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Convex hulls of polynomial Julia sets
Proceedings of the American Mathematical Society ( IF 0.8 ) Pub Date : 2020-10-09 , DOI: 10.1090/proc/15224 Małgorzata Stawiska
Proceedings of the American Mathematical Society ( IF 0.8 ) Pub Date : 2020-10-09 , DOI: 10.1090/proc/15224 Małgorzata Stawiska
Abstract:We prove P. Alexandersson's conjecture that for every complex polynomial 
of degree 
the convex hull 
of the Julia set 
of 
satisfies 
. We further prove that the equality 
is achieved if and only if 
is affinely conjugated to the Chebyshev polynomial 
of degree 
, to 
, or to a monomial 
with 
.
中文翻译：
多项式Julia集的凸包
摘要：我们证明了P. Alexandersson的猜想，即对于每一个复杂的次数多项式，Julia集的凸包都满足。我们进一步证明了平等实现当且仅当在仿射结合到切比雪夫多项式程度，来，或单项式带。
更新日期：2020-11-12
of degree the convex hull of the Julia set of satisfies . We further prove that the equality is achieved if and only if is affinely conjugated to the Chebyshev polynomial of degree , to , or to a monomial with . 中文翻译：
多项式Julia集的凸包
摘要：我们证明了P. Alexandersson的猜想，即对于每一个复杂的次数多项式
，Julia集的凸包都满足。我们进一步证明了平等实现当且仅当在仿射结合到切比雪夫多项式程度，来，或单项式带。 
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