On the existence of the Hutchinson measure for generalized iterated function systems
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS(2020)
摘要
We prove that each generalized (in the sense of Miculescu and Mihail) IFS consisting of contractive maps generates the unique generalized Hutchinson measure. This result extends the earlier result due to Miculescu in which the assertion is proved under certain additional contractive assumptions.
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关键词
Generalized iterated function systems,Hutchinson measure,Markov operator,Monge-Kantorovich metric
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