Work

Fractal dimension for a class of Inhomogeneous graph-directed attractors

Year: 2024

Type: article

Abstract: In this paper, we define inhomogeneous Graph-Directed (GD) separation conditions for a given inhomogeneous GD Iterated Function System (IFS) and estimate the upper box dimension of attractors by the dimension of the condensation set and associated Mauldin-Williams graph dimension. Following some work by Fraser, we also estimate the lower box dimension of attractors generated by inhomogeneous GDIFS. In the end, we shed some light on the continuity of dimensions for the attractors of GDIFS.

Source: Discrete and Continuous Dynamical Systems - S

DOI: 10.3934/dcdss.2024158

Authors: Shivam Dubey, Saurabh Verma

Institution: Indian Institute of Information Technology Allahabad

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: Ministry of Education, India

OpenAlex ID: W4402283506

FWCI: 1.952

Cites: 23

Cited by: 3

Related to: 10