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.
| Original language | English |
|---|---|
| Journal | Journal of Geometric Analysis |
| Volume | 31 |
| Pages (from-to) | 12250–12263 |
| ISSN | 1050-6926 |
| DOIs | |
| Publication status | Published - 2021 |
Bibliographical note
Publisher Copyright:
© 2021, Mathematica Josephina, Inc.
- Chebyshev polynomials, Green’s function, Julia set
Research areas
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