Filled Julia Sets of Chebyshev Polynomials

被引：2
|
作者：
Christiansen, Jacob Stordal [1 ]
Henriksen, Christian [2 ]
Pedersen, Henrik Laurberg [3 ]
Petersen, Carsten Lunde [4 ]
机构：
[1] Lund Univ, Ctr Math Sci, Box 118, S-22100 Lund, Sweden
[2] Tech Univ Denmark, DTU Compute, Build 303B, DK-2800 Lyngby, Denmark
[3] Univ Copenhagen, Dept Math Sci, Univ Pk 5, DK-2100 Copenhagen, Denmark
[4] Roskilde Univ, Dept Sci & Environm, DK-4000 Roskilde, Denmark
来源：
JOURNAL OF GEOMETRIC ANALYSIS | 2021年 / 31卷 / 12期
关键词：
Chebyshev polynomials; Julia set; Green's function;
D O I：
10.1007/s12220-021-00716-y
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the possible Hausdorff limits of the Julia sets and filled Julia sets of subsequences of the sequence of dual Chebyshev polynomials of a non-polar compact set K subset of C and compare such limits to K. Moreover, we prove that the measures of maximal entropy for the sequence of dual Chebyshev polynomials of K converges weak* to the equilibrium measure on K.
引用
收藏
页码：12250 / 12263
页数：14
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