Filled Julia Sets of Chebyshev Polynomials

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Standard

Filled Julia Sets of Chebyshev Polynomials. / Christiansen, Jacob Stordal; Henriksen, Christian; Pedersen, Henrik Laurberg; Petersen, Carsten Lunde.

I: Journal of Geometric Analysis, Bind 31, 2021, s. 12250–12263.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Christiansen, JS, Henriksen, C, Pedersen, HL & Petersen, CL 2021, 'Filled Julia Sets of Chebyshev Polynomials', Journal of Geometric Analysis, bind 31, s. 12250–12263. https://doi.org/10.1007/s12220-021-00716-y

APA

Christiansen, J. S., Henriksen, C., Pedersen, H. L., & Petersen, C. L. (2021). Filled Julia Sets of Chebyshev Polynomials. Journal of Geometric Analysis, 31, 12250–12263. https://doi.org/10.1007/s12220-021-00716-y

Vancouver

Christiansen JS, Henriksen C, Pedersen HL, Petersen CL. Filled Julia Sets of Chebyshev Polynomials. Journal of Geometric Analysis. 2021;31:12250–12263. https://doi.org/10.1007/s12220-021-00716-y

Author

Christiansen, Jacob Stordal ; Henriksen, Christian ; Pedersen, Henrik Laurberg ; Petersen, Carsten Lunde. / Filled Julia Sets of Chebyshev Polynomials. I: Journal of Geometric Analysis. 2021 ; Bind 31. s. 12250–12263.

Bibtex

@article{c0c562cca82b4607b199b86c22817e6e,

title = "Filled Julia Sets of Chebyshev Polynomials",

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.",

keywords = "Chebyshev polynomials, Green{\textquoteright}s function, Julia set",

author = "Christiansen, {Jacob Stordal} and Christian Henriksen and Pedersen, {Henrik Laurberg} and Petersen, {Carsten Lunde}",

note = "Publisher Copyright: {\textcopyright} 2021, Mathematica Josephina, Inc.",

year = "2021",

doi = "10.1007/s12220-021-00716-y",

language = "English",

volume = "31",

pages = "12250–12263",

journal = "Journal of Geometric Analysis",

issn = "1050-6926",

publisher = "Springer",

}

RIS

TY - JOUR

T1 - Filled Julia Sets of Chebyshev Polynomials

AU - Christiansen, Jacob Stordal

AU - Henriksen, Christian

AU - Pedersen, Henrik Laurberg

AU - Petersen, Carsten Lunde

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