Corpus ID: 237502818

Almost triangular Markov chains on $\mathbb{N}$

  title={Almost triangular Markov chains on \$\mathbb\{N\}\$},
  author={Luis Fredes and J. Marckert},
A transition matrix [ Ui,j ] i,j≥0 on N is said to be almost upper triangular if Ui,j ≥ 0⇒ j ≥ i − 1, so that the increments of the corresponding Markov chains are at least −1; a transition matrix [ Li,j ] i,j≥0 is said to be almost lower triangular if Li,j ≥ 0 ⇒ j ≤ i + 1, and then, the increments of the corresponding Markov chains are at most +1. In the present paper, we characterize the recurrence, positive recurrence and invariant distribution for the class of almost triangular transition… 


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