Stability of multi-dimensional birth-and-death processes with state-dependent $0$-homogeneous jumps. Jonckheere, M. & Shneer, S. Advances in Applied Probability, 46(1):59–75, March, 2014.
Stability of multi-dimensional birth-and-death processes with state-dependent $0$-homogeneous jumps [link]Paper  bibtex   
@Article{Jonckheere:2014:SMD,
  author =       "Matthieu Jonckheere and Seva Shneer",
  title =        "Stability of multi-dimensional birth-and-death
                 processes with state-dependent $0$-homogeneous jumps",
  journal =      j-ADV-APPL-PROB,
  volume =       "46",
  number =       "1",
  pages =        "59--75",
  month =        mar,
  year =         "2014",
  CODEN =        "AAPBBD",
  ISSN =         "0001-8678 (print), 1475-6064 (electronic)",
  ISSN-L =       "0001-8678",
  bibdate =      "Tue May 6 07:07:01 MDT 2014",
  bibsource =    "http://projecteuclid.org/euclid.aap/1396360099;
                 http://www.math.utah.edu/pub/tex/bib/advapplprob.bib",
  URL =          "http://projecteuclid.org/euclid.aap/1396360103",
  acknowledgement = ack-nhfb,
  ajournal =     "Adv. Appl. Probab.",
  fjournal =     "Advances in Applied Probability",
  journal-URL =  "http://www.jstor.org/journals/00018678.html;
                 https://www.cambridge.org/core/journals/advances-in-applied-probability;
                 http://projecteuclid.org/euclid.aap/",
}

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