Automata-Theoretic Aspects of Formal Power Series, Arto Salomaa; Matti Soittola

Автор: Kurshan Robert P.
Название: Computer-Aided Verification of Coordinating Processes: The Automata-Theoretic Approach
ISBN: 0691606056 ISBN-13(EAN): 9780691606057
Издательство: Wiley
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Цена: 54910.00 T
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Описание: Formal verification increasingly has become recognized as an answer to the problem of how to create ever more complex control systems, which nonetheless are required to behave reliably. To be acceptable in an industrial setting, formal verification must be highly algorithmic; to cope with design complexity, it must support a top-down design methodo

Автор: Skrzypczak
Название: Descriptive Set Theoretic Methods in Automata Theory
ISBN: 3662529467 ISBN-13(EAN): 9783662529461
Издательство: Springer
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Цена: 46590.00 T
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Описание: The book is based on the PhD thesis “Descriptive Set Theoretic Methods in Automata Theory,” awarded the E.W. Beth Prize in 2015 for outstanding dissertations in the fields of logic, language, and information. The thesis reveals unexpected connections between advanced concepts in logic, descriptive set theory, topology, and automata theory and provides many deep insights into the interplay between these fields. It opens new perspectives on central problems in the theory of automata on infinite words and trees and offers very impressive advances in this theory from the point of view of topology.'…the thesis of Micha? Skrzypczak offers certainly what we expect from excellent mathematics: new unexpected connections between a priori distinct concepts, and proofs involving enlightening ideas.” Thomas Colcombet.

Автор: Hinman
Название: Recursion-Theoretic Hierarchies
ISBN: 1107168244 ISBN-13(EAN): 9781107168244
Издательство: Cambridge Academ
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Цена: 159450.00 T
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Описание: The theory set out in this volume is the result of the meeting and common development of two currents of mathematical research: descriptive set theory and recursion theory. The author develops a general theory from which the results of both areas can be derived, making the common themes clear.

Автор: S. Aguzzoli; A. Ciabattoni; B. Gerla; C. Manara; V
Название: Algebraic and Proof-theoretic Aspects of Non-classical Logics
ISBN: 3540759387 ISBN-13(EAN): 9783540759386
Издательство: Springer
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Цена: 65210.00 T
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Описание: Covers contributions to the International Conference on the Algebraic and Logical Foundations of Many-Valued Reasoning, held in Gargnano, Italy, in March 2006.

Автор: Eisner Tanja
Название: Operator Theoretic Aspects of Ergodic Theory
ISBN: 3319168975 ISBN-13(EAN): 9783319168975
Издательство: Springer
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Цена: 65210.00 T
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Описание: Stunning recent results by Host-Kra, Green-Tao, and others, highlight the timeliness of this systematic introduction to classical ergodic theory using the tools of operator theory. Assuming no prior exposure to ergodic theory, this book provides a modern foundation for introductory courses on ergodic theory, especially for students or researchers with an interest in functional analysis. While basic analytic notions and results are reviewed in several appendices, more advanced operator theoretic topics are developed in detail, even beyond their immediate connection with ergodic theory. As a consequence, the book is also suitable for advanced or special-topic courses on functional analysis with applications to ergodic theory.
Topics include:
- an intuitive introduction to ergodic theory
- an introduction to the basic notions, constructions, and standard examples of topological dynamical systems
- Koopman operators, Banach lattices, lattice and algebra homomorphisms, and the Gelfand-Naimark theorem
- measure-preserving dynamical systems
- von Neumann's Mean Ergodic Theorem and Birkhoff's Pointwise Ergodic Theorem
- strongly and weakly mixing systems
- an examination of notions of isomorphism for measure-preserving systems
- Markov operators, and the related concept of a factor of a measure preserving system
- compact groups and semigroups, and a powerful tool in their study, the Jacobs-de Leeuw-Glicksberg decomposition
- an introduction to the spectral theory of dynamical systems, the theorems of Furstenberg and Weiss on multiple recurrence, and applications of dynamical systems to combinatorics (theorems of van der Waerden, Gallai, and Hindman, Furstenberg's Correspondence Principle, theorems of Roth and Furstenberg-S rk zy)
Beyond its use in the classroom, Operator Theoretic Aspects of Ergodic Theory can serve as a valuable foundation for doing research at the intersection of ergodic theory and operator theory

Автор: Tanja Eisner; B?lint Farkas; Markus Haase; Rainer
Название: Operator Theoretic Aspects of Ergodic Theory
ISBN: 3319371053 ISBN-13(EAN): 9783319371054
Издательство: Springer
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Цена: 65210.00 T
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Описание: What is Ergodic Theory?.- Topological Dynamical Systems.- Minimality and Recurrence.- The C*-algebra C(K) and the Koopman Operator.- Measure-Preserving Systems.- Recurrence and Ergodicity.- The Banach Lattice Lp and the Koopman Operator.- The Mean Ergodic Theorem.- Mixing Dynamical Systems.- Mean Ergodic Operators on C(K).- The Pointwise Ergodic Theorem.- Isomorphisms and Topological Models.- Markov Operators.- Compact Semigroups and Groups.- Topological Dynamics Revisited.- The Jacobs-de Leeuw-Glicksberg Decomposition.- Dynamical Systems with Discrete Spectrum.- A Glimpse at Arithmetic Progressions.- Joinings.- The Host-Kra-​Tao Theorem.- More Ergodic Theorems.- Appendix A: Topology.- Appendix B: Measure and Integration Theory.- Appendix C: Functional Analysis.- Appendix D: The Riesz Representation Theorem.- Appendix E: Theorems of Eberlein, Grothendieck, and Ellis.

Автор: Masanao Aoki
Название: Notes on Economic Time Series Analysis: System Theoretic Perspectives
ISBN: 3540126961 ISBN-13(EAN): 9783540126966
Издательство: Springer
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Цена: 102480.00 T
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Описание: In seminars and graduate level courses I have had several opportunities to discuss modeling and analysis of time series with economists and economic graduate students during the past several years.

Автор: Ernst W. Mayr
Название: Graph-Theoretic Concepts in Computer Science
ISBN: 3540564020 ISBN-13(EAN): 9783540564027
Издательство: Springer
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Цена: 74530.00 T
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Описание: This volume, based on the 18th International Workshop in Graph-Theoretic Concepts in Computer Science, is divided into parts on restricted graph classes, scheduling and related problems, parallel and distributed algorithms, combinatorial graph problems and other topics.

Автор: Juraj Hromkovi?; Manfred Nagl; Bernhard Westfechte
Название: Graph-Theoretic Concepts in Computer Science
ISBN: 3540241329 ISBN-13(EAN): 9783540241324
Издательство: Springer
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Цена: 88500.00 T
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