Ergodic Theorems for Iterated Function Systems Controlled by Regenerative Sequences |
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| Authors: | Dmitrii S Silvestrov Örjan Stenflo |
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| Institution: | (1) Department of Mathematical Statistics, Umeå University, S-90187 Umeå, Sweden;(2) Department of Mathematics, Umeå University, S-90187 Umeå, Sweden |
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| 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. |
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| Keywords: | Ergodic theorem stochastic dynamical system iterated function system regenerative process |
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