Post-critically finite self-similar groups

Bondarenko, E.; Nekrashevych, V.
URI: http://hdl.handle.net/123456789/76
Date: 2003

Description:

We describe in terms of automata theory the auto- matic actions with post-critically finite limit space. We prove that these actions are precisely the actions by bounded automata and that any self-similar action by bounded automata is contracting.

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    This is a special issue of the journal devoted to the jubilee of the outstanding Ukrainian and Russian mathematician, one of the founder of our journal Professor Rostislav Grigorchuk, who was 50 years of age on February 23, 2003.

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