Filled Julia Sets of Chebyshev Polynomials
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Filled Julia Sets of Chebyshev Polynomials. / Christiansen, Jacob Stordal; Henriksen, Christian; Pedersen, Henrik Laurberg; Petersen, Carsten Lunde.
In: Journal of Geometric Analysis, Vol. 31, 2021, p. 12250–12263.Research output: Contribution to journal › Journal article › Research › peer-review
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TY - JOUR
T1 - Filled Julia Sets of Chebyshev Polynomials
AU - Christiansen, Jacob Stordal
AU - Henriksen, Christian
AU - Pedersen, Henrik Laurberg
AU - Petersen, Carsten Lunde
N1 - Publisher Copyright: © 2021, Mathematica Josephina, Inc.
PY - 2021
Y1 - 2021
N2 - 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.
AB - 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.
KW - Chebyshev polynomials
KW - Green’s function
KW - Julia set
UR - http://www.scopus.com/inward/record.url?scp=85108343519&partnerID=8YFLogxK
U2 - 10.1007/s12220-021-00716-y
DO - 10.1007/s12220-021-00716-y
M3 - Journal article
AN - SCOPUS:85108343519
VL - 31
SP - 12250
EP - 12263
JO - Journal of Geometric Analysis
JF - Journal of Geometric Analysis
SN - 1050-6926
ER -
ID: 276953467