Post-critically finite self-similar groups Academic Article

abstract

• We describe in terms of automata theory the automatic 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.

authors

• Nekrashevych, Volodymyr

published proceedings

• Algebra and Discrete Mathematics, 4: 21-32, 2003

author list (cited authors)

• Bondarenko, I., & Nekrashevych, V.

citation count

• 0

complete list of authors

• Bondarenko, Ievgen||Nekrashevych, Volodymyr

keywords

• 20e08; 28a80; 39a12
• Math.gr
• Math.mg

Digital Object Identifier (DOI)

• 10.48550/arxiv.math/0701824