Effectivity of uniqueness of the maximal entropy measure on -adic homogeneous spaces

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Uniqueness of maximal entropy measure on essential spanning forests

An essential spanning forest of an infinite graph G is a spanning forest of G in which all trees have infinitely many vertices. Let Gn be an increasing sequence of finite connected subgraphs of G for which ∪Gn = G. Pemantle’s arguments (1991) imply that the uniform measures on spanning trees of Gn converge weakly to an Aut(G)-invariant measure μG on essential spanning forests of G. We show that...

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ژورنال

عنوان ژورنال: Ergodic Theory and Dynamical Systems

سال: 2015

ISSN: 0143-3857,1469-4417

DOI: 10.1017/etds.2014.148