Multifractal dimensions and thermodynamical description of nearly-circular Julia sets

Simonetta Abenda; Pierre Moussa; Andrew H. Osbaldestin

doi:10.1088/0951-7715/12/1/003

Multifractal dimensions and thermodynamical description of nearly-circular Julia sets

Simonetta Abenda^*, Pierre Moussa, Andrew H. Osbaldestin

^*Corresponding author for this work

School of Mathematics & Physics

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

Abstract

Using thermodynamical formalism, we set up the perturbative approach for the Hausdorff dimension and the dimension spectrum of the Julia set associated with polynomials close to monomials. We extend previous calculations to a more general case where the perturbation is not constant.

Original language	English
Pages (from-to)	19-40
Number of pages	22
Journal	Nonlinearity
Volume	12
Issue number	1
DOIs	https://doi.org/10.1088/0951-7715/12/1/003
Publication status	Published - 1 Jan 1999

Access to Document

10.1088/0951-7715/12/1/003

Cite this

@article{30da94df73534e338df5e839cf36f6ad,

title = "Multifractal dimensions and thermodynamical description of nearly-circular Julia sets",

abstract = "Using thermodynamical formalism, we set up the perturbative approach for the Hausdorff dimension and the dimension spectrum of the Julia set associated with polynomials close to monomials. We extend previous calculations to a more general case where the perturbation is not constant.",

author = "Simonetta Abenda and Pierre Moussa and Osbaldestin, \{Andrew H.\}",

year = "1999",

month = jan,

day = "1",

doi = "10.1088/0951-7715/12/1/003",

language = "English",

volume = "12",

pages = "19--40",

journal = "Nonlinearity",

issn = "0951-7715",

publisher = "IOP Publishing Ltd.",

number = "1",

}

TY - JOUR

T1 - Multifractal dimensions and thermodynamical description of nearly-circular Julia sets

AU - Abenda, Simonetta

AU - Moussa, Pierre

AU - Osbaldestin, Andrew H.

PY - 1999/1/1

Y1 - 1999/1/1

N2 - Using thermodynamical formalism, we set up the perturbative approach for the Hausdorff dimension and the dimension spectrum of the Julia set associated with polynomials close to monomials. We extend previous calculations to a more general case where the perturbation is not constant.

AB - Using thermodynamical formalism, we set up the perturbative approach for the Hausdorff dimension and the dimension spectrum of the Julia set associated with polynomials close to monomials. We extend previous calculations to a more general case where the perturbation is not constant.

UR - https://www.scopus.com/pages/publications/0032675210

U2 - 10.1088/0951-7715/12/1/003

DO - 10.1088/0951-7715/12/1/003

M3 - Article

AN - SCOPUS:0032675210

SN - 0951-7715

VL - 12

SP - 19

EP - 40

JO - Nonlinearity

JF - Nonlinearity

IS - 1

ER -

Multifractal dimensions and thermodynamical description of nearly-circular Julia sets

Abstract

Access to Document

Fingerprint

Cite this