Amenability of horocyclic products of percolation trees
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🧮 math.PR
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amenabilitypercolationtreeshorocyclicproductsalmostcallconcerning
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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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