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19942026
most citedLocal connectivity and quasi-conformal rigidity of non-renormalizable polynomials

85 citations · 175 across the 25 of their papers we have counts for

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Showing 2008Show all

2 papers · 1 filter

math.DS2008★ 1 cited

Rational functions with real multipliers

Alexandre Eremenko, Sebastian van Strien

Let f be a rational function such that the multipliers of all repelling periodic points are real. We prove that the Julia set of such a function belongs to a circle. Combining this…

math.DS2008★ 23 cited

Absence of line fields and Mane's theorem for non-recurrent transcendental functions

Lasse Rempe, Sebastian van Strien

Let f be a transcendental meromorphic function. Suppose that the finite part of the postsingular set of f is bounded, that f has no recurrent critical points or wandering domains,…