Ergodic decomposition of Markov chains. Villarreal, C. E Linear algebra and its applications, 283(1):61--73, North-Holland, 1998.
bibtex   
@article{villarreal1998ergodic1,
  title={Ergodic decomposition of Markov chains},
  author={Villarreal, C{\'e}sar 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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