Abstract
We show how the formalism developed in a previous paper allows us to exhibit the multifractal nature of the infinitely convolved Bernoulli measures νγ, for γ the golden mean. In this first part we establish some large-deviation results for random products of matrices, using perturbation theory of quasicompact operators.
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Ledrappier, F., Porzio, A. On the multifractal analysis of Bernoulli convolutions. I. Large-deviation results. J Stat Phys 82, 367–395 (1996). https://doi.org/10.1007/BF02189235
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DOI: https://doi.org/10.1007/BF02189235