A projection-valued measure for a countable iterated function system

DOI10.1007/s00025-020-01334-wzbMath1478.46043OpenAlexW3118930778MaRDI QIDQ2034874

M. F. Barrozo, Claudia V. Ridolfi, Fabián E. Levis

Publication date: 23 June 2021

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-020-01334-w

zbMATH Keywords

fixed pointcountable iterated function systemKantorovich metricprojection-valued measure

Mathematics Subject Classification ID

Vector-valued set functions, measures and integrals (28B05) Fractals (28A80) Vector-valued measures and integration (46G10) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25)

Related Items (1)

Invariant (fractal) vector measures as fixed points of Markov-type operators

Cites Work

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• Generalizing the Kantorovich metric to projection valued measures
• Erratum to: ``Generalizing the Kantorovich metric to projection valued measures
• Countable contraction mappings in metric spaces: invariant sets and measure
• Measures in wavelet decompositions
• Self-Similar Sets. I. Topological MARKOV Chains and Mixed Self-Similar Sets
• Real Analysis

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