Alain Thomas

activity

20042013

most citedCan an infinite left-product of nonnegative matrices be expressed in terms of infinite left-products of stochastic ones?

3 citations · 7 across the 8 of their papers we have counts for

collaborators

Showing 2009 · math.PRShow all

2 papers · 2 filters

math.PR2009★ 1 cited

Projective convergence of columns for inhomogeneous products of matrices with nonnegative entries

Éric Olivier, Alain Thomas

Let $P_{n}$ be the $n$ -step right product $A_{1} \dots A_{n}$ , where $A_{1}, A_{2}, \dots$ is a given infinite sequence of $d \times d$ matrices with nonnegative entries. In a wide range of sit…

math.PR2009★ 3 cited

Can an infinite left-product of nonnegative matrices be expressed in terms of infinite left-products of stochastic ones?

Alain Thomas

If a left-product $M_{n} ... M_{1}$ of square complex matrices converges to a nonnull limit when $n \to \infty$ and if the $M_{n}$ belong to a finite set, it is clear that there exists an i…