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Article Contents

# On the multifractal formalism for Bernoulli products of invertible matrices

• We study the multifractal formalism for Bernoulli products of invertible matrices. Using the Fourier-Laplace transform, we prove the existence of a Frostman measure and so the validity of multifractal formalism. As an application we give an estimation of the spectrum of singularities of a harmonic function defined on the Sierpiński gasket.
Mathematics Subject Classification: Primary: 28A80, 28A78, 34D08, 37D35; Secondary: 34D20.

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