On rank functions for heaps

Motivated by work of Stembridge, we study rank functions for Viennot's heaps of pieces. We produce a simple and sufficient criterion for a heap to be a ranked poset and apply the results to the heaps arising from fully commutative words in Coxeter groups.Comment: 18 pages AMSTeX, 3 figure

Effects of halo triaxiality, anisotropy and small scale clumping on WIMP direct detection exclusion limits

Weakly Interacting Massive Particle (WIMP) direct detection experiments are closing in on the region of parameter space where neutralinos may constitute the Galactic halo dark matter. Numerical simulations and observations of galaxy halos indicate that the standard Maxwellian halo model is likely to be a poor approximation to the dark matter distribution. We examine how halo models with triaxiality and/or velocity anisotropy affect exclusion limits, before discussing the consequences of the possible survival of small scale clumps.Comment: 6 pages, 5 figures, to appear in proceedings of "IDM 2002, 4th International Workshop on the Identification of Dark Matter" v2: added 2 footnotes and a referenc