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Ergodic Theoretic Methods in Group Homology: A Minicourse on L2-Betti Numbers in Group Theory, Lцh Clara


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Автор: Lцh Clara
Название:  Ergodic Theoretic Methods in Group Homology: A Minicourse on L2-Betti Numbers in Group Theory
ISBN: 9783030442194
Издательство: Springer
Классификация:



ISBN-10: 3030442195
Обложка/Формат: Paperback
Страницы: 114
Вес: 0.19 кг.
Дата издания: 15.03.2020
Серия: Springerbriefs in mathematics
Язык: English
Издание: 1st ed. 2020
Иллюстрации: 1 illustrations, black and white; ix, 114 p. 1 illus.
Размер: 23.39 x 15.60 x 0.69 cm
Читательская аудитория: Professional & vocational
Подзаголовок: A minicourse on l2-betti numbers in group theory
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This book offers a concise introduction to ergodic methods in group homology, with a particular focus on the computation of L2-Betti numbers.Group homology integrates group actions into homological structure.


Operator Theoretic Aspects of Ergodic 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: 9781.00 р.
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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.

A group theoretic approach to quantum information

Название: A group theoretic approach to quantum information
ISBN: 3319452398 ISBN-13(EAN): 9783319452395
Издательство: Springer
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Цена: 7965.00 р.
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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.

Set-Theoretic Methods in Control

Название: Set-Theoretic Methods in Control
ISBN: 3319179322 ISBN-13(EAN): 9783319179322
Издательство: Springer
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Цена: 18167.00 р.
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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.

Symmetries And Groups In Contemporary Physics - Proceedings Of The Xxix International Colloquium On Group-Theoretical Methods In Physics

Автор: Bai Chengming Et Al
Название: Symmetries And Groups In Contemporary Physics - Proceedings Of The Xxix International Colloquium On Group-Theoretical Methods In Physics
ISBN: 9814518549 ISBN-13(EAN): 9789814518543
Издательство: World Scientific Publishing
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Цена: 33264.00 р.
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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.

Geometric and Ergodic Aspects of Group Actions

Автор: S. G. Dani; Anish Ghosh
Название: Geometric and Ergodic Aspects of Group Actions
ISBN: 9811506825 ISBN-13(EAN): 9789811506826
Издательство: Springer
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Цена: 13974.00 р.
Наличие на складе: Нет в наличии.

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.

Group and Ring Theoretic Properties of Polycyclic Groups

Автор: Bertram Wehrfritz
Название: Group and Ring Theoretic Properties of Polycyclic Groups
ISBN: 1447125304 ISBN-13(EAN): 9781447125303
Издательство: Springer
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Цена: 11878.00 р.
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Описание: The first half of this book develops the standard group theoretic techniques for studying polycyclic groups and their basic properties. The second half focuses specifically on the ring theoretic properties of polycyclic groups and their applications.

A Group Theoretic Approach to Quantum Information

Автор: Hayashi Masahito
Название: A Group Theoretic Approach to Quantum Information
ISBN: 3319832484 ISBN-13(EAN): 9783319832487
Издательство: Springer
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Цена: 6986.00 р.
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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.

Imperfect Bifurcation in Structures and Materials: Engineering Use of Group-Theoretic Bifurcation Theory

Автор: Ikeda Kiyohiro, Murota Kazuo
Название: Imperfect Bifurcation in Structures and Materials: Engineering Use of Group-Theoretic Bifurcation Theory
ISBN: 3030214753 ISBN-13(EAN): 9783030214753
Издательство: Springer
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Цена: 6986.00 р.
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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.

Homology in Group Theory

Автор: Urs Stammbach
Название: Homology in Group Theory
ISBN: 3540065695 ISBN-13(EAN): 9783540065692
Издательство: Springer
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Цена: 3487.00 р.
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Physical and Mathematical Aspects of Symmetries: Proceedings of the 31st International Colloquium in Group Theoretical Methods in Physics

Автор: Duarte Sergio, Gazeau Jean-Pierre, Faci Sofiane
Название: Physical and Mathematical Aspects of Symmetries: Proceedings of the 31st International Colloquium in Group Theoretical Methods in Physics
ISBN: 331988722X ISBN-13(EAN): 9783319887227
Издательство: Springer
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Цена: 20962.00 р.
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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.

Modern Group Theoretical Methods in Physics

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
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Цена: 30467.00 р.
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Описание: Proceedings of the Conference in honour of Guy Rideau

Applications of Group-Theoretical Methods in Hydrodynamics

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
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Цена: 37734.00 р.
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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.


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