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Cover Image for Weighted self-avoiding walks

Geoffrey R. Grimmett, Zhongyang Li

Jul 28, 2020

Abstract: We study the connective constants of weighted self-avoiding walks (SAWs) on infinite graphs and groups. The main focus is upon weighted SAWs on finitely generated, virtually indicable groups. Such groups possess...

article self-avoiding walk Weight function connective constant Bridge constant Virtually indicable group Cayley graph Transitive graph 05C30 20F65 82B20

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$Cover Image for ℓ2$\ell ^2$‐Betti numbers and coherence of random groups$ View Article

ℓ2$\ell ^2$‐Betti numbers and coherence of random groups

Dawid Kielak, Robert Kropholler, Gareth Wilkes

Mar 17, 2022

20F65 RESEARCH ARTICLE RESEARCH ARTICLES

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