On the Hausdorff dimension of Julia sets of meromorphic functions. II

The Yoccoz's inequality in [26], [15], [22] relates the multiplier of a repelling fixed point of a polynomial and its rotation number provided the Julia set of the polynomial

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maps M diffeomorphically onto the interval with asymptotic values 0, I/A as the endpoints, so f\ has an attracting fixed point p\ 6 (0; I/A), and the entire real axis lies in

Studying relations between function properties, it is of course easier to prove implications with reduced premises and to find counter-examples for implications with reduced

The quasisymmetric geometry of Sierpiński carpets is related to the study of Julia sets in complex dynamics and boundaries of Gromov hyperbolic groups.. Let S 2 be the unit sphere in

Its starting point is the second author re-readind of Shishikura’s result [10] : it states that if one implodes a polynomial with a parabolic cycle having q petals, then the

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