48 citations · 120 across the 9 of their papers we have counts for
10 papers
Barnsley-Navascués fractal operators on Banach spaces on the Sierpiński gasket
Asheesh Kumar Yadav, Himanshu Kumar, Saurabh Verma +1
In this article, we define fractal operators motivated by the works of Barnsley and Navascués on various function spaces such as energy space, Lebesgue space, and oscillation space…
Measurability of Multifractal Topological Entropy and Its Role in Multifractal Theory
Tingting Wang, Bilel Selmi, Zhiming Li
In this paper, we consider definitions including -Bowen topological entropy and -packing topological entropy. We systematically explore their proper…
On the mean -intermediate dimensions
Yu Liu, Bilel Selmi, Zhiming Li
In this paper, we introduce the mean -intermediate dimension which has a value between the mean Hausdorff dimension and the metric mean dimension, and prove the equivalent defin…
On the Extreme Value Behavior of -Expansions
Gabriela Ileana Sebe, Dan Lascu, Bilel Selmi
The main objective of this paper is to develop extreme value theory for -expansions. We establish the limit distribution of the maximum value in a -continued…
A review on multifractal analysis of Hewitt-Stromberg measures
Bilel Selmi
We estimate the upper and lower bounds of the HewittStromberg dimensions. In particular, these results give new proofs of theorems on the multifractal formalism which i…
On the projections of the multifractal Hewitt-Stromberg dimension functions
Bilel Selmi
The aim of this paper is to study the behavior of the multifractal Hewitt-Stromberg dimension functions under projections in Euclidean space. As an application, we study the multif…