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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Further criteria for positive Harris recurrence of Markov chains
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by Onésimo Hernández-Lerma and Jean B. Lasserre PDF
Proc. Amer. Math. Soc. 129 (2001), 1521-1524 Request permission

Abstract:

We provide several necessary and sufficient conditions for a Markov chain on a general state space to be positive Harris recurrent. The conditions only concern asymptotic properties of the expected occupation measures.
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Additional Information
  • Onésimo Hernández-Lerma
  • Affiliation: Departamento de Matemáticas, CINVESTAV-IPN, Apdo. Postal 14-740, México D.F. 07000, Mexico
  • Email: ohernand@math.cinvestav.mx
  • Jean B. Lasserre
  • Affiliation: LAAS-CNRS, 7 Avenue du Colonel Roche, 31077 Toulouse Cédex, France
  • MR Author ID: 110545
  • Email: lasserre@laas.fr
  • Received by editor(s): March 1, 1999
  • Received by editor(s) in revised form: August 15, 1999
  • Published electronically: October 24, 2000
  • Additional Notes: This research was partially supported by the CNRS (France)-CONACYT (México) Scientific Cooperation Program, and by the ECOS (France)-ANUIES (Mexico) Educational and Scientific Cooperation Program.
    The first author’s research was also supported by CONACYT Grant 3115P-E9608.
  • Communicated by: Claudia Neuhauser
  • © Copyright 2000 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 129 (2001), 1521-1524
  • MSC (1991): Primary 60J10, 28A33; Secondary 28C15
  • DOI: https://doi.org/10.1090/S0002-9939-00-05672-0
  • MathSciNet review: 1712909