Asymptotic Periodicity of the Iterates of Positivity Preserving Operators
Milan Miklavcic
Department of Mathematics
Michigan State University
East Lansing, MI 48824-1027
Published in AMS Transactions 307(1988), 469-479.
Here is the abstract as a dvi file
and here is the whole article in pdf format.
For a slightly related work see:
Home Page of Milan Miklavcic.