• Iterations of random and deterministic functions

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      https://www.ias.ac.in/article/fulltext/pmsc/104/01/0263-0267

    • Keywords

       

      Random maps; generating functions; iteration; stable processes; auto regressive processes

    • Abstract

       

      Letf be a probability generating function on [0, 1]. The convergence of its iteratesfn to fixed points is studied in this paper. Results include rates forf andf-1. Also iterates of independent identically distributed stable processes are studied and a trichotomy based on the order of the stability is established.

    • Author Affiliations

       

      K B Athreya1

      1. Department of Mathematics, Iowa State University, 400 Carver Hall, Ames, IA - 50010-2066, USA
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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