Ergodic theory for the one-dimensional Jacobi operator

with Rafael Obaya,
Studia Math. 117 (2) (1996), 149-171.

The number and properties of the invariant measures under the projective flow defined
by a family of one-dimensional Jacobi operators are determined. The derivative of the
Floquet coefficient on the absolutely continuous spectrum is calculated, and the
existence of the non-tangential limit of the Weyl m-functions in the L1-topology is deduced.