Misiurewicz maps unfold generically (even if they are critically non-finite)
نویسندگان
چکیده
منابع مشابه
Rational Misiurewicz Maps Are Rare
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 ...
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The notion of Misiurewicz maps has its origin from the paper [10] from 1981 by M. Misiurewicz. The (real) maps studied in this paper have, among other things, no sinks and the omega limit set ω(c) of every critical point c does not contain any critical point. In particular, in the quadratic family fa(x) = 1 − ax 2, where a ∈ (0, 2), a Misiurewicz map is a non-hyperbolic map where the critical p...
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ژورنال
عنوان ژورنال: Fundamenta Mathematicae
سال: 2000
ISSN: 0016-2736,1730-6329
DOI: 10.4064/fm-163-1-39-54