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Why the stationary distribution of this markov chain is empty?

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Corrado A.
Corrado A. 2018-3-16
回答： seyed mahmoud mirkhan 2020-12-25
Hello,
I have this probability matrix:
P = [0 1 0 0 0 0;
0 0 1 0 0 0;
0 0 0 1 0 0;
0 0 0 0 1 0;
0 0.0833333333333333 0 0 0 0.916666666666667;
1 0 0 0 0 0];
If I create a dtmc object and compute the stationary distribution as follows
mc = dtmc(P);
mu = asymptotics(mc);
the asymptotics function returns an empty array. What am I missing? Even if the mc is not ergodic shouldn't it have at least one stationary distribution?
Thank you for your time.

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回答（1 个）

seyed mahmoud mirkhan
hello. i solve your problem with spectral decomposition method
stationary distribution is
0.1571 0.1714 0.1714 0.1714 0.1714 0.1571

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