2 papers
math.DS2026
Uniform positivity of Lyapunov exponents for anti Hölder potentials
Nicholas Chiem
We consider Schrödinger operators with dynamically defined potentials that are anti -Hölder and generated by hyperbolic dynamics. We prove an anti Lipschitz estimate on function…
math.DS2025
Uniform positivity of the Lyapunov exponent for monotone potentials generated by the cat map
Nicholas Chiem
We consider an Arnold's Cat Map generated bounded potential with the directional derivative in the unstable direction bounded away from zero. We show that the Lyapunov expone…