Finiteness of Eigenvalues of the Perturbed Dirac Operator -- A Mathematical Study of Quantum Revivals and Quantum Fidelity -- On Relations Between Stable and Zeno Dynamics in a Leaky Graph Decay Model -- On the Spectrum of Partially Periodic Operators -- Functional Model for Singular Perturbations of Non-self-adjoint Operators -- Trace Formulas for Jacobi Operators in Connection with Scattering Theory for Quasi-Periodic Background -- Dirichlet-to-Neumann Techniques for the Plasma-waves in a Slot-diod -- Inverse Spectral Problem for Quantum Graphs with Rationally Dependent Edges -- Functional Model of a Class of Non-selfadjoint Extensions of Symmetric Operators -- Lyapunov Exponents at Anomalies of SL(2, ?)-actions -- Uniform and Smooth Benzaid-Lutz Type Theorems and Applications to Jacobi Matrices -- An Example of Spectral Phase Transition Phenomenon in a Class of Jacobi Matrices with Periodically Modulated Weights -- On Connection Between Factorizations of Weighted Schur Functions and Invariant Subspaces.