Flexibility of Group Actions on the Circle

Flexibility of Group Actions on the Circle PDF Author: Sang-hyun Kim
Publisher: Springer
ISBN: 3030028550
Category : Mathematics
Languages : en
Pages : 140

Get Book Here

Book Description
In this partly expository work, a framework is developed for building exotic circle actions of certain classical groups. The authors give general combination theorems for indiscrete isometry groups of hyperbolic space which apply to Fuchsian and limit groups. An abundance of integer-valued subadditive defect-one quasimorphisms on these groups follow as a corollary. The main classes of groups considered are limit and Fuchsian groups. Limit groups are shown to admit large collections of faithful actions on the circle with disjoint rotation spectra. For Fuchsian groups, further flexibility results are proved and the existence of non-geometric actions of free and surface groups is established. An account is given of the extant notions of semi-conjugacy, showing they are equivalent. This book is suitable for experts interested in flexibility of representations, and for non-experts wanting an introduction to group representations into circle homeomorphism groups.

Flexibility of Group Actions on the Circle

Flexibility of Group Actions on the Circle PDF Author: Sang-hyun Kim
Publisher: Springer
ISBN: 3030028550
Category : Mathematics
Languages : en
Pages : 140

Get Book Here

Book Description
In this partly expository work, a framework is developed for building exotic circle actions of certain classical groups. The authors give general combination theorems for indiscrete isometry groups of hyperbolic space which apply to Fuchsian and limit groups. An abundance of integer-valued subadditive defect-one quasimorphisms on these groups follow as a corollary. The main classes of groups considered are limit and Fuchsian groups. Limit groups are shown to admit large collections of faithful actions on the circle with disjoint rotation spectra. For Fuchsian groups, further flexibility results are proved and the existence of non-geometric actions of free and surface groups is established. An account is given of the extant notions of semi-conjugacy, showing they are equivalent. This book is suitable for experts interested in flexibility of representations, and for non-experts wanting an introduction to group representations into circle homeomorphism groups.

Structure and Regularity of Group Actions on One-Manifolds

Structure and Regularity of Group Actions on One-Manifolds PDF Author: Sang-hyun Kim
Publisher: Springer Nature
ISBN: 3030890066
Category : Mathematics
Languages : en
Pages : 323

Get Book Here

Book Description
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.

Child Welfare for the Twenty-first Century

Child Welfare for the Twenty-first Century PDF Author: Gerald P. Mallon
Publisher: Columbia University Press
ISBN: 0231525354
Category : Social Science
Languages : en
Pages : 771

Get Book Here

Book Description
The Adoption and Safe Families Act (ASFA), which became law in 1997, elicited a major shift in federal policy and thinking toward child welfare, emphasizing children's safety, permanency, and well-being over preserving biological ties at all costs. The first edition of this volume mapped the field of child welfare after ASFA's passage, detailing the practices, policies, programs, and research affected by the legislation's new attitude toward care. This second edition highlights the continuously changing child welfare climate in the U.S., including content on the Fostering Connections Act of 2008. The authors have updated the text throughout, drawing from real-world case examples and data obtained from the national Child and Family Services Reviews and emerging empirically based practices. They have also added chapters addressing child welfare workforce issues, supervision, and research and evaluation. The volume is divided into four sections—child and adolescent well-being, child and adolescent safety, permanency for children and adolescents, and systemic issues within services, policies, and programs. Recognized scholars, practitioners, and policy makers discuss meaningful engagement with families, particularly Latino families; health care for children and youth, including mental health care; effective practices with LGBT youth and their families; placement stability; foster parent recruitment and retention; and the challenges of working with immigrant children, youth, and families.

Group Work

Group Work PDF Author: Sondra Brandler
Publisher: Routledge
ISBN: 1317653300
Category : Psychology
Languages : en
Pages : 203

Get Book Here

Book Description
The new edition of Group Work adds a focus on diversity and the use of self in group work, an area too often neglected in professional training but essential to meeting current competence standards set by the Council on Social Work Education. As in previous editions, students and professors will find thoughtful analyses of complicated value dilemmas and specific techniques for use in a diverse range of settings, including confrontations and situations where humor is appropriate. Complete with more games and exercises, an updated discussion of values and ethics, and an expanded skills section, Group Work also contains excerpts and discussions of case studies that can be applied to students’ own experiences and will serve as a valuable references for years to come.

Alternative Pursuits for America's 3rd Century

Alternative Pursuits for America's 3rd Century PDF Author: Louisa Messolonghites
Publisher:
ISBN:
Category : Drug abuse
Languages : en
Pages : 248

Get Book Here

Book Description
Explores the potential for alternative approaches to drug prevention.

The Collective Wisdom of Practice

The Collective Wisdom of Practice PDF Author: Chen Schechter
Publisher: Corwin Press
ISBN: 1544394136
Category : Education
Languages : en
Pages : 174

Get Book Here

Book Description
Leverage Professional Wisdom with Asset-Based Professional Learning Many professional learning designs are built on the assumption that we learn best by studying our failures. However, learning from failure often evokes responses of denial, avoidance and the same defensive dynamics that contributed to the failure in the first place. Schechter’s resource, presents the Collective Learning-from-Success approach. This fresh, new, assets-based framework will shift educators’ minds from focusing in isolation on failure to continuously deliberating together, sharing past experiences and best practices, and solving problems related to teaching and learning. Whether you serve as a teacher, school or district leader, or a policy maker, your professional growth will benefit by reflecting on actionable knowledge through collective inquiry. This book offers educators an opportunity to come together in forming a productive alternative to the learning from failure paradigm. The Collective Wisdom of Practice provides a model for how to learn from successes by providing • An assets-based approach to designing and implementing professional learning • Strategies to focus on learning from educators’ past successes • Multinational case studies, sample learning materials, templates, and tools • A framework that can be applied to multiple levels, such as grade and subject areas, building level, system level, and policy level Grounded in more than 20 years of extensive research in the US and internationally, this approach will have a powerful influence on professional learning. Learn to nurture your wisdom of practice to meet the challenge of preparing students to be co-creators of society.

Dr. Nicholas Romanov's Training Essays Volume I

Dr. Nicholas Romanov's Training Essays Volume I PDF Author: Nicholas S. Romanov
Publisher: Pose Tech Corp.
ISBN: 0972553789
Category : Biomechanics
Languages : en
Pages : 138

Get Book Here

Book Description


Information Literacy: Key to an Inclusive Society

Information Literacy: Key to an Inclusive Society PDF Author: Serap Kurbanoğlu
Publisher: Springer
ISBN: 3319521624
Category : Education
Languages : en
Pages : 744

Get Book Here

Book Description
This book constitutes revised selected papers from the 4th European Conference on Information Literacy, ECIL 2016, held in Prague, Czech Republic, in October 2016. The 52 full and 19 short papers presented in this volume were carefully reviewed and selected from 259 submissions. They were organized in topical sections named: inclusive society and democracy; employability and workplace; various literacies; reading preference: print vs electronic; theoretical aspects; higher education; discipline based studies; research methods; children and youth; country based studies; academic libraries; librarians; and teaching methods and instruction.

Scientific and Technical Aerospace Reports

Scientific and Technical Aerospace Reports PDF Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 368

Get Book Here

Book Description


In the Tradition of Thurston

In the Tradition of Thurston PDF Author: Ken’ichi Ohshika
Publisher: Springer Nature
ISBN: 3030559289
Category : Mathematics
Languages : en
Pages : 724

Get Book Here

Book Description
This book consists of 16 surveys on Thurston's work and its later development. The authors are mathematicians who were strongly influenced by Thurston's publications and ideas. The subjects discussed include, among others, knot theory, the topology of 3-manifolds, circle packings, complex projective structures, hyperbolic geometry, Kleinian groups, foliations, mapping class groups, Teichmüller theory, anti-de Sitter geometry, and co-Minkowski geometry. The book is addressed to researchers and students who want to learn about Thurston’s wide-ranging mathematical ideas and their impact. At the same time, it is a tribute to Thurston, one of the greatest geometers of all time, whose work extended over many fields in mathematics and who had a unique way of perceiving forms and patterns, and of communicating and writing mathematics.