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

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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",

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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.

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

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EP - 40

JO - Nonlinearity

JF - Nonlinearity

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Multifractal dimensions and thermodynamical description of nearly-circular Julia sets

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