منابع مشابه
Lattices on Non-uniform Trees
Let X be a locally finite tree, and let G = Aut(X). Then G is a locally compact group. We show that if X has more than one end, and if G contains a discrete subgroup Γ such that the quotient graph of groups Γ\\X is infinite but has finite covolume, then G contains a non-uniform lattice, that is, a discrete subgroup Λ such that Λ\G is not compact, yet has a finite G-invariant measure. 0. Notatio...
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We study random walks on undirected graphs with weighted edges. Our main result shows that any spanning tree deened by the edges corresponding to a rst visit of a vertex, appears with a probability proportional to its weight, which is the product of the weights of its edges. This provides an algorithm for generating non uniform random spanning trees in a weighted graph. The technique used here ...
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ژورنال
عنوان ژورنال: Memoirs of the American Mathematical Society
سال: 2001
ISSN: 0065-9266,1947-6221
DOI: 10.1090/memo/0724