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- W1990994022 abstract "We discuss the dynamics as well as the structure of the parameter plane of certain families of rational maps with few critical orbits. Our paradigm is the family Rt(z) = 𝔱 (1 + (4/27)z3/(1 − z)), with dynamics governed by the behaviour of the postcritical orbit (R𝔱n(𝔱))n∈ℕ. In particular, it is shown that if 𝔱 escapes (that is, R𝔱n(𝔱) tends to infinity), then the Julia set of R𝔱 is a Cantor set, or a Sierpiński curve, or a curve with one or else infinitely many cut-points; each of these cases actually occurs." @default.
- W1990994022 created "2016-06-24" @default.
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- W1990994022 date "2008-05-27" @default.
- W1990994022 modified "2023-09-27" @default.
- W1990994022 title "Sierpiński and non-Sierpiński curve Julia sets in families of rational maps" @default.
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- W1990994022 doi "https://doi.org/10.1112/jlms/jdn030" @default.
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