EAN: 9783319609393

Bilder-Quelle: discount24.de - Sport-Freizeit

This volume presents the lecture notes from the authors' three summer courses offered during the program Automorphisms of Free Groups: Geometry Topology and Dynamics held at the Centre de Recerca Matemàtica (CRM) in Bellaterra Spain. The first two chapters present the basic tools needed from formal language theory (regular and context-free languages automata rewriting systems transducers etc) and emphasize their connections to group theory mostly relating to free and virtually-free groups. The material covered is sufficient to present full proofs of many of the existing interesting characterizations of virtually-free groups. In turn the last chapter comprehensively describes Bonahon's construction of Thurston's compactification of Teichmüller space in terms of geodesic currents on surfaces. It also includes several intriguing extensions of the notion of geodesic current to various other more general settings.

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