WorldCat Identities

Vogtmann, Karen 1949-

Works: 7 works in 29 publications in 1 language and 182 library holdings
Roles: Editor, Translator, Author
Classifications: QA805, 531.01515
Publication Timeline
Most widely held works by Karen Vogtmann
Geometric group theory by Mladen Bestvina( Book )

9 editions published between 2014 and 2015 in English and held by 140 WorldCat member libraries worldwide

Cover -- Title page -- Contents -- Preface -- Introduction -- CAT(0) cube complexes and groups -- Geometric small cancellation -- Lectures on proper CAT(0) spaces and their isometry groups -- Lectures on quasi-isometric rigidity -- Geometry of outer space -- Some arithmetic groups that do not act on the circle -- Lectures on lattices and locally symmetric spaces -- Lectures on marked length spectrum rigidity -- Expander graphs, property ( ) and approximate groups -- Cube complexes, subgroups of mapping class groups, and nilpotent genus -- Back Cover
Mathematical methods of classical mechanics by V. I Arnolʹd( Book )

14 editions published between 1978 and 2010 in English and held by 35 WorldCat member libraries worldwide

In this text, the author constructs the mathematical apparatus of classical mechanics from the beginning, examining all the basic problems in dynamics, including the theory of oscillations, the theory of rigid body motion, and the Hamiltonian formalism. This modern approch, based on the theory of the geometry of manifolds, distinguishes iteself from the traditional approach of standard textbooks. Geometrical considerations are emphasized throughout and include phase spaces and flows, vector fields, and Lie groups. The work includes a detailed discussion of qualitative methods of the theory of dynamical systems and of asymptotic methods like perturbation techniques, averaging, and adiabatic invariance
The boundary of outer space in rank two by Marc Culler( Book )

1 edition published in 1989 in English and held by 2 WorldCat member libraries worldwide

Geometry of the space of phylogenetic trees by Louis J Billera( Book )

2 editions published in 2000 in English and held by 2 WorldCat member libraries worldwide

Geometric group theory (American Mathematical Society) by Mladen Bestvina( )

in Undetermined and held by 1 WorldCat member library worldwide

Translation surfaces : saddle connections, triangles and covering constructions by Chenxi Wu( )

1 edition published in 2016 in English and held by 1 WorldCat member library worldwide

This thesis focuses on 4 topics in the dynamics of translation surfaces. Firstly, we discusse the Deloné property of the set of the holonomy vectors of saddle connece tions on a translation surface. Next, we calculate the area of the smallest triangle and the area of the smallest virtual triangle for many classes of lattice surfaces. We describe all lattice surfaces for which the area of the smallest virtual triangle is greater than an explicit constant. Thirdly, many interesting examples of translation surfaces have been obtained through abelian covers of the pillowcase. We calculate the action of affine diffeomorphism group on the relative cohomology of an abelian cover of the pillowcase, extending the calculation of Alex Wright. Lastly, we determine which abelian covers of the flat pillowcase can be deformed into lattice surfaces. This gives a new context for understanding the Bouw-Moller construction
The cohomology of automosphism groups of free groups by Karen Vogtmann( )

1 edition published in 2006 in English and held by 1 WorldCat member library worldwide

Audience Level
Audience Level
  Kids General Special  
Audience level: 0.69 (from 0.63 for Mathematic ... to 0.94 for The cohomo ...)

Mathematical methods of classical mechanics
Alternative Names
Karen Vogtmann Amerikaans wiskundige

Karen Vogtmann amerikansk matematikar

Karen Vogtmann amerikansk matematiker

Karen Vogtmann US-amerikanische Mathematikerin

Vogtmann, K.

Vogtmann, Karen 1949-

Карен Фогтман

קרן ווגטמן

کارن وقتمن

English (28)