I will present recent work on Anderson localization for Schrödinger operators generated by hyperbolic transformations. Specifically, we consider subshifts of finite type equipped with an ergodic measure that admits a bounded distortion property. We show that if the Lyapunov exponent is uniformly positive and satisfies a uniform large deviation theorem (LDT) on a compact interval, then the operator exhibits Anderson localization on that interval almost surely. For Hölder continuous potentials with small supremum norms, we establish uniform positivity and a uniform LDT away from an arbitrarily small neighborhood of a finite set. In particular, this yields full spectral localization for such potentials. This talk is based on joint work with A. Avila and D. Damanik.