Work

Set-valued fractal surfaces for countable data sets: Approximation and fractal dimension

Year: 2025

Type: article

Abstract: In this paper, we have shown the construction of the set-valued fractal surface for the countable data set. The constructed fractal surfaces are approximated and error bounds between them is calculated. The existence and uniqueness of an invariant Borel probability measure supported on the graph of the set-valued fractal surface map are established. Further, the bounds on the Hausdorff dimension of the set-valued fractal surface is calculated.

Source: Discrete and Continuous Dynamical Systems - S

DOI: 10.3934/dcdss.2025118

Authors: Parneet Kaur, Rattan Lal, Ankit Kumar

Institution: Punjab Engineering College

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: University Grants Commission

OpenAlex ID: W4413196647

FWCI: 3.227

Cites: 29

Cited by: 2

Related to: 10