, and interactions with, boolean algebra, lattice theory, topology, graphs, relations, automata, theoretical computer science and (partial) orders. The theory of orders is a relatively young and vigorous discipline sharing certain topics as well as many researchers and meetings with universal algebra and lattice theory. W. Taylor surveyed the abstract clone theory which formalizes the process of compos?? ing operations (i.e., the formation of term operations) of an algebra as a special category with countably many objects, and leading naturally to the interpretation and equivalence of varieties
ISBN,Price9789401706971
Keyword(s)1. ALGEBRA 2. Computer science???Mathematics 3. Discrete Mathematics in Computer Science 4. EBOOK 5. EBOOK - SPRINGER 6. MATHEMATICAL LOGIC 7. Mathematical Logic and Foundations 8. NUMBER THEORY 9. Order, Lattices, Ordered Algebraic Structures 10. Ordered algebraic structures 11. TOPOLOGY
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7.     
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TitleOrdered Sets : Proceedings of the NATO Advanced Study Institute held at Banff, Canada, August 28 to September 12, 1981
Author(s)Rival, Ivan
PublicationDordrecht, 1. Imprint: Springer 2. Springer Netherlands, 1982.
Description978 p : online resource
Abstract NoteThis volume contains all twenty-three of the principal survey papers presented at the Symposium on Ordered Sets held at Banff, Canada from August 28 to September 12, 1981. The Symposium was supported by grants from the NATO Advanced Study Institute programme, the Natural Sciences and Engineering Research Council of Canada, the Canadian Mathematical Society Summer Research Institute programme, and the University of Calgary. tve are very grateful to these Organizations for their considerable interest and support. Over forty years ago on April 15, 1938 the first Symposium on Lattice Theory was held in Charlottesville, U.S.A. in conjunction with a meeting of the American Mathematical Society. The principal addresses on that occasion were Lattices and their applications by G. Birkhoff, On the application of structure theory to groups by O. Ore, and The representation of Boolean algebras by M. H. Stone. The texts of these addresses and three others by R. Baer, H. M. MacNeille, and K. Menger appear in the Bulletin of the American Mathematical Society, Volume 44, 1938. In those days the theory of ordered sets, and especially lattice theory was described as a "vigorous and promising younger brother of group theory." Some early workers hoped that lattice?? theoretic methods would lead to solutions of important problems in group theory
ISBN,Price9789400977983
Keyword(s)1. ALGEBRA 2. Computer science???Mathematics 3. Discrete Mathematics in Computer Science 4. EBOOK 5. EBOOK - SPRINGER 6. Order, Lattices, Ordered Algebraic Structures 7. Ordered algebraic structures
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8.     
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TitleCellular Automata and Cooperative Systems
Author(s)Boccara, N;Goles, E;Mart??nez, Servet;Picco, Pierre
PublicationDordrecht, 1. Imprint: Springer 2. Springer Netherlands, 1993.
DescriptionXVII, 546 p : online resource
ISBN,Price9789401116916
Keyword(s)1. COMPLEX SYSTEMS 2. Computer science???Mathematics 3. COMPUTERS 4. Discrete Mathematics in Computer Science 5. DYNAMICAL SYSTEMS 6. EBOOK 7. EBOOK - SPRINGER 8. MATHEMATICAL LOGIC 9. Mathematical Logic and Foundations 10. PHYSICS 11. Physics, general 12. STATISTICAL PHYSICS 13. Statistical Physics and Dynamical Systems 14. Theory of Computation
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9.     
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TitleLattice-Ordered Groups : An Introduction
Author(s)Anderson, M.E;Feil, T.H
PublicationDordrecht, 1. Imprint: Springer 2. Springer Netherlands, 1988.
Description204 p : online resource
Abstract NoteThe study of groups equipped with a compatible lattice order ("lattice-ordered groups" or "I!-groups") has arisen in a number of different contexts. Examples of this include the study of ideals and divisibility, dating back to the work of Dedekind and continued by Krull; the pioneering work of Hahn on totally ordered abelian groups; and the work of Kantorovich and other analysts on partially ordered function spaces. After the Second World War, the theory of lattice-ordered groups became a subject of study in its own right, following the publication of fundamental papers by Birkhoff, Nakano and Lorenzen. The theory blossomed under the leadership of Paul Conrad, whose important papers in the 1960s provided the tools for describing the structure for many classes of I!-groups in terms of their convex I!-subgroups. A particularly significant success of this approach was the generalization of Hahn's embedding theorem to the case of abelian lattice-ordered groups, work done with his students John Harvey and Charles Holland. The results of this period are summarized in Conrad's "blue notes" [C]
ISBN,Price9789400928718
Keyword(s)1. Computer science???Mathematics 2. Discrete Mathematics in Computer Science 3. EBOOK 4. EBOOK - SPRINGER
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TitleGraph Symmetry : Algebraic Methods and Applications
Author(s)Hahn, Gena;Sabidussi, Gert
PublicationDordrecht, 1. Imprint: Springer 2. Springer Netherlands, 1997.
DescriptionXX, 418 p : online resource
Abstract NoteThe last decade has seen two parallel developments, one in computer science, the other in mathematics, both dealing with the same kind of combinatorial structures: networks with strong symmetry properties or, in graph-theoretical language, vertex-transitive graphs, in particular their prototypical examples, Cayley graphs. In the design of large interconnection networks it was realised that many of the most fre?? quently used models for such networks are Cayley graphs of various well-known groups. This has spawned a considerable amount of activity in the study of the combinatorial properties of such graphs. A number of symposia and congresses (such as the bi-annual IWIN, starting in 1991) bear witness to the interest of the computer science community in this subject. On the mathematical side, and independently of any interest in applications, progress in group theory has made it possible to make a realistic attempt at a complete description of vertex-transitive graphs. The classification of the finite simple groups has played an important role in this respect
ISBN,Price9789401589376
Keyword(s)1. COMBINATORICS 2. Computer Communication Networks 3. Computer communication systems 4. Computer science???Mathematics 5. DISCRETE MATHEMATICS 6. Discrete Mathematics in Computer Science 7. EBOOK 8. EBOOK - SPRINGER 9. GROUP THEORY 10. Group Theory and Generalizations 11. MICROPROCESSORS 12. Processor Architectures
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