Amenability of horocyclic products of percolation trees

Florian Sobieczky

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arXiv · 0903.3140

Amenability of horocyclic products of percolation trees

Florian Sobieczky

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Abstract

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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Florian Sobieczky. 2009-03-18. Amenability of horocyclic products of percolation trees. https://arxiv.org/abs/0903.3140

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