Ergodic Theorems for Iterated Function Systems Controlled by Regenerative Sequences

Dmitrii S. Silvestrov () and Örjan Stenflo ()
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Dmitrii S. Silvestrov: Umeå University
Örjan Stenflo: Umeå University

Journal of Theoretical Probability, 1998, vol. 11, issue 3, 589-608

Abstract: Abstract Iterated function systems are considered, where the function to iterate in each step is determined by a regenerative sequence. Ergodic theorems of distributional and law of large numbers types are obtained under log-average contractivity conditions.

Keywords: Ergodic theorem; stochastic dynamical system; iterated function system; regenerative process (search for similar items in EconPapers)
Date: 1998
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DOI: 10.1023/A:1022642328845

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