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Ergodic Theorems for Iterated Function Systems Controlled by Regenerative Sequences

Author

Listed:
  • Dmitrii S. Silvestrov

    (Umeå University)

  • Örjan Stenflo

    (Umeå University)

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.

Suggested Citation

  • Dmitrii S. Silvestrov & Örjan Stenflo, 1998. "Ergodic Theorems for Iterated Function Systems Controlled by Regenerative Sequences," Journal of Theoretical Probability, Springer, vol. 11(3), pages 589-608, July.
    • Handle: RePEc:spr:jotpro:v:11:y:1998:i:3:d:10.1023_a:1022642328845
    DOI: 10.1023/A:1022642328845
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    References listed on IDEAS

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    1. Elton, John H., 1990. "A multiplicative ergodic theorem for lipschitz maps," Stochastic Processes and their Applications, Elsevier, vol. 34(1), pages 39-47, February.
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