Filled Julia Sets of Chebyshev Polynomials
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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⊂ 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.
Originalsprog | Engelsk |
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Tidsskrift | Journal of Geometric Analysis |
Vol/bind | 31 |
Sider (fra-til) | 12250–12263 |
ISSN | 1050-6926 |
DOI | |
Status | Udgivet - 2021 |
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