On the support of the bifurcation measure of cubic polynomials

On the support of the bifurcation measure of cubic polynomials
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DOI:
10.1007/s00208-019-01826-3
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发表时间:
2018-06
影响因子:
1.4
通讯作者:
H. Inou;S. Mukherjee
H. Inou;S. Mukherjee
中科院分区:
数学2区
文献类型:
--
作者:
H. Inou;S. Mukherjee

文献摘要

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我们构造了具有无法用 Misiurewicz 多项式近似的抛物线不动点的三次多项式的新示例。特别是,此类参数允许最大分叉,但不属于分叉测度的支持。
We construct new examples of cubic polynomials with a parabolic fixed point that cannot be approximated by Misiurewicz polynomials. In particular, such parameters admit maximal bifurcations, but do not belong to the support of the bifurcation measure.