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math.PR2013★ 15 cited
The Fixed Points of the Multivariate Smoothing Transform
Sebastian Mentemeier
Let be fixed integers, let be random d-by-d matrices with nonnegative entries and a random d-vector with nonnegative entries. This induces a mapping…
math.PR2013
On Kesten's Multivariate Choquet-Deny Lemma
Sebastian Mentemeier
Let and be a sequence of independent identically distributed random matrices with nonnegative entries and no zero column. This induces a Markov chain $M_n…