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 L