Filled Julia Sets of Chebyshev Polynomials

Authors :: Carsten Lunde Petersen
Christian Henriksen
Jacob S. Christiansen
Henrik L. Pedersen
Source :: Christiansen, J S, Henriksen, C, Pedersen, H L & Petersen, C L 2021, ' Filled Julia Sets of Chebyshev Polynomials ', Journal of Geometric Analysis . https://doi.org/10.1007/s12220-021-00716-y, Christiansen, J S, Henriksen, C, Pedersen, H L & Petersen, C L 2021, ' Filled Julia Sets of Chebyshev Polynomials ', Journal of Geometric Analysis, vol. 31, pp. 12250–12263 . https://doi.org/10.1007/s12220-021-00716-y
Publication Year :: 2021
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 in 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.<br />1 Figure

Language :: English
Database :: OpenAIRE
Journal :: Christiansen, J S, Henriksen, C, Pedersen, H L & Petersen, C L 2021, ' Filled Julia Sets of Chebyshev Polynomials ', Journal of Geometric Analysis . https://doi.org/10.1007/s12220-021-00716-y, Christiansen, J S, Henriksen, C, Pedersen, H L & Petersen, C L 2021, ' Filled Julia Sets of Chebyshev Polynomials ', Journal of Geometric Analysis, vol. 31, pp. 12250–12263 . https://doi.org/10.1007/s12220-021-00716-y
Accession number :: edsair.doi.dedup.....30924ac2414313068759712fe8b178f6

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