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Drift vectors are not sufficient to determine recurrence of a Markov chain on ℤ3 +

  • Mitchell Kotler (a1)
Abstract

For a Markov chain in n = 2, drift vectors (conditional expected jumps) on the interior and the boundaries distinguish between recurrence and transience. The result of this paper is that the analogous proposition in the n = 3 case fails.

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Postal address: Department of Mathematics and Statistics, UMass Amherst, Amherst, MA 01003, USA.
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Journal of Applied Probability
  • ISSN: 0021-9002
  • EISSN: 1475-6072
  • URL: /core/journals/journal-of-applied-probability
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