On the multifractal analysis of Bernoulli convolutions. I. Large-deviation results |
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| Authors: | François Ledrappier Anna Porzio |
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| Affiliation: | (1) Laboratoire de Probabilités, Université de Paris VI, 75005 Paris;(2) École Polytechnique, CMAT, CNRS URA 169, 91128 Palaiseau, France;(3) Université Paris XIII, 93430 Villetaneuse;(4) CPTH École Polytechnique 91128, Palaiseau, France |
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| Abstract: | We show how the formalism developed in a previous paper allows us to exhibit the multifractal nature of the infinitely convolved Bernoulli measures   , for 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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| Keywords: | Random matrices large deviations |
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