Filled Julia Sets of Chebyshev Polynomials

Jacob Stordal Christiansen, Christian Henriksen, Henrik Laurberg Pedersen, Carsten Lunde Petersen

Research output: Contribution to journalArticlepeer-review

Abstract

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 languageEnglish
Pages (from-to)12250-12263
JournalJournal of Geometric Analysis
Volume31
Issue number12
Early online date2021
DOIs
Publication statusPublished - 2021

Subject classification (UKÄ)

  • Mathematical Analysis

Keywords

  • Chebyshev polynomials
  • Green’s function
  • Julia set

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