Directions in Mathematical Quasicrystals

Self-similar measures for quasicrystals by M. Baake and R. V. Moody Fourier analysis of deformed model sets by G. Bernuau and M. Duneau Mathematical quasicrystals and the problem of diffraction by J. C. Lagarias Designer quasicrystals: Cut-and-project sets with pre-assigned properties by P. A. B. Pleasants Generalized model sets and dynamical systems by M. Schlottmann On shelling icosahedral quasicrystals by A. Weiss Tilings, $C*$-algebras, and $K$-theory by J. Kellendonk and I. F. Putnam Hulls of aperiodic solids and gap labeling theorems by J. Bellissard, D. J. L. Herrmann, and M. Zarrouati Quasicrystals, parametric density, and Wulff-shape by K. Boroczky, Jr., U. Schnell, and J. M. Wills Gordon-type arguments in the spectral theory of one-dimensional quasi-crystals by D. Damanik The planar dimer model with boundary: A survey by R. Kenyon Digit tiling of euclidean space by A. Vince A guide to quasicrystal literature by M. Baake and U. Grimm Index.