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Limit theorems for null recurrent Markov processes

About this Title

R. Höpfner and E. Löcherbach

Publication: Memoirs of the American Mathematical Society
Publication Year: 2003; Volume 161, Number 768
ISBNs: 978-0-8218-3231-8 (print); 978-1-4704-0366-9 (online)
DOI: https://doi.org/10.1090/memo/0768
MathSciNet review: 1949295
MSC: Primary 60J25; Secondary 60F05

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Table of Contents

Chapters

  • Introduction
  • 1. Harris recurrence
  • 2. Stable increasing processes and Mittag Leffler processes
  • 3. The main theorem
  • 4. Proofs for subsection 3.1 – sufficient condition
  • 5. Proofs for subsection 3.1 – necessary condition
  • 6. Nummelin splitting in discrete time
  • 7. Nummelin-like splitting for general continuous time Harris processes and proofs for subsection 3.3
  • Overview. Assumptions (H1)–(H6)