Combinatorial Models of Expanding Dynamical Systems
نویسندگان
چکیده
We define iterated monodromy groups of more general structures than partial self-covering. This generalization makes it possible to define a natural notion of a combinatorial model of an expanding dynamical system. We prove that a naturally defined “Julia set” of the generalized dynamical systems depend only on the associated iterated monodromy group. Many examples, in particular models for a series of post-critically finite rational functions of several variables, are presented.
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