1. Infinite planar graphs with nonnegative combinatorial curvature Bobo Hua and Yanhui Su; 2. Curvature calculations for antitrees David Cushing, Shiping Liu, Florentin Munch and Norbert Peyerimho; 3. Gromov-Lawson tunnels with estimates Józef Dodziuk; 4. Norm convergence of the resolvent for wild perturbations Colette Anné and Olaf Post; 5. Manifolds with Ricci curvature in the Kato class: heat kernel bounds and applications Peter Stollmann and Christian Rose; 6. Multiple boundary representations of ¿ - harmonic functions on trees Massimo A. Picardello and Wolfgang Woess; 7. Internal DLA on Sierpinski gasket graphs Joe P. Chen, Wilfried Huss, Ecaterina Sava-Huss and Alexander Teplyaev; 8. Universal lower bounds for Laplacians on weighted graphs Daniel Lenz and Peter Stollmann 9. On Hardy inequalities on graphs and manifolds Matthias Keller, Yehuda Pinchover and Felix Pogorzelski; 10. Neumann domains on manifolds and graphs Lior Alon, Michael Bersudsky, Sebastian Egger and Rami Band; 11. On the existence and uniqueness of self-adjoint realizations of discrete (magnetic) Schrödinger operators Marcel Schmidt; 12. Box spaces: geometry of finite quotients Ana Khukhro and Alain Valette; 13. Ramanujan graphs and digraphs Ori Parzanchevski; 14. From partial differential equations to groups Andrzej ¿uk; 15. Spectral properties of limit-periodic operators David Damanik and Jake Fillman; 16. Uniform existence of the IDS on lattices and groups Christoph Schumacher, Fabian Schwarzenberger and Ivan Veselic.