On Markov chains with the strong ratio limit property

Jon H. Folkman, Sidney C. Port

ResearchPublished 1965

A contribution to the theory of Markov chains: The probability that a particle, moving according to a recurrent random walk, is in a given finite set at some time long after the starting time is proportional to the number of points in that set. This properly is not true for all random motions, and it is a matter of some interest in probability theory to know for what systems an analogous result is true. The Memorandum establishes some conditions under which there is an analogous result.

Document Details

  • Copyright: RAND Corporation
  • Availability: Web Only
  • Year: 1965
  • Pages: 13
  • Document Number: RM-4355-PR

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Folkman, Jon H. and Sidney C. Port, On Markov chains with the strong ratio limit property. Santa Monica, CA: RAND Corporation, 1965. https://www.rand.org/pubs/research_memoranda/RM4355.html.
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