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math.PR2021★ 2 cited
Factor-of-iid balanced orientation of non-amenable graphs
Ferenc Bencs, Aranka Hrušková, László Márton Tóth
We show that if a non-amenable, quasi-transitive, unimodular graph has all degrees even then it has a factor-of-iid balanced orientation, meaning each vertex has equal in- and…
math.PR2021★ 8 cited
Factor-of-iid Schreier decorations of lattices in Euclidean spaces
Ferenc Bencs, Aranka Hrušková, László Márton Tóth
A Schreier decoration is a combinatorial coding of an action of the free group on the vertex set of a -regular graph. We investigate whether a Schreier decoration exists…