For and , consider the matrix and the rotation matrix . Let denote some product of instances of and of , with the condition (). We analyze the measure of the set of for which (). This can be regarded as a model problem for the Bochi–Fayad conjecture.
"On the size of the resonant set for the products of $2\times 2$ matrices." Involve 4 (2) 157 - 166, 2011. https://doi.org/10.2140/involve.2011.4.157