On the Size of the Resonant Set for the Products of 2x2 Matrices

Jeffrey Allen, Benjamin Seeger, Deborah Unger

For θ \in [0, 2π), consider the rotation matrix R? and h = (λ, 0; 0, 0), λ > 1. Let W_n(θ) denote the product of m R?'s and n h's with the condition m \leq [ε\astn], (0 < ε< 1). We…