Rational Misiurewicz Maps Are Rare

نویسنده

  • MAGNUS ASPENBERG
چکیده

Set P 0(f, c) = P (f, c). The set P (f) = P 0(f) is the postcritical set of f . We will also use the notion postcritical set for P k(f) for some suitable k ≥ 0. Denote by J(f) the Julia set of f and F (f) the Fatou set of f . Recall that the ω-limit set ω(x) of a point x is the set of all limit points of ∪n≥0f n(x). A periodic point x with period p is a sink if there is a neighborhood around x which is mapped strictly inside itself homeomorphically under fp. Hence sinks are attracting cycles which are not super-attracting. We proceed with the following definition.

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تاریخ انتشار 2007