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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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The minimal harmonic functions of sojourn processes of certain finite state Markov chains
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by E. Bolthausen PDF
Proc. Amer. Math. Soc. 77 (1979), 138-144 Request permission

Abstract:

To a finite state, discrete time Markov chain a new chain is constructed which counts the number of sojourns in each state. This sojourn process is a transient Markov chain. The minimal harmonic functions of this chain are identified.
References
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Additional Information
  • © Copyright 1979 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 77 (1979), 138-144
  • MSC: Primary 60J10; Secondary 60J50
  • DOI: https://doi.org/10.1090/S0002-9939-1979-0539647-X
  • MathSciNet review: 539647