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.

OriginalsprogEngelsk
TidsskriftJournal of Geometric Analysis
Antal sider14
ISSN1050-6926
DOI
StatusE-pub ahead of print - 2021

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