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Dynamics Of Group Action
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Book Synopsis Ergodic Theory and Topological Dynamics of Group Actions on Homogeneous Spaces by : M. Bachir Bekka
Download or read book Ergodic Theory and Topological Dynamics of Group Actions on Homogeneous Spaces written by M. Bachir Bekka and published by Cambridge University Press. This book was released on 2000-05-11 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, first published in 2000, focuses on developments in the study of geodesic flows on homogenous spaces.
Book Synopsis Geometry, Rigidity, and Group Actions by : Robert J. Zimmer
Download or read book Geometry, Rigidity, and Group Actions written by Robert J. Zimmer and published by University of Chicago Press. This book was released on 2011-04-15 with total page 659 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of group actions is more than 100 years old but remains a widely studied topic in a variety of mathematic fields. A central development in the last 50 years is the phenomenon of rigidity, whereby one can classify actions of certain groups. This book looks at rigidity.
Book Synopsis Geometry and Dynamics of Groups and Spaces by : Mikhail Kapranov
Download or read book Geometry and Dynamics of Groups and Spaces written by Mikhail Kapranov and published by Springer Science & Business Media. This book was released on 2008-03-05 with total page 759 pages. Available in PDF, EPUB and Kindle. Book excerpt: Alexander Reznikov (1960-2003) was a brilliant and highly original mathematician. This book presents 18 articles by prominent mathematicians and is dedicated to his memory. In addition it contains an influential, so far unpublished manuscript by Reznikov of book length. The book further provides an extensive survey on Kleinian groups in higher dimensions and some articles centering on Reznikov as a person.
Download or read book Group Action written by Martin Ringer and published by Jessica Kingsley Publishers. This book was released on 2002-01-15 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author does a commendable job of taking what is known about groups, the unconscious, and psychodynamics in an academic sense, and grounding it in relevant experiential education examples. This book is appropriate for intermediate and advanced practitioners who want to stretch their own thinking about group processes and group management. Ringer's text provides a good bridge between academic journals (and contains an abundance of quality citations) and practical application related to group leadership. I [found] it engaging and thought provoking.' - Journal of Experiential Education 'Martin Ringer offers explanations of group processes with examples (both extensive and quite brief) that illustrate both concepts and strategies. Also a rare phenomenon, he positively encourages readers to relax their concentration on the written word and to think, make associations and learn by reflection on their own experiences of being leaders and members of groups.' - Leadership & Organization Development Journal 'It gives huge assistance to a thinking group-worker. [It] brings alternative viewpoints and slants of lighting that open up familiar territory in fresh and stimulating ways. Worth the read.' - ANZPA 2002 'The book's audience is not limited to those in training. Experienced group leaders will have their memories refreshed by his reviews of experimental learning and psychoanalytic and semi-systemic ways of understanding human and group behaviour practitionners in both the fields of adventure and group psychology will recognise that there is a maturity in Ringer's writing. He speaks from a profound understanding that comes from the practical lived level.' - Journal of Adventure Education and Outdoor Living 'In publishing this book, Martin Ringer has provided us with a companion for quiet reflection. It will support group leaders in developing insights into their own practice and in raising their conscious awareness. It is a counterpoint to the many texts that focus on recipes and heuristics for success. In contrast to these superficial quick fixes, the author offers a book that brings the reader to profound reflection...The book is invaluable as a companion to signpost directions for further inquiry and experience. It can act to stretch one's appreciation and understanding of group complexity... It is a book that rewards patient contemplation and delivers high returns for depth of study. As I journey through the troubled and pleasant waters of group life, Martin Ringer's book will be a companion to accompany my thinking and actions.' - Steve Kempster, MBA Programme Director, Lancaster University School of Management Groups provide a powerful medium for therapeutic work, and are the building blocks of all institutions - whether in the education, health, government, or private sectors. Martin Ringer, an internationally known consultant and writer on group psychology, here outlines techniques for understanding groups that will be relevant to those who lead teams in any setting. The result is an accessible guide both to leading a group, and to understanding the necessary dynamics that will result in the best team-work. Throughout, Martin Ringer uses his wide-ranging experience and an informal style to make his points as accessible as possible to all readers - whether or not they have a formal background in group psychology. Rich with new ideas and challenging perspectives, this book is strongly recommended for anyone who wants to improve their ability as a group leader. The author provides basic and fundamental reference points for leaders, whilst also encouraging them to adopt more experimental approaches.
Book Synopsis Dynamical Systems and Group Actions by : Lewis Bowen
Download or read book Dynamical Systems and Group Actions written by Lewis Bowen and published by American Mathematical Soc.. This book was released on 2012 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains cutting-edge research from leading experts in ergodic theory, dynamical systems and group actions. A large part of the volume addresses various aspects of ergodic theory of general group actions including local entropy theory, universal minimal spaces, minimal models and rank one transformations. Other papers deal with interval exchange transformations, hyperbolic dynamics, transfer operators, amenable actions and group actions on graphs.
Book Synopsis Ergodic Theory by : Manfred Einsiedler
Download or read book Ergodic Theory written by Manfred Einsiedler and published by Springer Science & Business Media. This book was released on 2010-09-11 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is a rigorous introduction to ergodic theory, developing the machinery of conditional measures and expectations, mixing, and recurrence. Beginning by developing the basics of ergodic theory and progressing to describe some recent applications to number theory, this book goes beyond the standard texts in this topic. Applications include Weyl's polynomial equidistribution theorem, the ergodic proof of Szemeredi's theorem, the connection between the continued fraction map and the modular surface, and a proof of the equidistribution of horocycle orbits. Ergodic Theory with a view towards Number Theory will appeal to mathematicians with some standard background in measure theory and functional analysis. No background in ergodic theory or Lie theory is assumed, and a number of exercises and hints to problems are included, making this the perfect companion for graduate students and researchers in ergodic theory, homogenous dynamics or number theory.
Book Synopsis Group Process, Group Decision, Group Action 2/E by : Baron, Robert
Download or read book Group Process, Group Decision, Group Action 2/E written by Baron, Robert and published by McGraw-Hill Education (UK). This book was released on 2003-03-01 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Open University text, part of the 'Mapping Social Psychology' series examines the processes involved when a group of people make a decision, or take action together.
Book Synopsis Group Actions in Ergodic Theory, Geometry, and Topology by : Robert J. Zimmer
Download or read book Group Actions in Ergodic Theory, Geometry, and Topology written by Robert J. Zimmer and published by University of Chicago Press. This book was released on 2019-12-23 with total page 724 pages. Available in PDF, EPUB and Kindle. Book excerpt: Robert J. Zimmer is best known in mathematics for the highly influential conjectures and program that bear his name. Group Actions in Ergodic Theory, Geometry, and Topology: Selected Papers brings together some of the most significant writings by Zimmer, which lay out his program and contextualize his work over the course of his career. Zimmer’s body of work is remarkable in that it involves methods from a variety of mathematical disciplines, such as Lie theory, differential geometry, ergodic theory and dynamical systems, arithmetic groups, and topology, and at the same time offers a unifying perspective. After arriving at the University of Chicago in 1977, Zimmer extended his earlier research on ergodic group actions to prove his cocycle superrigidity theorem which proved to be a pivotal point in articulating and developing his program. Zimmer’s ideas opened the door to many others, and they continue to be actively employed in many domains related to group actions in ergodic theory, geometry, and topology. In addition to the selected papers themselves, this volume opens with a foreword by David Fisher, Alexander Lubotzky, and Gregory Margulis, as well as a substantial introductory essay by Zimmer recounting the course of his career in mathematics. The volume closes with an afterword by Fisher on the most recent developments around the Zimmer program.
Book Synopsis Geometry, Rigidity, and Group Actions by : Benson Farb
Download or read book Geometry, Rigidity, and Group Actions written by Benson Farb and published by University of Chicago Press. This book was released on 2011-04-15 with total page 659 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of group actions is more than a hundred years old but remains to this day a vibrant and widely studied topic in a variety of mathematic fields. A central development in the last fifty years is the phenomenon of rigidity, whereby one can classify actions of certain groups, such as lattices in semi-simple Lie groups. This provides a way to classify all possible symmetries of important spaces and all spaces admitting given symmetries. Paradigmatic results can be found in the seminal work of George Mostow, Gergory Margulis, and Robert J. Zimmer, among others. The papers in Geometry, Rigidity, and Group Actions explore the role of group actions and rigidity in several areas of mathematics, including ergodic theory, dynamics, geometry, topology, and the algebraic properties of representation varieties. In some cases, the dynamics of the possible group actions are the principal focus of inquiry. In other cases, the dynamics of group actions are a tool for proving theorems about algebra, geometry, or topology. This volume contains surveys of some of the main directions in the field, as well as research articles on topics of current interest.
Book Synopsis Structure and Regularity of Group Actions on One-Manifolds by : Sang-hyun Kim
Download or read book Structure and Regularity of Group Actions on One-Manifolds written by Sang-hyun Kim and published by Springer Nature. This book was released on 2021-11-19 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the theory of optimal and critical regularities of groups of diffeomorphisms, from the classical work of Denjoy and Herman, up through recent advances. Beginning with an investigation of regularity phenomena for single diffeomorphisms, the book goes on to describes a circle of ideas surrounding Filipkiewicz's Theorem, which recovers the smooth structure of a manifold from its full diffeomorphism group. Topics covered include the simplicity of homeomorphism groups, differentiability of continuous Lie group actions, smooth conjugation of diffeomorphism groups, and the reconstruction of spaces from group actions. Various classical and modern tools are developed for controlling the dynamics of general finitely generated group actions on one-dimensional manifolds, subject to regularity bounds, including material on Thompson's group F, nilpotent groups, right-angled Artin groups, chain groups, finitely generated groups with prescribed critical regularities, and applications to foliation theory and the study of mapping class groups. The book will be of interest to researchers in geometric group theory.
Book Synopsis Handbook of Group Actions by : Lizhen Ji
Download or read book Handbook of Group Actions written by Lizhen Ji and published by . This book was released on 2015 with total page 602 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Group Actions in Ergodic Theory, Geometry, and Topology by : Robert J. Zimmer
Download or read book Group Actions in Ergodic Theory, Geometry, and Topology written by Robert J. Zimmer and published by University of Chicago Press. This book was released on 2019-12-23 with total page 724 pages. Available in PDF, EPUB and Kindle. Book excerpt: Robert J. Zimmer is best known in mathematics for the highly influential conjectures and program that bear his name. Group Actions in Ergodic Theory, Geometry, and Topology: Selected Papers brings together some of the most significant writings by Zimmer, which lay out his program and contextualize his work over the course of his career. Zimmer’s body of work is remarkable in that it involves methods from a variety of mathematical disciplines, such as Lie theory, differential geometry, ergodic theory and dynamical systems, arithmetic groups, and topology, and at the same time offers a unifying perspective. After arriving at the University of Chicago in 1977, Zimmer extended his earlier research on ergodic group actions to prove his cocycle superrigidity theorem which proved to be a pivotal point in articulating and developing his program. Zimmer’s ideas opened the door to many others, and they continue to be actively employed in many domains related to group actions in ergodic theory, geometry, and topology. In addition to the selected papers themselves, this volume opens with a foreword by David Fisher, Alexander Lubotzky, and Gregory Margulis, as well as a substantial introductory essay by Zimmer recounting the course of his career in mathematics. The volume closes with an afterword by Fisher on the most recent developments around the Zimmer program.
Download or read book Reading the Room written by David Kantor and published by John Wiley & Sons. This book was released on 2012-04-12 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Reading the Room, renowned systems psychologist and family therapist David Kantor applies his theory of structural dynamics to help leaders and coaches understand and improve communication within their teams. He helps readers understand how and why they and their teams communicate differently when faced with low-stakes or high-stakes situations, and he provides a framework to help improve leadership behavior in high-stakes situations. Acknowledging that early personal history and adult relationships have an impact on individual leadership and communication, the author discusses how leaders’ awareness of their personal histories can help them become more effective in their leadership teams. Armed with the information outlined in this groundbreaking book, coaches and leaders will be able to: intervene effectively to produce positive change in both the group’s dynamics and its outcomes, help people in the room alter their behavior to better reach their aspirations, identify the recurring sequences of behavior taking place in a group, understand why differing individual preferences for boundaries and rules affect their conversation, and much more. Written to help readers understand the reasons why leaders and teams get along—or don’t—when they communicate in a group, this book will serve as the leader’s “go-to” resource for insight and perspective in leading their team.
Book Synopsis Group Dynamics by : Norris M. Haynes
Download or read book Group Dynamics written by Norris M. Haynes and published by University Press of America. This book was released on 2012-02-15 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a clear and engaging description of group dynamic processes. Vignettes, case examples, and activities provide an experiential flavor to the book that will deepen the reader’s understanding of key concepts. Activities are also useful experiential teaching and learning tools for studying group dynamics and allow participants to engage in the group dynamic process itself. Another attractive feature of the book is a series of reflections by an individual who participated in an intensive two-weekend group experience. She shares her thoughts on the group’s progression through various stages of change and reflects upon its impact on her personal growth. Group Dynamics: Basics and Pragmatics for Practitioners will serve as an important text for students and professors and as a valuable guide for those who facilitate groups in a variety of clinical, counseling, educational, research, and organizational settings.
Book Synopsis Recurrence in Topological Dynamics by : Ethan Akin
Download or read book Recurrence in Topological Dynamics written by Ethan Akin and published by Springer Science & Business Media. This book was released on 1997-07-31 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: This groundbreaking volume is the first to elaborate the theory of set families as a tool for studying the phenomenon of recurrence. The theory is implicit in such seminal works as Hillel Furstenberg's Recurrence in Ergodic Theory and Combinational Number Theory, but Ethan Akin's study elaborates it in detail, defining such elements of theory as: open families of special subsets the unification of several ideas associated with transitivity, ergodicity, and mixing the Ellis theory of enveloping semigroups for compact dynamical systems and new notions of equicontinuity, distality, and rigidity.
Author :Karl Friedrich Siburg Publisher :Springer Science & Business Media ISBN 13 :9783540219446 Total Pages :148 pages Book Rating :4.2/5 (194 download)
Book Synopsis The Principle of Least Action in Geometry and Dynamics by : Karl Friedrich Siburg
Download or read book The Principle of Least Action in Geometry and Dynamics written by Karl Friedrich Siburg and published by Springer Science & Business Media. This book was released on 2004-05-17 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: New variational methods by Aubry, Mather, and Mane, discovered in the last twenty years, gave deep insight into the dynamics of convex Lagrangian systems. This book shows how this Principle of Least Action appears in a variety of settings (billiards, length spectrum, Hofer geometry, modern symplectic geometry). Thus, topics from modern dynamical systems and modern symplectic geometry are linked in a new and sometimes surprising way. The central object is Mather’s minimal action functional. The level is for graduate students onwards, but also for researchers in any of the subjects touched in the book.
Book Synopsis Self-Similar Groups by : Volodymyr Nekrashevych
Download or read book Self-Similar Groups written by Volodymyr Nekrashevych and published by American Mathematical Soc.. This book was released on 2005 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: Self-similar groups (groups generated by automata) initially appeared as examples of groups that are easy to define but have exotic properties like nontrivial torsion, intermediate growth, etc. This book studies the self-similarity phenomenon in group theory and shows its intimate relationship with dynamical systems and more classical self-similar structures, such as fractals, Julia sets, and self-affine tilings. This connection is established through the central topics of the book, which are the notions of the iterated monodromy group and limit space. A wide variety of examples and different applications of self-similar groups to dynamical systems and vice versa are discussed. In particular, it is shown that Julia sets can be reconstructed from the respective iterated monodromy groups and that groups with exotic properties can appear not just as isolated examples, but as naturally defined iterated monodromy groups of rational functions. The book offers important, new mathematics that will open new avenues of research in group theory and dynamical systems. It is intended to be accessible to a wide readership of professional mathematicians.
