Geodesic
$L^q$-spectrum of the Bernoulli convolution associated with the golden ratio
Studia Mathematica, Tome 131 (1998) no. 3, pp. 225-251 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

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 
@article{10_4064_sm_131_3_225_251,
     author = {Ka-Sing Lau and  },
     title = {$L^q$-spectrum of the {Bernoulli} convolution associated with the golden ratio},
     journal = {Studia Mathematica},
     pages = {225--251},
     year = {1998},
     volume = {131},
     number = {3},
     doi = {10.4064/sm-131-3-225-251},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-131-3-225-251/}
}
TY  - JOUR
AU  - Ka-Sing Lau
AU  -  
TI  - $L^q$-spectrum of the Bernoulli convolution associated with the golden ratio
JO  - Studia Mathematica
PY  - 1998
SP  - 225
EP  - 251
VL  - 131
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4064/sm-131-3-225-251/
DO  - 10.4064/sm-131-3-225-251
LA  - en
ID  - 10_4064_sm_131_3_225_251
ER  - 
%0 Journal Article
%A Ka-Sing Lau
%A  
%T $L^q$-spectrum of the Bernoulli convolution associated with the golden ratio
%J Studia Mathematica
%D 1998
%P 225-251
%V 131
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4064/sm-131-3-225-251/
%R 10.4064/sm-131-3-225-251
%G en
%F 10_4064_sm_131_3_225_251
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

Cité par Sources :