Filled Julia Sets of Chebyshev Polynomials

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

doi:10.1007/s12220-021-00716-y

Filled Julia Sets of Chebyshev Polynomials

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

^*Corresponding author

Institut for Naturvidenskab og Miljø

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer 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.

Originalsprog	Engelsk
Tidsskrift	Journal of Geometric Analysis
Vol/bind	31
Udgave nummer	12
Sider (fra-til)	12250-12263
Antal sider	14
ISSN	1050-6926
DOI	https://doi.org/10.1007/s12220-021-00716-y
Status	Udgivet - dec. 2021

Emneord

Chebyshev polynomials
Green’s function
Julia set

Link til dokument

10.1007/s12220-021-00716-y

Chebyshev_7.3Indsendt manuskript, 1,59 MB

Citer dette

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KW - Green’s function

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KW - Julia set

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