Vector-valued multifractal measures

DOI10.1098/rspa.1996.0073zbMath0878.28005OpenAlexW2037776889MaRDI QIDQ3127891

Toby C. O'Neil, Kenneth J. Falconer

Publication date: 18 December 1997

Published in: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1996.0073

zbMATH Keywords

attractoriterated function systemIFSmultifractal formalism\(L^ p\) dimensionsselfsimilar vector-valued measures

Mathematics Subject Classification ID

Vector-valued set functions, measures and integrals (28B05) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Fractals (28A80)

Related Items (7)

Inversion formula for continuous multifractals ⋮ Fractal vector measures and vector calculus on planar fractal domains. ⋮ Operators on spaces of functions and measures. Vector invariant (fractal) measures ⋮ A multifractal formalism for vector-valued random fields based on wavelet analysis: application to turbulent velocity and vorticity 3D numerical data ⋮ On the properties of random multiplicative measures with the multipliers exponentially distributed ⋮ The Monge-Kantorovich metric on multimeasures and self-similar multimeasures ⋮ Invariant (fractal) vector measures as fixed points of Markov-type operators

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