Jeremy A. Kahn

most citedCombinatorial rigidity for unicritical polynomials

4 citations · 7 across the 2 of their papers we have counts for

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math.DS2005★ 4 cited

Combinatorial rigidity for unicritical polynomials

Artur Avila, Jeremy Kahn, Mikhail Lyubich +1

We prove that any unicritical polynomial $f_{c} : z \mapsto z^{d} + c$ which is at most finitely renormalizable and has only repelling periodic points is combinatorially rigid. It implies t…

math.DS2005★ 3 cited

Local connectivity of Julia sets for unicritical polynomials

Jeremy Kahn, Mikhail Lyubich

We prove that the Julia set $J (f)$ of at most finitely renormalizable unicritical polynomial $f : z \mapsto z^{d} + c$ with all periodic points repelling is locally connected. (For $d = 2$ …

math.DS1998

Holomorphic Removability of Julia Sets

Jeremy Kahn

Let $f (z) = z^{2} + c$ be a quadratic polynomial, with c in the Mandelbrot set. Assume further that both fixed points of f are repelling, and that f is not renormalizable. Then we pr…