Work

Topological prevalence of variable speed of convergence in the deterministic chaos game

Year: 2024

Type: article

Abstract: Let A be the attractor of a Banach contractive iterated function system (IFS) on a complete space. We prove that the orbit generated by a typical (in the sense of Baire category) driver recovers A with every possible speed. Our result extends the one from the paper: Leśniak et al. (Chaos 32(1):013110, 2022). We also show that our result is optimal from a certain point of view.

Source: Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas

DOI: 10.1007/s13398-024-01658-0

Authors: Krzysztof Leśniak, Nina Snigireva, Filip Strobin

Institutions: Nicolaus Copernicus University, Ollscoil na Gaillimhe – University of Galway, Lodz University of Technology

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,290

OpenAlex ID: W4402062159

FWCI:

Cites: 17

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Related to: 10