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- W2963129589 abstract "Uniform spanning trees on finite graphs and their analogues on infinite graphs are a well-studied area. On a Cayley graph of a group, we show that they are related to the first ℓ 2 -Betti number of the group. Our main aim, however, is to present the basic elements of a higher-dimensional analogue on finite and infinite CW-complexes, which relate to the higher ℓ 2 -Betti numbers. One consequence is a uniform isoperimetric inequality extending work of Lyons, Pichot, and Vassout. We also present an enumeration similar to recent work of Duval, Klivans and Martin." @default.
- W2963129589 created "2019-07-30" @default.
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- W2963129589 date "2009-06-01" @default.
- W2963129589 modified "2023-09-23" @default.
- W2963129589 title "RANDOM COMPLEXES AND ℓ<sup>2</sup>-BETTI NUMBERS" @default.
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- W2963129589 doi "https://doi.org/10.1142/s1793525309000072" @default.
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