Ergodic decomposition of Markov chains. Villarreal & E, C. Linear algebra and its applications, 283(1):61--73, North-Holland, 1998.
bibtex   
@article{ villarreal1998ergodic1,
  title = {Ergodic decomposition of Markov chains},
  author = {Villarreal, César E},
  journal = {Linear algebra and its applications},
  volume = {283},
  number = {1},
  pages = {61--73},
  year = {1998},
  publisher = {North-Holland},
  keywords = {pisis}
}

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