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- W2283991012 abstract "We introduce various notions of large-scale isoperimetric profile on a locally compact, compactly generated amenable group. These asymptotic quantities provide measurements of the degree of amenability of the group. We are particularly interested in a class of groups with exponential volume growth which are the most amenable possible in that sense. We show that these groups share various interesting properties such as the speed of on-diagonal decay of random walks, the vanishing of the reduced first L p -cohomology, or the existence of proper isometric actions on L p whose orbits are almost quasi-isometries." @default.
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- W2283991012 date "2007-01-01" @default.
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- W2283991012 title "Large-scale isoperimetry on locally compact groups and applications" @default.
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- W2283991012 doi "https://doi.org/10.5802/tsg.255" @default.
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