3 papers
math.DS2026
Study of attractors and fractal functions on the product spaces and Dimensional aspects
Alamgir Hossain
In this paper, the product of the Hausdorff metric on the product space is defined and the equivalency between the product Hausdorff metric and the Hausdorff metric on the product…
math.DS2026
Quantization Dimension of -variable Random Self-Similar Measures
Akash Banerjee, Alamgir Hossain, Md. Nasim Akhtar
The quantization problem for random fractals presents unique challenges due to the lack of uniform geometric scaling inherent in deterministic systems. In this article, we establis…
math.DS2023
Fractal Interpolation on the Real Projective Plane
A. Hossain, Md. N. Akhtar, M. A. Navascués
Formerly the geometry was based on shapes, but since the last centuries this founding mathematical science deals with transformations, projections and mappings. Projective geometry…