03569nam 22006375 450 991025429850332120251202151304.03-319-60940-810.1007/978-3-319-60940-9(CKB)4340000000223238(DE-He213)978-3-319-60940-9(MiAaPQ)EBC6314880(MiAaPQ)EBC5576565(Au-PeEL)EBL5576565(OCoLC)1066191531(PPN)221251952(EXLCZ)99434000000022323820171129d2017 u| 0engurnn#008mamaatxtrdacontentcrdamediacrrdacarrierAlgorithmic and Geometric Topics Around Free Groups and Automorphisms /by Javier Aramayona, Volker Diekert, Christopher J. Leininger, Pedro V. Silva, Armin Weiß ; edited by Juan González-Meneses, Martin Lustig, Enric Ventura1st ed. 2017.Cham :Springer International Publishing :Imprint: Birkhäuser,2017.1 online resource (IX, 151 p. 27 illus.)Advanced Courses in Mathematics - CRM Barcelona,2297-03123-319-60939-4 Includes bibliographical references.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.Advanced Courses in Mathematics - CRM Barcelona,2297-0312Group theoryComputer scienceMathematicsGroup Theory and GeneralizationsMathematical Applications in Computer ScienceGroup theory.Computer scienceMathematics.Group Theory and Generalizations.Mathematical Applications in Computer Science.512.2Aramayona Javierauthttp://id.loc.gov/vocabulary/relators/aut888236Diekert Volkerauthttp://id.loc.gov/vocabulary/relators/autLeininger Christopher Jauthttp://id.loc.gov/vocabulary/relators/autSilva Pedro Vauthttp://id.loc.gov/vocabulary/relators/autWeiß Arminauthttp://id.loc.gov/vocabulary/relators/autGonzález-Meneses Juanedthttp://id.loc.gov/vocabulary/relators/edtLustig Martinedthttp://id.loc.gov/vocabulary/relators/edtVentura Enricedthttp://id.loc.gov/vocabulary/relators/edtMiAaPQMiAaPQMiAaPQBOOK9910254298503321Algorithmic and Geometric Topics Around Free Groups and Automorphisms1984162UNINA