Zobrazeno 1 - 10
of 51
pro vyhledávání: '"Bilel Selmi"'
Autor:
Najmeddine Attia, Bilel Selmi
Publikováno v:
AIMS Mathematics, Vol 8, Iss 6, Pp 12889-12921 (2023)
The properties of various fractal and multifractal measures and dimensions have been under extensive study in the real-line and higher-dimensional Euclidean spaces. In non-Euclidean spaces, it is often impossible to construct non-trivial self-similar
Externí odkaz:
https://doaj.org/article/d3b60e06f48e4676b76091e6ce5ee7ac
Autor:
Bilel Selmi
Publikováno v:
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, Vol 20, Pp 5-15 (2021)
In this paper, we use a characterization of the mutual multifractal Hausdorff dimension in terms of auxiliary measures to investigate the projections of measures with small supports.
Externí odkaz:
https://doaj.org/article/b525dc3b3cc14c7790bca980cea15c31
Autor:
Najmeddine Attia, Bilel Selmi
Publikováno v:
Mathematics, Vol 11, Iss 6, p 1519 (2023)
In this work, we focus on the centered Hausdorff measure, the packing measure, and the Hewitt–Stromberg measure that determines the modified lower box dimension Moran fractal sets. The equivalence of these measures for a class of Moran is shown by
Externí odkaz:
https://doaj.org/article/1b50844fa0044a58b2cb3deaa5f41a33
Autor:
Bilel Selmi
Publikováno v:
Проблемы анализа, Vol 5, Iss 23, Pp 38-51 (2016)
In this paper, we are concerned both with the properties of the generalization of the L^q-spectrum relatively to two Borel probability measures and with the generalized q-dimension Riesz capacity. We are also interested in the study of their behavior
Externí odkaz:
https://doaj.org/article/0a18d665c7414c32aaafd4cf2ef79e13
Autor:
Bilel Selmi, Anouar Ben Mabrouk
Publikováno v:
Proyecciones (Antofagasta). 41:1015-1032
The multifractal formalism for vector-valued measures holds when-ever the existence of corresponding Gibbs-like measures, supported on the singularities sets holds. We tried through this article to improve a result developed by Menceur et al. in [29]
Autor:
Bilel Selmi
Publikováno v:
Quaestiones Mathematicae; Vol. 46 No. 3 (2023); 411–444
The main aim of this paper is to study average Hewitt-Stromberg and box dimensions of typical compact metric spaces belonging to the Gromov-Hausdorff space equipped with the Gromov-Hausdorff metric.
Autor:
Bilel Selmi, Zhihui Yuan
Publikováno v:
Rendiconti del Circolo Matematico di Palermo Series 2.
Publikováno v:
Journal of Dynamical Systems and Geometric Theories. 20:33-53
Autor:
Anouar Mabrouk, Bilel Selmi
Publikováno v:
Filomat. 36:3479-3490
In this paper, the equivalence of the multifractal centered Hausdorff measure and the multifractal packing measure is investigated. Furthermore, for the Moran sets satisfying the strong separation condition, the equivalence of the mutual multifractal
Publikováno v:
Filomat. 36:4225-4239
In this paper, we are concerned with some density estimations of vector-valued measures in the framework of the so-called mixed multifractal analysis. We precisely consider some Borel probability measures that are no longer Gibbs and introduce some m