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arXiv · 2106.06392

Filled Julia sets of Chebyshev polynomials

Jacob Stordal Christiansen·Christian Henriksen·Henrik Laurberg Pedersen·Carsten Lunde Petersen
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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.

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Jacob Stordal Christiansen, Christian Henriksen, Henrik Laurberg Pedersen, Carsten Lunde Petersen. 2021-06-11. Filled Julia sets of Chebyshev polynomials. https://arxiv.org/abs/2106.06392

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