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 2010Show all

2 papers · 1 filter

math.RA2010

Infinite products of nonnegative $2 \times 2$ matrices by nonnegative vectors

Alain Thomas

Given a finite set ${M_{0}, \dots, M_{d - 1}}$ of nonnegative $2 \times 2$ matrices and a nonnegative column-vector $V$ , we associate to each $(ω_{n}) \in {0, \dots, d - 1}^{N}$ the seq…

math.DS2010★ 2 cited

How to prove that some Bernoulli convolution has the weak Gibbs property

Éric Olivier, Alain Thomas

In this paper we give an example of uniform convergence of the sequence of column vectors $\frac{A _{1} \dots A _{n} V}{∥ A _{1} \dots A _{n} V ∥}$ , $A_{i} \in {A, B, C}$ ,…

Infinite products of nonnegative 2×2 matrices by nonnegative vectors

How to prove that some Bernoulli convolution has the weak Gibbs property

Infinite products of nonnegative $2 \times 2$ matrices by nonnegative vectors