Amenability of horocyclic products of percolation trees

Details Amenability of horocyclic products of percolation trees Amenability of horocyclic products of percolation trees

2009-03-18

arxiv.org/abs/0903.3140v2

Mathematics

Probability

2 figures

Scientific paper

For horocyclic products of percolation subtrees of regular trees, we show
almost sure amenability. Under a symmetry condition concerning the growth of
the two percolation trees, we show the existence of an increasing Foelner
sequence (which we call strong amenability).

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