Geodesic
$L^q$-spectrum of the Bernoulli convolution associated with the golden ratio
Studia Mathematica, Tome 131 (1998) no. 3, pp. 225-251

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Based on a set of higher order self-similar identities for the Bernoulli convolution measure for (√5-1)/2 given by Strichartz et al., we derive a formula for the $L^q$-spectrum, q >0, of the measure. This formula is the first obtained in the case where the open set condition does not hold.
DOI : 10.4064/sm-131-3-225-251
Keywords: Bernoulli convolution, golden ratio, multifractal measure, $L^q$-spectrum, $L^q$-dimension, Hausdorff dimension, renewal equation, self-similarity

Ka-Sing Lau 1 ;  1

1 
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Ka-Sing Lau;  . $L^q$-spectrum of the Bernoulli convolution associated with the golden ratio. Studia Mathematica, Tome 131 (1998) no. 3, pp. 225-251. doi: 10.4064/sm-131-3-225-251

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