Lacunarity of random fractals

Francisco J. Solis; Louis Tao

doi:10.1016/S0375-9601(97)00150-3

Lacunarity of random fractals

Francisco J. Solis, Louis Tao

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

5 Scopus citations

Abstract

We discuss properties of random fractals by means of a set of numbers that characterize their universal properties. This set is the generalized singularity spectrum that consists of the usual spectrum of multifractal dimensions and the associated complex analogs. Furthermore, nonuniversal properties are recovered from the study of a series of functions which are generalizations of the so-called energy integral.

Original language	English (US)
Pages (from-to)	351-356
Number of pages	6
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	228
Issue number	6
DOIs	https://doi.org/10.1016/S0375-9601(97)00150-3
State	Published - Apr 21 1997
Externally published	Yes

Keywords

Fractals
Stochastic processes

ASJC Scopus subject areas

Physics and Astronomy(all)

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10.1016/S0375-9601(97)00150-3

Cite this

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title = "Lacunarity of random fractals",

abstract = "We discuss properties of random fractals by means of a set of numbers that characterize their universal properties. This set is the generalized singularity spectrum that consists of the usual spectrum of multifractal dimensions and the associated complex analogs. Furthermore, nonuniversal properties are recovered from the study of a series of functions which are generalizations of the so-called energy integral.",

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AB - We discuss properties of random fractals by means of a set of numbers that characterize their universal properties. This set is the generalized singularity spectrum that consists of the usual spectrum of multifractal dimensions and the associated complex analogs. Furthermore, nonuniversal properties are recovered from the study of a series of functions which are generalizations of the so-called energy integral.

KW - Fractals

KW - Stochastic processes

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DO - 10.1016/S0375-9601(97)00150-3

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JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 6

ER -

Lacunarity of random fractals

Abstract

Keywords

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