This volume grew out from a one-semester research program at the Bernouilli Center (EPFL, Lausanne, Switzerland) from January to June 2007. The research articles and survey papers presented here highlight modern state of the art, current methods and open problems, and are of interest both to experts and graduate students in the fields of geometric combinatorics, theoretical computer science and geometric group theory (plus interactions between them). Indeed, the main research topics herein include the geometric, combinatorial and computational aspects of group theory. In particular, there is a focus on the study of large families of finite graphs with certain 'expanding' properties and their embeddings into Hilbert and Banach spaces. Specifically, the authors investigate the structure of finitely generated groups giving rise to such graphs; in addition, new interactions with broad areas of theoretical computer science are considered.
- 301 pages
- English
- PDF
- Available on iOS & Android
eBook - PDF
Limits of Graphs in Group Theory and Computer Science
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Table of contents
- Preface
- About the authors
- About the editors
- Contents
- On Tensor Products of Group C*- Algebras and Related Topics - Claire Anantharaman-Delaroche
- A Note on Laplace Operators on Groups - Tullio Ceccherini-Silberstein and Michel Coornaert
- Bounded Cohomology and Cross Ratios - Ursula Hamenstädt
- Metric Dichotomies - Manor Mendel
- Asymptotic Problems in Algebraic Structures - Victor M. Petrogradsky
- Spectral Analysis of Metric Graphs and Related Spaces - Olaf Post
- Manifestations of Nonlinear Roundness in Analysis, Discrete Geometry and Topology - Stratos Prassidis and Anthony Weston
- Fixed Point Properties in the Space of Marked Groups - Yves Stalder
- A Pastiche on Embeddings into Simple Groups (Following P. E. Schupp) - Zoran Sunic
- Some Notes on Property A - Rufus Willett
- Index
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Yes, you can access Limits of Graphs in Group Theory and Computer Science by Goulnara Arzhantseva, Alain Valette in PDF and/or ePUB format, as well as other popular books in Mathematics & Group Theory. We have over 1.5 million books available in our catalogue for you to explore.