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 $({\omega }_n)\in \{0,\dots ,d-1{\}}^{\mathbb{N}}$ the seq…