Stochastic Stability of Monotone Economies in Regenerative Environments
  We introduce and analyze a new class of monotone stochastic recursions in a regenerative environment which is essentially broader than that of Markov chains. We prove stability theorems and apply our results {to three canonical models in recursive economics}, generalizing some known stability results to the cases when driving sequences are not independent and identically distributed. 
Sergey Foss, Vsevolod Shneer, Jonathan P. Thomas, and Tim Worrall
math.PR