On the multifractal formalism for Bernoulli products of invertible matrices (Q833267)
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scientific article; zbMATH DE number 5593920
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the multifractal formalism for Bernoulli products of invertible matrices |
scientific article; zbMATH DE number 5593920 |
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On the multifractal formalism for Bernoulli products of invertible matrices (English)
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12 August 2009
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The authors consider the validity of a kind of multifractal formalism which come from the Bernoulli product of invertible matrices, the validity is obtained using the Fourier-Laplace transform to get the existence of a Frosman measure. As an application, they give an estimation of the dimension of the singularity sets for a harmonic function on the Sierpinski gasket.
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Lyapunov exponent
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multifractal
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Hausdorff dimension
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singularity spectrum
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