Work

The Invariant Measure for a Countable Generalized Iterated Function System

Year: 2024

Type: article

Abstract: The aim of this paper is to answer one of the open questions raised in Strobin [Qual. Theory Dyn. Syst. 19, 85 (2020)] of whether there exists an invariant (Hutchinson) measure for generalized iterated function systems of any order, consisting of a countably infinite number of maps. Our results likewise strengthen those obtained in Secelean [Mediterr. J. Math. 11, 361–372 (2014)], where the existence of the invariant measure is ascertained only for the case of generalized iterated function systems of order 2, consisting of functions which satisfy a particular contractive condition.

Source: Mediterranean Journal of Mathematics

DOI: 10.1007/s00009-024-02751-9

Author: Izabella Abraham

Institution: Transylvania University of Brașov

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,990

OpenAlex ID: W4403781832

FWCI: 1.306

Cites: 24

Cited by: 2

Related to: 10