Series, Caroline
Overview
Works:  32 works in 105 publications in 3 languages and 4,356 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Editor, Author 
Classifications:  QA614.86, 514.742 
Publication Timeline
.
Most widely held works by
Caroline Series
Indra's pearls : the vision of Felix Klein by
David Mumford(
Book
)
23 editions published between 2000 and 2008 in English and Undetermined and held by 496 WorldCat member libraries worldwide
"Felix Klein, one of the great nineteenthcentury geometers, discovered in mathematics an idea prefigured in Buddhist mythology: the heaven of Indra contained a net of pearls, each of which was reflected in its neighbour, so that the whole Universe was mirrored in each pearl. Klein studied infinitely repeated reflections and was led to forms with multiple coexisting symmetries, each simple in itself, but whose interactions produce fractals on the edge of chaos. For a century these images, which were practically impossible to draw by hand, barely existed outside the imagination of mathematicians. However in the 1980s the authors embarked on the first computer exploration of Klein's vision, and in so doing found further extraordinary images of their own. Join the authors on the path from some basic mathemathical ideas to the simple algorithms that create the delicate fractal filigrees, most of which have never appeared in print before. Beginners can learn to understand what the images mean and follow the stepbystep instructions for writing computer programs that generate them. More advanced readers can see how the images relate to ideas that take them to the forefront of research."Jacket
23 editions published between 2000 and 2008 in English and Undetermined and held by 496 WorldCat member libraries worldwide
"Felix Klein, one of the great nineteenthcentury geometers, discovered in mathematics an idea prefigured in Buddhist mythology: the heaven of Indra contained a net of pearls, each of which was reflected in its neighbour, so that the whole Universe was mirrored in each pearl. Klein studied infinitely repeated reflections and was led to forms with multiple coexisting symmetries, each simple in itself, but whose interactions produce fractals on the edge of chaos. For a century these images, which were practically impossible to draw by hand, barely existed outside the imagination of mathematicians. However in the 1980s the authors embarked on the first computer exploration of Klein's vision, and in so doing found further extraordinary images of their own. Join the authors on the path from some basic mathemathical ideas to the simple algorithms that create the delicate fractal filigrees, most of which have never appeared in print before. Beginners can learn to understand what the images mean and follow the stepbystep instructions for writing computer programs that generate them. More advanced readers can see how the images relate to ideas that take them to the forefront of research."Jacket
Ergodic theory, symbolic dynamics, and hyperbolic spaces(
Book
)
10 editions published between 1991 and 1992 in English and Undetermined and held by 304 WorldCat member libraries worldwide
10 editions published between 1991 and 1992 in English and Undetermined and held by 304 WorldCat member libraries worldwide
Spaces of Kleinian groups(
Book
)
10 editions published in 2006 in English and held by 225 WorldCat member libraries worldwide
Important and original research in the fastdeveloping subject of Kleinian groups and hyperbolic 3manifolds
10 editions published in 2006 in English and held by 225 WorldCat member libraries worldwide
Important and original research in the fastdeveloping subject of Kleinian groups and hyperbolic 3manifolds
Kleinian groups and hyperbolic 3manifolds : proceedings of the Warwick Workshop, September 1114, 2001 by
Y Komori(
Book
)
11 editions published in 2003 in English and held by 225 WorldCat member libraries worldwide
The subject of Kleinian groups and hyperbolic 3manifolds is currently undergoing explosively fast development, with many old problems and conjectures close to resolution. This volume, proceedings of the Warwick workshop in September 2001, contains expositions of many of these breakthroughs including Minsky's lectures on the first half of the proof of the Ending Lamination Conjecture, the Bers Density Conjecture by Brock and Bromberg, the Tameness Conjecture by Kleineidam and Souto, the state of the art in cone manifolds by Hodgson and Kerckhoff, and the counter example to Thurston's K=2 conjecture by Epstein, Marden and Markovic. It also contains Jorgensen's famous paper 'On pairs of once punctured tori' in print for the first time. The excellent collection of papers here will appeal to graduate students, who will find much here to inspire them, and established researchers who will find this valuable as a snapshot of current research
11 editions published in 2003 in English and held by 225 WorldCat member libraries worldwide
The subject of Kleinian groups and hyperbolic 3manifolds is currently undergoing explosively fast development, with many old problems and conjectures close to resolution. This volume, proceedings of the Warwick workshop in September 2001, contains expositions of many of these breakthroughs including Minsky's lectures on the first half of the proof of the Ending Lamination Conjecture, the Bers Density Conjecture by Brock and Bromberg, the Tameness Conjecture by Kleineidam and Souto, the state of the art in cone manifolds by Hodgson and Kerckhoff, and the counter example to Thurston's K=2 conjecture by Epstein, Marden and Markovic. It also contains Jorgensen's famous paper 'On pairs of once punctured tori' in print for the first time. The excellent collection of papers here will appeal to graduate students, who will find much here to inspire them, and established researchers who will find this valuable as a snapshot of current research
Geometry, topology and dynamics of character varieties by
William Mark Goldman(
Book
)
15 editions published between 2011 and 2012 in English and held by 60 WorldCat member libraries worldwide
This volume is based on lectures given at the highly successful threeweek Summer School on Geometry, Topology and Dynamics of Character Varieties held at the National University of Singapore's Institute for Mathematical Sciences in July 2010. Aimed at graduate students in the early stages of research, the edited and refereed articles comprise an excellent introduction to the subject of the program, much of which is otherwise available only in specialized texts. Topics include hyperbolic structures on surfaces and their degenerations, applications of pingpong lemmas in various contexts, intro
15 editions published between 2011 and 2012 in English and held by 60 WorldCat member libraries worldwide
This volume is based on lectures given at the highly successful threeweek Summer School on Geometry, Topology and Dynamics of Character Varieties held at the National University of Singapore's Institute for Mathematical Sciences in July 2010. Aimed at graduate students in the early stages of research, the edited and refereed articles comprise an excellent introduction to the subject of the program, much of which is otherwise available only in specialized texts. Topics include hyperbolic structures on surfaces and their degenerations, applications of pingpong lemmas in various contexts, intro
The Epstein birthday schrift : papers delivered to David Epstein on the occasion of his 60th birthday, 16 May 1997(
Book
)
8 editions published in 1998 in English and held by 32 WorldCat member libraries worldwide
8 editions published in 1998 in English and held by 32 WorldCat member libraries worldwide
Indora no shinju : kurain no yumemita sekai(
Book
)
2 editions published in 2013 in Japanese and held by 3 WorldCat member libraries worldwide
2 editions published in 2013 in Japanese and held by 3 WorldCat member libraries worldwide
Frattali, riflessioni e distorsioni by
Caroline Series(
)
1 edition published in 1992 in Italian and held by 2 WorldCat member libraries worldwide
1 edition published in 1992 in Italian and held by 2 WorldCat member libraries worldwide
Limits of limit sets by
Mahan Mj(
Book
)
2 editions published between 2011 and 2013 in English and held by 2 WorldCat member libraries worldwide
2 editions published between 2011 and 2013 in English and held by 2 WorldCat member libraries worldwide
Algebraic linearity for an automorphism of a surface group by Joan S Briman(
)
1 edition published in 1985 in English and held by 1 WorldCat member library worldwide
1 edition published in 1985 in English and held by 1 WorldCat member library worldwide
Simple curves have Hausdorff dimension one by
Joan S Birman(
)
1 edition published in 1983 in English and held by 1 WorldCat member library worldwide
1 edition published in 1983 in English and held by 1 WorldCat member library worldwide
Symbolic dynamics for geodesic flows by
Caroline Series(
)
1 edition published in 1979 in English and held by 1 WorldCat member library worldwide
1 edition published in 1979 in English and held by 1 WorldCat member library worldwide
Geometrical Markov coding of geodisics on surfaces of constant negative curvature by
Caroline Series(
)
1 edition published in 1985 in English and held by 1 WorldCat member library worldwide
1 edition published in 1985 in English and held by 1 WorldCat member library worldwide
Pleating invariants for punctured torus groups by Linda Keen(
Book
)
1 edition published in 1998 in English and held by 1 WorldCat member library worldwide
1 edition published in 1998 in English and held by 1 WorldCat member library worldwide
The infinite word problem and limit sets in Fuchsian groups by
Caroline Series(
)
1 edition published in 1980 in English and held by 1 WorldCat member library worldwide
1 edition published in 1980 in English and held by 1 WorldCat member library worldwide
Women and mathematics across cultures(
Visual
)
1 edition published in 1996 in English and held by 1 WorldCat member library worldwide
1 edition published in 1996 in English and held by 1 WorldCat member library worldwide
Markov maps associated with Fuchsian groups by
Rufus Bowen(
Book
)
1 edition published in 1978 in English and held by 1 WorldCat member library worldwide
1 edition published in 1978 in English and held by 1 WorldCat member library worldwide
Bounded cohomology for surface groups by Robert Brooks(
)
1 edition published in 1981 in English and held by 1 WorldCat member library worldwide
1 edition published in 1981 in English and held by 1 WorldCat member library worldwide
On Kerckhoff minima and pleating loci for quasifuchsian groups by
Caroline Series(
Book
)
1 edition published in 2000 in English and held by 1 WorldCat member library worldwide
1 edition published in 2000 in English and held by 1 WorldCat member library worldwide
Martin boundaries of random walks on Fuchsian groups by
Caroline Series(
Book
)
1 edition published in 1981 in English and held by 1 WorldCat member library worldwide
1 edition published in 1981 in English and held by 1 WorldCat member library worldwide
more
fewer
Audience Level
0 

1  
Kids  General  Special 
Related Identities
 Mumford, David 1937 Author
 Wright, David James
 Klein, Felix 18491925
 Indra (Hindu deity)
 Komori, Y. (Yohei) Author Editor
 Markovic, V. (Vladimir) Editor
 Goldman, William Author Editor
 Tan, Ser Peow Editor
 Keane, M. S. (Michael S.) Editor
 Bedford, T. Editor
Useful Links
Associated Subjects
Differentiable dynamical systems Differential topology Direct marketing Epstein, D. B. A Ergodic theory Finite geometries Fractals Geometric quantization Geometry Geometry, Differential Geometry, Hyperbolic Group theory Indra (Hindu deity) Klein, Felix, Kleinian groups Lowdimensional topology Mathematical physics Quantum field theory Random walks (Mathematics) Symbolic dynamics Symmetry Threemanifolds (Topology) Topology Women mathematicians