Filled Julia sets of Chebyshev polynomials
Dynamical Systems
2021-06-14 v1 Complex Variables
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.
Keywords
Cite
@article{arxiv.2106.06392,
title = {Filled Julia sets of Chebyshev polynomials},
author = {Jacob Stordal Christiansen and Christian Henriksen and Henrik Laurberg Pedersen and Carsten Lunde Petersen},
journal= {arXiv preprint arXiv:2106.06392},
year = {2021}
}
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