Invariant spanning double rays in amenable groups

نویسندگان

چکیده

A well-known result of Benjamini, Lyons, Peres, and Schramm states that if G is a finitely generated Cayley graph group Γ , then amenable only admits -invariant random spanning tree with at most two ends. We show this equivalent to the existence double ray in power .

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ژورنال

عنوان ژورنال: Discrete Mathematics

سال: 2021

ISSN: ['1872-681X', '0012-365X']

DOI: https://doi.org/10.1016/j.disc.2020.112207