Corpus ID: 119630266

General criteria for the study of quasi-stationarity

@article{Champagnat2017GeneralCF,
  title={General criteria for the study of quasi-stationarity},
  author={Nicolas Champagnat and Denis Villemonais},
  journal={arXiv: Probability},
  year={2017}
}
  • Nicolas Champagnat, Denis Villemonais
  • Published 2017
  • Mathematics
  • arXiv: Probability
  • For Markov processes with absorption, we provide general criteria ensuring the existence and the exponential non-uniform convergence in total variation norm to a quasi-stationary distribution. We also characterize a subset of its domain of attraction by an integrability condition, prove the existence of a right eigenvector for the semigroup of the process and the existence and exponential ergodicity of the Q-process. These results are applied to one-dimensional and multi-dimensional diffusion… CONTINUE READING

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