More than 35 years and 11 000 publications after the discovery of quasicrystals by Dan Shechtman, quite a bit is known about their occurrence, formation, stability, structures and physical properties. It has also been discovered that quasiperiodic self-assembly is not restricted to intermetallics, but can take place in systems on the meso- and macroscales. However, there are some blank areas, e...

0031-9007= We show that matter effects change the ! oscillation probability by as much as 70% for certain ranges of energies and path lengths. Consequently, the ! survival probability also undergoes large changes. A proper understanding of survival rates must consider matter effects in P as well as P e. We comment on (a) how these matter effects may be observed and the sign of 31 determined in ...

Model a network as an edge-weighted graph, where the (unknown) weight we of edge e indicates the frequency of observed interactions, and over time t we observe a Poisson(twe) number of interactions across edges e. How should we estimate some given statistic of the underlying network? This leads to wide-ranging and challenging problems, on which this article makes only partial progress.