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math.DS2011★ 41 cited
Continuity of the Lyapunov Exponent for analytic quasi-perodic cocycles with singularities
S. Jitomirskaya, C. A. Marx
We prove that the Lyapunov exponent of quasi-periodic cocyles with singularities behaves continuously over the analytic category. We thereby generalize earlier results, where singu…
math.SP2011★ 2 cited
Singular components of spectral measures for ergodic Jacobi matrices
C. A. Marx
For ergodic 1d Jacobi operators we prove that the random singular components of any spectral measure are almost surely mutually disjoint as long as one restricts to the set of posi…