Includes bibliographical references.

Fluctuation based proof of the stability of ac spectra of random operators on tree graphs ; The BorgMarchenko theorem with a continuous spectrum ; Sampling theorems associated with differential operators iterated from lower order ones ; Outgrowths of Hardy's inequality ; On Hardy type inequalities ; A nonlinear fourthorder minimization problem ; A variational approach to inverse problems for anisotropic systems ; On selfadjoint and elfadjoint Diractype operators: a case study ; Necklaces with interacting beads: isoperimetric problems ; A DirichlettoNeumann map approach to resonance gaps and bands of periodic networks ; Resonances and summation of divergent series ; Recent results on nonadiabatic transitions in quantum mechanics ; Schrodinger operators with strong magnetic fields of compact support ; Optimization of the minimum eigenvalue for a class of second order differential operators ; Time of arrival in quantum mechanics and the quantum Zeno effect ; Groundstate energy of a dilute Fermi gas ; The scattering relation and the DirichlettoNeumann map ; Recovering boundary conditions in inverse SturmLiouville problems ; Preservation of the absolutely continuous spectrum: some extensions of a result by MolchanovNovitskiiVainberg ; Expansions associated with 1d periodic differential operators of order 4 ; Computed eigenmodes of planar regions ; Geometric optics and the wave equation on manifolds with corners Michael Aizenman Robert Sims and Simone Warzel ; Tuncay Aktosun and Ricardo Weder ; M H Annaby G Freiling and I A Soliman ; Wolfgang Arendt Gisele Ruiz Goldstein and Jerome A Goldstein ; Alexander A Balinsky and Alexey E Tyukov ; Rafael D Benguria ; B M Brown M Jais and P C Kalmbach ; Steve Clark and Fritz Gesztesy ; Pavel Exner ; Colin Fox Vladimir Oleinik and Boris Pavlov ; G Gallavotti ; George A Hagedorn and Alain Joye ; Rainer Hempel ; Don Hinton and Maeve L McCarthy ; Richard Lavine ; Elliott H Lieb Robert Seiringer and Jan Philip Solovej ; Leonid Pestov and Gunther Uhlmann ; Norbert Rohrl ; Alexei Rybkin ; Vadim Tkachenko ; Lloyd N Trefethen and Timo Betcke ; Andras Vasy