On the existence of the Hutchinson measure for generalized iterated function systems

DOI10.1007/S12346-020-00420-2zbMath1452.28005OpenAlexW3083874064MaRDI QIDQ2007001

Filip Strobin

Publication date: 12 October 2020

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12346-020-00420-2

zbMATH Keywords

Markov operatorHutchinson measureMonge-Kantorovich metricgeneralized iterated function systems

Mathematics Subject Classification ID

Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Fractals (28A80) Spaces of measures, convergence of measures (28A33)

Related Items (2)

The Hutchinson–Barnsley theory for generalized iterated function systems by means of infinite iterated function systems ⋮ On the connectedness of attractors of orbital contractive IFSs

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Attractors of generalized IFSs that are not attractors of IFSs
• Generalized iterated function systems with place dependent probabilities
• Contractive function systems, their attractors and metrization
• Topological version of generalized (infinite) iterated function systems
• Applications of fixed point theorems in the theory of generalized IFS
• Generalized IFSs on noncompact spaces
• On generalized iterated function systems defined on \(\ell_{\infty}\)-sum of a metric space
• Generalized iterated function systems on the space \(l^\infty(X)\)
• A generalization of the Hutchinson measure
• The ergodic theorem for a new kind of attractor of a GIFS
• Zero-dimensional compact metrizable spaces as attractors of generalized iterated function systems
• Invariant measure associated with a generalized countable iterated function system
• A code space for a generalized IFS
• A Topological Version of Iterated Function Systems
• Fractal-Based Methods in Analysis
• ON A CERTAIN GENERALISATION OF THE ITERATED FUNCTION SYSTEM
• Weakly contractive iterated function systems and beyond: a manual

This page was built for publication: On the existence of the Hutchinson measure for generalized iterated function systems