'This is still an open and fascinating field that continues to develop, and is presented in a coherent manner in the book series edited by M. Baake and U. Grimm … Although most of the chapters contain an easy-to-read introduction that explains the goal and the problems to be solved, the book is clearly written for mathematicians interested by this growing field.' Marc de Boissieu, Acta Cryst
Foreword Jeffrey C. Lagarias; Preface Michael Baake and Uwe Grimm; 1. More inflation tilings Dirk Frettlöh; 2. Discrete tomography of model sets: reconstruction and uniqueness Uwe Grimm, Peter Gritzmann and Christian Huck; 3. Geometric enumeration problems for lattices and embedded Z-modules Michael Baake and Peter Zeiner; 4. Almost periodic measures and their fourier transforms Robert V. Moody and Nicolae Strungaru; 5. Almost periodic pure point measures Nicolae Strungaru; 6. Averaging almost periodic functions along exponential sequences Michael Baake, Alan Haynes and Daniel Lenz; Epilogue. Gateways towards quasicrystals Peter Kramer; Index.