# Double stochastic matrix positive recurrent?

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1. Feb 13, 2017

### diddy_kaufen

1. The problem statement, all variables and given/known data

When is a Markov chain with double stochastic matrix positive recurrent?

2. Relevant equations

Double stochastic matrix is when the sum of the column vectors, and not just the row vectors, is 1.

3. The attempt at a solution

I know I have to show that the expected value of the hitting time is $E(h_N)<\infty$ as $N\rightarrow\infty$. But I don't know how to approach this since it is an infinite space. Hints or guidance greatly appreciated.

edit, I think I got it, will edit later today

Last edited: Feb 13, 2017
2. Feb 20, 2017