Contracting self-similar groups
Volodymyr Nekrashevych

Contracting self-similar groups appear naturally in the study of expanding (partial) self-coverings of topological spaces and orbispaces. We will discuss properties and examples of such groups and describe the construction of the limit space of a contracting group. The limit space can be defined as the boundary of a Gromov hyperbolic graph naturally associated with the self-similar group and is homeomorphic to the Julia set of the expanding self-covering. We will also describe an axiomatic description of the limit space and show a natural orbispace structure on it.



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