@inbook{2ca08fc8e0004c54a1740b5fe563dc10,
title = "Transience, Recurrence, and Harris Recurrence",
abstract = "Recurrence and transience properties have already been examined in Chapter 6 and 7 for atomic and discrete Markov chains. We revisit these notions for irreducible Markov chains. Some of the properties we have shown for atomic chains extend quite naturally to irreducible chains. This is in particular true of the dichotomy between recurrent and transient chains (compare Theorem 6.2.7 or Theorem 7.1.2 with Theorem 10.1.5 below).",
author = "Randal Douc and Eric Moulines and Pierre Priouret and Philippe Soulier",
note = "Publisher Copyright: {\textcopyright} 2018, Springer Nature Switzerland AG.",
year = "2018",
month = jan,
day = "1",
doi = "10.1007/978-3-319-97704-1\_10",
language = "English",
series = "Springer Series in Operations Research and Financial Engineering",
publisher = "Springer Nature",
pages = "221--239",
booktitle = "Springer Series in Operations Research and Financial Engineering",
}