Attractors for graph critical rational maps
نویسندگان
چکیده
منابع مشابه
Attractors for Graph Critical Rational Maps
We call a rational map f graph critical if any critical point either belongs to an invariant finite graph G, or has minimal limit set, or is nonrecurrent and has limit set disjoint from G. We prove that, for any conformal measure, either for almost every point of the Julia set J(f) its limit set coincides with J(f), or for almost every point of J(f) its limit set coincides with the limit set of...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2002
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-02-02999-9