Ergodic Theoretic Methods in Group Homology: A Minicourse on L2-Betti Numbers in Group Theory, Lцh Clara
Автор: Eisner Tanja Название: Operator Theoretic Aspects of Ergodic Theory ISBN: 3319168975 ISBN-13(EAN): 9783319168975 Издательство: Springer Рейтинг: Цена: 9781.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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
Описание: Most physical systems lose or gain stability through bifurcation behavior. This book explains a series of experimentally found bifurcation phenomena by means of the methods of static bifurcation theory.
Описание: Boyle, for their life-long contributions to the math and physics communities. The aim of the ICGTMP is to provide a forum for physicists, mathematicians, and scientists of related disciplines who develop or apply methods in group theory to share their research.
Автор: Tanja Eisner; B?lint Farkas; Markus Haase; Rainer Название: Operator Theoretic Aspects of Ergodic Theory ISBN: 3319371053 ISBN-13(EAN): 9783319371054 Издательство: Springer Рейтинг: Цена: 9781.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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: Hayashi Masahito Название: A Group Theoretic Approach to Quantum Information ISBN: 3319832484 ISBN-13(EAN): 9783319832487 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book is the first one addressing quantum information from the viewpoint of group symmetry. This book treats optimal information processes including quantum state estimation, quantum state cloning, estimation of group action and quantum channel etc.
Автор: S. G. Dani; Anish Ghosh Название: Geometric and Ergodic Aspects of Group Actions ISBN: 9811506825 ISBN-13(EAN): 9789811506826 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Поставка под заказ.
Описание: This book gathers papers on recent advances in the ergodic theory of group actions on homogeneous spaces and on geometrically finite hyperbolic manifolds presented at the workshop “Geometric and Ergodic Aspects of Group Actions,” organized by the Tata Institute of Fundamental Research, Mumbai, India, in 2018. Written by eminent scientists, and providing clear, detailed accounts of various topics at the interface of ergodic theory, the theory of homogeneous dynamics, and the geometry of hyperbolic surfaces, the book is a valuable resource for researchers and advanced graduate students in mathematics.
Название: Set-Theoretic Methods in Control ISBN: 3319179322 ISBN-13(EAN): 9783319179322 Издательство: Springer Рейтинг: Цена: 18167.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The second edition of this monograph describes the set-theoretic approach for the control and analysis of dynamic systems, both from a theoretical and practical standpoint.
Автор: J. Bertrand; M. Flato; J.-P. Gazeau; M. Irac-Astau Название: Modern Group Theoretical Methods in Physics ISBN: 9048145988 ISBN-13(EAN): 9789048145980 Издательство: Springer Рейтинг: Цена: 30467.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Proceedings of the Conference in honour of Guy Rideau
Описание: The conference was attended by over one hundred people and the participants included five mathematical generations Professor Mackey`s mathematical father, Marshall Stone, many mathematical children, grandchildren, and at least one mathematical great-grandchild.
Название: A group theoretic approach to quantum information ISBN: 3319452398 ISBN-13(EAN): 9783319452395 Издательство: Springer Рейтинг: Цена: 7965.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book is the first one addressing quantum information from the viewpoint of group symmetry. Quantum systems have a group symmetrical structure. This structure enables to handle systematically quantum information processing. However, there is no other textbook focusing on group symmetry for quantum information although there exist many textbooks for group representation. After the mathematical preparation of quantum information, this book discusses quantum entanglement and its quantification by using group symmetry. Group symmetry drastically simplifies the calculation of several entanglement measures although their calculations are usually very difficult to handle. This book treats optimal information processes including quantum state estimation, quantum state cloning, estimation of group action and quantum channel etc. Usually it is very difficult to derive the optimal quantum information processes without asymptotic setting of these topics. However, group symmetry allows to derive these optimal solutions without assuming the asymptotic setting. Next, this book addresses the quantum error correcting code with the symmetric structure of Weyl-Heisenberg groups. This structure leads to understand the quantum error correcting code systematically. Finally, this book focuses on the quantum universal information protocols by using the group SU(d). This topic can be regarded as a quantum version of the Csiszar-Korner's universal coding theory with the type method. The required mathematical knowledge about group representation is summarized in the companion book, Group Representation for Quantum Theory.
Автор: V.K. Andreev; O.V. Kaptsov; Vladislav V. Pukhnache Название: Applications of Group-Theoretical Methods in Hydrodynamics ISBN: 9048150833 ISBN-13(EAN): 9789048150830 Издательство: Springer Рейтинг: Цена: 37734.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: It was long ago that group analysis of differential equations became a powerful tool for studying nonlinear equations and boundary value problems. We consider it justifiable to enrich the set of exact solutions with rank one and rank two in- variant and partially invariant solutions to the equations of hydrodynamics.
Описание: This volume focuses on developments in the field of group theory in its broadest sense and is of interest to theoretical and experimental physicists, mathematicians, and scientists in related disciplines who are interested in the latest methods and applications. In an increasingly ultra-specialized world, this volume will demonstrate the interchange of ideas and methods in theoretical and mathematical physics.
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