Some questions about the heisenberg picture

[HomogenousCow]

I have some questions regarding the Heisenberg picture of QM.
1. How does one calculate probabilities for measuring eigenvalues? Are the eigenvectors simply time dependent?
2.Does this mean for initial value problems, the initial data of the system is contained in the operators? (Or equivalently the initial values of their time dependent eigenvectors)
3.Could someone link me to some thorough worked examples of problems in the Heisenberg picture, the ones readily available over google tend to be short and unsatisfying.
Thanks

Edit: Found some good lecture notes for #3
Here's the link of anyone wants them http://www.physics.usu.edu/torre/Quantum Mechanics/6210_Spring_2008/Lectures/15.pdf

 

[atyy]

The eigenvalues stay the same, the eigenvectors change. Both are consequences of the time evolution of the operators. http://www.physics.usu.edu/torre/Quantum Mechanics/6210_Spring_2008/Lectures/15.pdf