Shift Spaces On Groups

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Shift Spaces on Groups

Author : Sebastián Andrés Barbieri Lemp
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (993 download)

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Book Synopsis Shift Spaces on Groups by : Sebastián Andrés Barbieri Lemp

Download or read book Shift Spaces on Groups written by Sebastián Andrés Barbieri Lemp and published by . This book was released on 2017 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Shift spaces are sets of colorings of a group which avoid a set of forbidden patterns and are endowed with a shift action. These spaces appear naturally as discrete versions of dynamical systems: they are obtained by partitioning the phase space and mapping each element into the sequence of partitions visited by its orbit.Severa! breakthroughs in this domain have pointed out the intricate relationship between dynamics of shift spaces and their computability properties. One remarkable example is the classification of the entropies of multidimensional subshifts of finite type as the set of right recursively enumerable numbers. This work explores shift spaces with a dual approach: on the one hand we are interested in their dynamical properties and on the ether hand we studythese abjects as computational models.Four salient results have been obtained as a result of this approach: (1) a combinatorial condition ensuring non-emptiness of subshifts on arbitrary countable groups; (2) a simulation theorem which realizes effective actions of finitely generated groups as factors of a subaction of a subshift of finite type; (3) a characterization of effectiveness with oracles using generalized Turing machines and (4) the undecidability of the torsion problem for two group invariants of shift spaces.As byproducts of these results we obtain a simple proof of the existence of strongly aperiodic subshifts in countable groups. Furthermore, we realize them as subshifts of finite type in the case of a semidirect product of a d-dimensional integer lattice with a finitely generated group with decida ble word problem whenever d> 1.

Resolving Maps and the Dimension Group for Shifts of Finite Type

Author : Mike Boyle
Publisher : American Mathematical Soc.
ISBN 13 : 0821824406
Total Pages : 157 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Resolving Maps and the Dimension Group for Shifts of Finite Type by : Mike Boyle

Download or read book Resolving Maps and the Dimension Group for Shifts of Finite Type written by Mike Boyle and published by American Mathematical Soc.. This book was released on 1987 with total page 157 pages. Available in PDF, EPUB and Kindle. Book excerpt: We give several results on necessary and sufficient conditions for the existence of special classes of maps from one shift of finite type onto another of the same entropy. The classes we study include eventual right closing maps, common right closing extensions, and stable right closing maps. Some analogous results for sofic systems are also given. The necessary and sufficient conditions are described algebraically in terms of the dimension group associated to a shift of finite type by W. Krieger.

Ergodic Dynamics

Author : Jane Hawkins
Publisher : Springer Nature
ISBN 13 : 3030592421
Total Pages : 340 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Ergodic Dynamics by : Jane Hawkins

Download or read book Ergodic Dynamics written by Jane Hawkins and published by Springer Nature. This book was released on 2021-01-28 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides a broad introduction to the fields of dynamical systems and ergodic theory. Motivated by examples throughout, the author offers readers an approachable entry-point to the dynamics of ergodic systems. Modern and classical applications complement the theory on topics ranging from financial fraud to virus dynamics, offering numerous avenues for further inquiry. Starting with several simple examples of dynamical systems, the book begins by establishing the basics of measurable dynamical systems, attractors, and the ergodic theorems. From here, chapters are modular and can be selected according to interest. Highlights include the Perron–Frobenius theorem, which is presented with proof and applications that include Google PageRank. An in-depth exploration of invariant measures includes ratio sets and type III measurable dynamical systems using the von Neumann factor classification. Topological and measure theoretic entropy are illustrated and compared in detail, with an algorithmic application of entropy used to study the papillomavirus genome. A chapter on complex dynamics introduces Julia sets and proves their ergodicity for certain maps. Cellular automata are explored as a series of case studies in one and two dimensions, including Conway’s Game of Life and latent infections of HIV. Other chapters discuss mixing properties, shift spaces, and toral automorphisms. Ergodic Dynamics unifies topics across ergodic theory, topological dynamics, complex dynamics, and dynamical systems, offering an accessible introduction to the area. Readers across pure and applied mathematics will appreciate the rich illustration of the theory through examples, real-world connections, and vivid color graphics. A solid grounding in measure theory, topology, and complex analysis is assumed; appendices provide a brief review of the essentials from measure theory, functional analysis, and probability.

An Introduction to Symbolic Dynamics and Coding

Author : Douglas Lind
Publisher : Cambridge University Press
ISBN 13 : 1108901964
Total Pages : 572 pages
Book Rating : 4.1/5 (89 download)

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Book Synopsis An Introduction to Symbolic Dynamics and Coding by : Douglas Lind

Download or read book An Introduction to Symbolic Dynamics and Coding written by Douglas Lind and published by Cambridge University Press. This book was released on 2021-01-21 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt: Symbolic dynamics is a mature yet rapidly developing area of dynamical systems. It has established strong connections with many areas, including linear algebra, graph theory, probability, group theory, and the theory of computation, as well as data storage, statistical mechanics, and $C^*$-algebras. This Second Edition maintains the introductory character of the original 1995 edition as a general textbook on symbolic dynamics and its applications to coding. It is written at an elementary level and aimed at students, well-established researchers, and experts in mathematics, electrical engineering, and computer science. Topics are carefully developed and motivated with many illustrative examples. There are more than 500 exercises to test the reader's understanding. In addition to a chapter in the First Edition on advanced topics and a comprehensive bibliography, the Second Edition includes a detailed Addendum, with companion bibliography, describing major developments and new research directions since publication of the First Edition.

Lectures on Groups and Vector Spaces for Physicists

Author : C. J. Isham
Publisher : World Scientific
ISBN 13 : 9789971509552
Total Pages : 232 pages
Book Rating : 4.5/5 (95 download)

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Book Synopsis Lectures on Groups and Vector Spaces for Physicists by : C. J. Isham

Download or read book Lectures on Groups and Vector Spaces for Physicists written by C. J. Isham and published by World Scientific. This book was released on 1989 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: These notes are the contents of a lecture course given to third year physics undergraduates at the Imperial College who are taking the theoretical physics option. The subject of ?Algebra and Groups? is of considerable importance in a number of branches of modern theoretical physics, and therefore one major objective of the course is to introduce the students to the basic ideas on the subject, bearing in mind the potential applications to quantum theory. However, another equally important aim of the course is to introduce the student to the art of genuine ?mathematical? thinking. The notes are therefore written in a more precise mathematical style than is usually the case in courses aimed at physics students. Quite apart from the general educational value of such an exposure to abstract thinking, it is also the case that much modern theoretical physics draws on sophisticated ideas from pure mathematics and therefore it is most important that a perspective graduate student can approach these subjects without experiencing a total culture shock! The course is divided into three parts. The first is a short introduction to general group theory, with particular emphasis being placed on the matrix Lie groups that play such a crucial role in modern theoretical physics. The second part deals with the theory of vector spaces, with particular attention being paid to the theory of Hilbert spaces and the basic analytical techniques that are needed to handle the infinite dimensional situation. The final part of the course is a short introduction to the theory of group representations and the associated theory of characters.

Profinite Semigroups and Symbolic Dynamics

Author : Jorge Almeida
Publisher : Springer Nature
ISBN 13 : 3030552152
Total Pages : 278 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Profinite Semigroups and Symbolic Dynamics by : Jorge Almeida

Download or read book Profinite Semigroups and Symbolic Dynamics written by Jorge Almeida and published by Springer Nature. This book was released on 2020-09-10 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes the relation between profinite semigroups and symbolic dynamics. Profinite semigroups are topological semigroups which are compact and residually finite. In particular, free profinite semigroups can be seen as the completion of free semigroups with respect to the profinite metric. In this metric, two words are close if one needs a morphism on a large finite monoid to distinguish them. The main focus is on a natural correspondence between minimal shift spaces (closed shift-invariant sets of two-sided infinite words) and maximal J-classes (certain subsets of free profinite semigroups). This correspondence sheds light on many aspects of both profinite semigroups and symbolic dynamics. For example, the return words to a given word in a shift space can be related to the generators of the group of the corresponding J-class. The book is aimed at researchers and graduate students in mathematics or theoretical computer science.

Retailising Space

Author : Mattias Kärrholm
Publisher : Ashgate Publishing, Ltd.
ISBN 13 : 1409430995
Total Pages : 172 pages
Book Rating : 4.4/5 (94 download)

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Book Synopsis Retailising Space by : Mattias Kärrholm

Download or read book Retailising Space written by Mattias Kärrholm and published by Ashgate Publishing, Ltd.. This book was released on 2012 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the past few years there has been a proliferation of new kinds of retail space, such as in libraries, workplaces, churches and museums. This book describes how the retailisation of public domains affects our everyday life and our use of the built environment. Taking an architectural and territorial perspective on this issue, it looks at how retail and consumption spaces have changed and territorialised urban life in different ways. It then develops a methodology and a set of concepts to describe and understand the role of architecture in these territorial transformations.

Holding Change

Author : adrienne maree brown
Publisher : AK Press
ISBN 13 : 1849354197
Total Pages : 115 pages
Book Rating : 4.8/5 (493 download)

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Book Synopsis Holding Change by : adrienne maree brown

Download or read book Holding Change written by adrienne maree brown and published by AK Press. This book was released on 2021-04-22 with total page 115 pages. Available in PDF, EPUB and Kindle. Book excerpt: Facilitation and mediation are important skills in our highly organized world. Holding Change is a guide for attending to both in ways that align with nature, with pleasure, with our best imaginings of our future. It provides lessons for generating the ease necessary to move through life’s inevitable struggles and for practicing the art of holding others without losing ourselves. Black feminists have evolved this wisdom, but it can serve anyone working to create change, individually, interpersonally, and within our organizations. The majority of the book is sourced from brown’s twenty-plus years of facilitation and mediation work, with additional wisdom from a selection of living Black feminist facilitators and mediators.

Symmetry Relationships between Crystal Structures

Author : Ulrich Müller
Publisher : OUP Oxford
ISBN 13 : 0191648795
Total Pages : 349 pages
Book Rating : 4.1/5 (916 download)

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Book Synopsis Symmetry Relationships between Crystal Structures by : Ulrich Müller

Download or read book Symmetry Relationships between Crystal Structures written by Ulrich Müller and published by OUP Oxford. This book was released on 2013-04-04 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: In crystal chemistry and crystal physics, the relations between the symmetry groups (space groups) of crystalline solids are of special importance. Part 1 of this book presents the necessary mathematical foundations and tools: the fundamentals of crystallography with special emphasis on symmetry, the theory of the crystallographic groups, and the formalisms of the needed crystallographic computations. Part 2 gives an insight into applications to problems in crystal chemistry. With the aid of numerous examples, it is shown how crystallographic group theory can be used to make evident relationships between crystal structures, to set up a systematic order in the huge amount of known crystal structures, to predict crystal structures, to analyse phase transitions and topotactic reactions in the solid state, to understand the formation of domains and twins in crystals, and to avoid errors in crystal structure determinations. A broad range of end-of-chapter exercises offers the possibility to apply the learned material. Worked-out solutions to the exercises can be found at the end of the book.

New Horizons in pro-p Groups

Author : Marcus du Sautoy
Publisher : Springer Science & Business Media
ISBN 13 : 9780817641719
Total Pages : 444 pages
Book Rating : 4.6/5 (417 download)

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Book Synopsis New Horizons in pro-p Groups by : Marcus du Sautoy

Download or read book New Horizons in pro-p Groups written by Marcus du Sautoy and published by Springer Science & Business Media. This book was released on 2000-05-25 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: A pro-p group is the inverse limit of some system of finite p-groups, that is, of groups of prime-power order where the prime - conventionally denoted p - is fixed. Thus from one point of view, to study a pro-p group is the same as studying an infinite family of finite groups; but a pro-p group is also a compact topological group, and the compactness works its usual magic to bring 'infinite' problems down to manageable proportions. The p-adic integers appeared about a century ago, but the systematic study of pro-p groups in general is a fairly recent development. Although much has been dis covered, many avenues remain to be explored; the purpose of this book is to present a coherent account of the considerable achievements of the last several years, and to point the way forward. Thus our aim is both to stimulate research and to provide the comprehensive background on which that research must be based. The chapters cover a wide range. In order to ensure the most authoritative account, we have arranged for each chapter to be written by a leading contributor (or contributors) to the topic in question. Pro-p groups appear in several different, though sometimes overlapping, contexts.

The STEM Shift

Author : Ann Myers
Publisher : Corwin Press
ISBN 13 : 1483393151
Total Pages : 193 pages
Book Rating : 4.4/5 (833 download)

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Book Synopsis The STEM Shift by : Ann Myers

Download or read book The STEM Shift written by Ann Myers and published by Corwin Press. This book was released on 2015-04-22 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: All you need to make the shift to STEM a reality! This resource makes the process of shifting to a comprehensive, integrated STEM school or district within reach! Invaluable case studies featuring STEM pioneers model how successful, STEM-centered learning takes place. You’ll find process-specific best practices and strategies to help you: Understand, create, and lead the STEM change proces Prepare the school community for STEM Integrate 21st Century Skills, the arts, and humanities Includes step-by-step checklists and visual mapping guides. Use this groundbreaking resource to systematically implement STEM instruction that prepares students for the global economy!

Ray Tracing and Beyond

Author : E. R. Tracy
Publisher : Cambridge University Press
ISBN 13 : 0521768063
Total Pages : 545 pages
Book Rating : 4.5/5 (217 download)

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Book Synopsis Ray Tracing and Beyond by : E. R. Tracy

Download or read book Ray Tracing and Beyond written by E. R. Tracy and published by Cambridge University Press. This book was released on 2014-02-27 with total page 545 pages. Available in PDF, EPUB and Kindle. Book excerpt: This complete introduction to the use of modern ray tracing techniques in plasma physics describes the powerful mathematical methods generally applicable to vector wave equations in non-uniform media, and clearly demonstrates the application of these methods to simplify and solve important problems in plasma wave theory. Key analytical concepts are carefully introduced as needed, encouraging the development of a visual intuition for the underlying methodology, with more advanced mathematical concepts succinctly explained in the appendices, and supporting Matlab and Raycon code available online. Covering variational principles, covariant formulations, caustics, tunnelling, mode conversion, weak dissipation, wave emission from coherent sources, incoherent wave fields, and collective wave absorption and emission, all within an accessible framework using standard plasma physics notation, this is an invaluable resource for graduate students and researchers in plasma physics.

Official Gazette of the United States Patent Office

Author : USA Patent Office
Publisher :
ISBN 13 :
Total Pages : 2556 pages
Book Rating : 4.0/5 (57 download)

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Book Synopsis Official Gazette of the United States Patent Office by : USA Patent Office

Download or read book Official Gazette of the United States Patent Office written by USA Patent Office and published by . This book was released on 1910 with total page 2556 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Perioperative Hemodynamic Monitoring and Goal Directed Therapy

Author : Maxime Cannesson
Publisher : Cambridge University Press
ISBN 13 : 1316061442
Total Pages : 301 pages
Book Rating : 4.3/5 (16 download)

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Book Synopsis Perioperative Hemodynamic Monitoring and Goal Directed Therapy by : Maxime Cannesson

Download or read book Perioperative Hemodynamic Monitoring and Goal Directed Therapy written by Maxime Cannesson and published by Cambridge University Press. This book was released on 2014-09-04 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique book provides clinicians and administrators with a comprehensive understanding of perioperative hemodynamic monitoring and goal directed therapy, emphasizing practical guidance for implementation at the bedside. Successful hemodynamic monitoring and goal directed therapy require a wide range of skills. This book will enable readers to: • Detail the rationale for using perioperative hemodynamic monitoring systems and for applying goal directed therapy protocols at the bedside • Understand the physiological concepts underlying perioperative goal directed therapy for hemodynamic management • Evaluate hemodynamic monitoring systems in clinical practice • Learn about new techniques for achieving goal directed therapy • Apply goal directed therapy protocols in the perioperative environment (including emergency departments, operating rooms and intensive care units) • Demonstrate clinical utility of GDT and hemodynamic optimization using case presentations. Illustrated with diagrams and case examples, this is an important resource for anesthesiologists, emergency physicians, intensivists and pneumonologists as well as nurses and administrative officers.

Designing Knowledge Organizations

Author : Joseph Morabito
Publisher : John Wiley & Sons
ISBN 13 : 1119078776
Total Pages : 446 pages
Book Rating : 4.1/5 (19 download)

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Book Synopsis Designing Knowledge Organizations by : Joseph Morabito

Download or read book Designing Knowledge Organizations written by Joseph Morabito and published by John Wiley & Sons. This book was released on 2017-07-14 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: A pedagogical approach to the principles and architecture of knowledge management in organizations This textbook is based on a graduate course taught at Stevens Institute of Technology. It focuses on the design and management of today's complex K organizations. A K organization is any company that generates and applies knowledge. The text takes existing ideas from organizational design and knowledge management to enhance and elevate each through harmonization with concepts from other disciplines. The authors—noted experts in the field—concentrate on both micro- and macro design and their interrelationships at individual, group, work, and organizational levels. A key feature of the textbook is an incisive discussion of the cultural, practice, and social aspects of knowledge management. The text explores the processes, tools, and infrastructures by which an organization can continuously improve, maintain, and exploit all elements of its knowledge base that are most relevant to achieve its strategic goals. The book seamlessly intertwines the disciplines of organizational design and knowledge management and offers extensive discussions, illustrative examples, student exercises, and visualizations. The following major topics are addressed: Knowledge management, intellectual capital, and knowledge systems Organizational design, behavior, and architecture Organizational strategy, change, and development Leadership and innovation Organizational culture and learning Social networking, communications, and collaboration Strategic human resources; e.g., hiring K workers and performance reviews Knowledge science, thinking, and creativity Philosophy of knowledge and information Information, knowledge, social, strategy, and contract continuums Information management and intelligent systems; e.g., business intelligence, big data, and cognitive systems Designing Knowledge Organizations takes an interdisciplinary and original approach to assess and synthesize the disciplines of knowledge management and organizational design, drawing upon conceptual underpinnings and practical experiences in these and related areas.

Nuclear Science Abstracts

Author :
Publisher :
ISBN 13 :
Total Pages : 1038 pages
Book Rating : 4.0/5 ( download)

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Book Synopsis Nuclear Science Abstracts by :

Download or read book Nuclear Science Abstracts written by and published by . This book was released on 1967-05 with total page 1038 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematics

Author : A. D. Aleksandrov
Publisher : Courier Corporation
ISBN 13 : 0486157873
Total Pages : 1123 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Mathematics by : A. D. Aleksandrov

Download or read book Mathematics written by A. D. Aleksandrov and published by Courier Corporation. This book was released on 2012-05-07 with total page 1123 pages. Available in PDF, EPUB and Kindle. Book excerpt: Major survey offers comprehensive, coherent discussions of analytic geometry, algebra, differential equations, calculus of variations, functions of a complex variable, prime numbers, linear and non-Euclidean geometry, topology, functional analysis, more. 1963 edition.