Work

On nonlinear iterated function systems with overlaps

Year: 2024

Type: article

Abstract: We construct an example of an iterated function system on the line, consisting of linear fractional transformations, such that two of the maps share a fixed points, but the dimension of the attractor equals the conformal dimension, so that there is no “dimension drop”.

Source: Journal of Fractal Geometry Mathematics of Fractals and Related Topics

DOI: 10.4171/jfg/150

Author: Boris Solomyak

Institution: Bar-Ilan University

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4402642445

FWCI:

Cites:

Cited by: 1

Related to: 10