1. Introduction

2. Self-adjoint rank one perturbations

3. Instability of the singular spectrum

4. Self-adjoint rank one perturbations and Anderson-type Hamiltonians

5. Szegő-Nagy–Foiaş model theory and rank n unitary perturbations

6. Aleksandrov–Clark Theory: Rank one unitary perturbations

7. Generalization of pseudo continuation

8. Certain other models