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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 Matematica (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
Teichmuller 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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