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Contractive Markov System with Constant Probabilities

Ivan Werner ()
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Ivan Werner: University of St Andrews

Journal of Theoretical Probability, 2005, vol. 18, issue 2, 469-479

Abstract: Abstract In this paper, we give a simple proof that a contractive Markov system Ref. 7 with constant probabilities and a compact state space has a unique stationary initial distribution in an irreducible case and an exponential rate of convergence to the stationary initial distribution in an aperiodic case.

Keywords: Markov processes; iterated function systems; fractals (search for similar items in EconPapers)
Date: 2005
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10959-005-3514-9

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