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- W3101106082 abstract "For a polynomial p with a repelling fixed point w, we consider Poincar'{e} functions of p at w, i.e. entire functions L which satisfy L(0)=w and p(L(z))=L(p'(w)*z) for all z in the complex plane. We show that if the component of the Julia set of p that contains w equals {w}, then the (fast) escaping set of L is a spider's web; in particular it is connected. More precisely, we classify all linearizers of polynomials with regards to the spider's web structure of the set of all points which escape faster than the iterates of the maximum modulus function at a sufficiently large point." @default.
- W3101106082 created "2020-11-23" @default.
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- W3101106082 date "2012-09-01" @default.
- W3101106082 modified "2023-10-16" @default.
- W3101106082 title "Poincaré functions with spiders’ webs" @default.
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- W3101106082 doi "https://doi.org/10.1090/s0002-9939-2012-11164-5" @default.
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