Fields Institute Monographs 1998; 289 pp; hardcover Volume: 10 ISBN10: 0821806823 ISBN13: 9780821806821 List Price: US$96 Member Price: US$76.80 Order Code: FIM/10
 The common topic of the eleven articles in this volume is ordered aperiodic systems realized either as point sets with the Delone property or as tilings of a Euclidean space. This emerging field of study is found at the crossroads of algebra, geometry, Fourier analysis, number theory, crystallography, and theoretical physics. The volume brings together contributions by leading specialists. Important advances in understanding the foundations of this new field are presented. Titles in this series are copublished with The Fields Institute for Research in Mathematical Sciences (Toronto, Ontario, Canada). Readership Mathematicians, physicists, crystallographers; graduate students. Table of Contents  M. Baake and R. V. Moody  Similarity submodules and semigroups
 D. Barache, B. Champagne, and J.P. Gazeau  Pisotcyclotomic quasilattices and their symmetry semigroups
 N. A. Bulenkov  Three possible branches of determinate modular generalization of crystallography
 L. Chen, R. V. Moody, and J. Patera  Noncrystallographic root systems
 L. W. Danzer  Upper bounds for the lengths of bridges based on Delone sets
 N. P. Dolbilin and D. W. Schattschneider  The local theorem for tilings
 A. Hof  Uniform distribution and the projection method
 D. W. Schattschneider and N. P. Dolbilin  One corona is enough for the Euclidean plane
 M. Schlottmann  Cutandproject sets in locally compact Abelian groups
 B. Solomyak  Spectrum of dynamical systems arising from Delone sets
 G. van Ophuysen  Nonlocality and aperiodicity of \(d\)dimensional tilings
