On the hausdorff dimension of Julia sets of some real polynomials

Genadi Levin; Michel Zinsmeister

doi:10.1090/S0002-9939-2013-11660-6

On the hausdorff dimension of Julia sets of some real polynomials

Genadi Levin, Michel Zinsmeister

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

We show that the supremum for c real of the Hausdorff dimension of the Julia set of the polynomial z → z^d + c (d is an even natural number) is greater than 2d/(d + 1).

Original language	English
Pages (from-to)	3565-3572
Number of pages	8
Journal	Proceedings of the American Mathematical Society
Volume	141
Issue number	10
DOIs	https://doi.org/10.1090/S0002-9939-2013-11660-6
State	Published - 2013

Access to Document

10.1090/S0002-9939-2013-11660-6

Cite this

@article{f3c4a550c3ab479a890cb6054d57539c,

title = "On the hausdorff dimension of Julia sets of some real polynomials",

abstract = "We show that the supremum for c real of the Hausdorff dimension of the Julia set of the polynomial z → zd + c (d is an even natural number) is greater than 2d/(d + 1).",

author = "Genadi Levin and Michel Zinsmeister",

year = "2013",

doi = "10.1090/S0002-9939-2013-11660-6",

language = "אנגלית",

volume = "141",

pages = "3565--3572",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

publisher = "American Mathematical Society",

number = "10",

}

TY - JOUR

T1 - On the hausdorff dimension of Julia sets of some real polynomials

AU - Levin, Genadi

AU - Zinsmeister, Michel

PY - 2013

Y1 - 2013

N2 - We show that the supremum for c real of the Hausdorff dimension of the Julia set of the polynomial z → zd + c (d is an even natural number) is greater than 2d/(d + 1).

AB - We show that the supremum for c real of the Hausdorff dimension of the Julia set of the polynomial z → zd + c (d is an even natural number) is greater than 2d/(d + 1).

UR - http://www.scopus.com/inward/record.url?scp=84880733898&partnerID=8YFLogxK

U2 - 10.1090/S0002-9939-2013-11660-6

DO - 10.1090/S0002-9939-2013-11660-6

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:84880733898

SN - 0002-9939

VL - 141

SP - 3565

EP - 3572

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 10

ER -

On the hausdorff dimension of Julia sets of some real polynomials

Abstract

Access to Document

Other files and links

Fingerprint

Cite this