Skip to main content Accessibility help

We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Close this message to accept cookies or find out how to manage your cookie settings.

Close cookie message
×
  1. Home
  2. Search

Refine search

Refine search

Access:
Content type:
Publication date:
Apply   From and To filters
Subject: Show more
Journals Show more
Publishers: Show more
Societies Show more
Series: Show more
Collections: Show more

Actions for selected content:

Select all | Deselect all
  • View selected items
  • Export citations
  • Download PDF (zip)
  • Save to Kindle
  • Save to Dropbox
  • Save to Google Drive

Save Search

You can save your searches here and later view and run them again in "My saved searches".

Please provide a title, maximum of 40 characters.
Cancel
×

1 results

  • Existence and uniqueness of fixed points for Markov operators andMarkov processes

  • O Hernández-Lerma, JB Lasserre
  • Journal:
    Proceedings of the London Mathematical Society / Volume 76 / Issue 3 / May 1998
    Published online by Cambridge University Press:
    01 May 1998, pp. 711-736
    Print publication:
    May 1998

  • This paperconcerns a Markov operator $T$ on a space $L_1$, and a Markov process $P$ which defines a Markov operator on aspace $M$ of finite signed measures. For $T$, the paper presentsnecessary and sufficient conditionsfor: \begin{enumerate}\item [(a)] the existence of invariant probability densities (IPDs)\item [(b)] theexistence ofstrictly positive IPDs, and\item [(c)] the existence and uniqueness ofIPDs.\end{enumerate} Similar results on invariant probability measures for $P$ are presented. The basicapproach is to pose a fixed-point problem as the problem of solving a certain linear equation in a suitableBanach space, and then obtain necessary and sufficient conditions for this equation to have a solution.

    1991 Mathematics Subject Classification: 60J05, 47B65, 47N30.