Geodesic
Hausdorff dimension of scale-sparse Weierstrass-type functions
Abel Carvalho1
1 Departamento de Matemática Universidade de Aveiro 3810-193 Aveiro, Portugal
Fundamenta Mathematicae, Tome 213 (2011) no. 1, pp. 1-13

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

The aim of this paper is to calculate (deterministically) the Hausdorff dimension of the scale-sparse Weierstrass-type functions $W_s(x)\!:=\!\sum_{j\geq1}\rho^{-\gamma^js}g(\rho^{\gamma^j}{x\!+\!\theta_j})$, where $\rho>1$, $\gamma>1$ and $0 s 1$, and $g$ is a periodic Lipschitz function satisfying some additional appropriate conditions.
DOI : 10.4064/fm213-1-1
Mots-clés : paper calculate deterministically hausdorff dimension scale sparse weierstrass type functions sum geq rho gamma rho gamma theta where rho gamma periodic lipschitz function satisfying additional appropriate conditions

Abel Carvalho 1

1 Departamento de Matemática Universidade de Aveiro 3810-193 Aveiro, Portugal 
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Abel Carvalho. Hausdorff dimension of scale-sparse Weierstrass-type functions. Fundamenta Mathematicae, Tome 213 (2011) no. 1, pp. 1-13. doi: 10.4064/fm213-1-1

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