Filled Julia Sets of Chebyshev Polynomials

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

Research output: Contribution to journalJournal articleResearchpeer-review


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
JournalJournal of Geometric Analysis
Number of pages14
Publication statusPublished - 2021


  • Chebyshev polynomials
  • Julia set
  • Green’s function


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