1,362,967 research outputs found
Scots Whay Hae! Robert Louis Stevenson Special
Podcast celebrating the life and work of Robert Louis Stevenson, featuring novelist Louise Welsh in conversation with Alistair Braidwood and Ronnie Young
Understanding our Galaxy - key contributions from the Parkes telescope
Young massive stars, with their spectacular masers and HII regions, dominate
our Galaxy, and are a cornerstone for understanding Galactic structure. I will
highlight the role of Parkes in contributing to these studies - past, present
and future.Comment: Published electronically in Proceedings "Science with Parkes @ 50
Years Young", 2012, Ed. Robert Braun. Conference link is,
http://www.atnf.csiro.au/research/conferences/Parkes50th/ProcPapers/caswell.pd
Averaged Dehn Functions for Nilpotent Groups
Gromov proposed an averaged version of the Dehn function and claimed that in
many cases it should be subasymptotic to the Dehn function. Using results on
random walks in nilpotent groups, we confirm this claim for most nilpotent
groups. In particular, if a nilpotent group satisfies the isoperimetric
inequality then it satisfies the averaged
isoperimetric inequality . In the case
of non-abelian free nilpotent groups, the bounds we give are asymptotically
sharp.Comment: 15 pages, 1 figure; many corrections/clarifications, expanded proof
of main theorem, added Proposition 4. To appear in Topolog
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