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General criteria for the study of quasi-stationarity. (arXiv:1712.08092v2 [math.PR] UPDATED)
来源于:arXiv
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 processes, to pure jump
continuous time processes, to reducible processes with several communication
classes, to perturbed dynamical systems and discrete time processes evolving in
discrete state spaces. 查看全文>>