7 papers
Mixed multifractal densities for quasi-Ahlfors vector-valued measures
Adel Farhat, Anouar Ben Mabrouk
In the present work, some density estimations associated with vector-valued quasi-Ahlfors measures are developed within the mixed multifractal analysis framework. The principle ide…
A mixed multifractal analysis for quasi Ahlfors vector-valued measures
Adel Farhat, Anouar Ben Mabrouk
The multifractal formalism for measures in its original formulation is checked for special classes of measures such as doubling, self-similar, and Gibbs-like ones. Out of these cla…
The Farey map exploited in wavelet analysis -- Construction of an associated Farey mother wavelet
Sabrine Arfaoui, Riadh Chteoui, Anouar Ben Mabrouk
In the present work the well known Farey map is exploited to consruct a new mother wavelet. Properties such as admissibility, moments, 2-scale relation and reconstruction rule have…
On a mixed cubic-superlinear non radially symmetric Schrödinger system - Part I: Existence and uniqueness of solutions
Abdurahman F. Aljohani, Anouar Ben Mabrouk
In this paper a nonlinear coupled Schrodinger system in the presence of mixed cubic and superlinear power laws is considered. Focus are made on the steady state solutions of the co…
A mixed multifractal formalism for finitely many non Gibbs Frostman-like measures
Mohamed Menceur, Anouar Ben Mabrouk
The multifractal formalism for measures hold whenever the existence of corresponding Gibbs-like measures supported on the singularities sets holds. In the present work we tried to…
A Mixed Generalized Multifractal Formalism For Vector Valued Measures
Anouar Ben Mabrouk
We introduce a mixed generalized multifractal formalism which extends the mixed multifractal formalism introduced by L. Olsen based on generalizations of the Hausdorff and packing…