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

页码：12250 / 12263

页数：14

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