| 期刊全稱 | Algorithmic and Geometric Topics Around Free Groups and Automorphisms | | 影響因子2023 | Javier Aramayona,Volker Diekert,Armin Wei?,Juan Go | | 視頻video | http://file.papertrans.cn/154/153017/153017.mp4 | | 發(fā)行地址 | Features a comprehensive introduction to the connections between formal language theory and group theory.Includes Thurston‘s compactification of Teichmüller space following the point of view of geodes | | 學(xué)科分類 | Advanced Courses in Mathematics - CRM Barcelona | | 圖書封面 |  | | 影響因子 | .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.. | | Pindex | Textbook 2017 |
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