2017/01/27 by Ion Chiţescu, Ion Chițescu, Chiţescu, Ion +7 · 1 citation
Mathematics · #28A33 #28B05 #37C25 #46C05 #46G10 #47A05 #47H10 #Advanced Topics in Algebra #Classical Analysis and ODEs (math.CA) #Computer science #Construct (python library) #Countable set #Discrete mathematics #FOS: Mathematics #Fixed point #Hilbert space #Iterated function #Iterated function system #Markov chain #Markov kernel #Markov model #Markov process #Markov property #Mathematical Dynamics and Fractals #Mathematical analysis #Mathematics #Pure mathematics #Statistics #Type (biology) #Variable-order Markov model #advanced mathematical theories #math.CA #msc:28A33 #msc:28B05 #msc:37C25 #msc:46C05 #msc:46G10 #msc:47A05 #msc:47H10
paper · pdf · doi:10.48550/arxiv.1701.07962
published in arXiv (Cornell University) (Cornell University)
arxiv created 2017/01/27 · openalex publication_date 2017/01/27 · arxiv updated 2017/01/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We consider iterated function systems (finite or countable), together with linear and continuous operators on Hilbert spaces, which enable us to construct Markov-type operators. Under suitable conditions, these Markov-type operators have fixed points, which are self-similar (invariant) vector measures, thus generalizing the classic Hutchinson self-similar measures. Several models with concrete computations are introduced.