8,432 research outputs found
Super-expanders and warped cones
For a Banach space , we show that any family of graphs quasi-isometric to
levels of a warped cone is an expander with respect to
if and only if the induced -representation on has a
spectral gap. This provides examples of graphs that are an expander with
respect to all Banach spaces of non-trivial type.Comment: 15 pages; to appear in Ann. Inst. Fourier; exposition rewritten, main
result slightly generalised to accommodate local spectral gap
Hubbard Model with Luscher fermions - a progress report
Some modifications of the Luscher algorithm, which reduce the autocorelation
time, are proposed and tested.Comment: 3 pages, uuencoded gzipped Postscript, contribution to Lattice 9
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