1. Decay and computability.- 2. Differential and pseudo-differential operators on graphs as models of mesoscopic systems.- 3. Homogenization of some multiparametric problems.- 4. Power geometry as a new calculus.- 5. A survey of Q-spaces and Q#-classes.- 6. Hyperbolically convex functions.- 7. Nevanlinna theory in characteristic P and applications.- 8. A new property of meromorphic functions and its applications.- 9. Complex zero decreasing sequences and the Riemann hypothesis II.- 10. Theory of reproducing kernels.- 11. Analytic functions and analytic functionals on some balls in the complex Euclidean space.- 12. Batteries and energy minimization problems.- 13. Vector-valued extentions of some classical theorems in harmonic analysis.- 14. Chaotic zone in the Bogdanov-Takens bifurcation for diffeomorphisms.- 15. Carleman estimates for a plate equation on a Riemann manifold with energy level terms.- 16. Hyperbolicity for systems.- 17. Strictly hyperbolic operators and approximate energies.- 18. Multiple highly oscillatory shock waves.- 19. Exponential time decay solutions of Schrödinger equations and of wave equations in even dimensional spaces.- 20. Inverse scattering for a small nonselfadjoint perturbation of the wave equation.