Alain Thomas

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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

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math.PR2013

Almost sure convergence of products of $2 \times 2$ nonnegative matrices

Alain Thomas

We study the almost sure convergence of the normalized columns in an infinite product of nonnegative matrices, and the almost sure rank one property of its limit points. Given a pr…

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…

Almost sure convergence of products of 2×2 nonnegative matrices

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

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

Almost sure convergence of products of $2 \times 2$ nonnegative matrices