For { \theta} \in [0, 2{ \pi}), consider the rotation matrix R? and h = ({ \lambda}, 0; 0, 0), { \lambda} > 1. Let W_n({ \theta}) denote the product of m R?'s and n h's with the condition m \leq [\epsilon\astn], (0 < \epsilon < 1). We analyze the measure of the set of { \theta} for which ||W_n({ \theta})|| \geq { \lambda}?^(n*{ \delta}), (0 < { \delta} < 1). This can be regarded as a model problem for the so-called Bochi-Fayad conjecture.
Categories: math.DS