Amenability of horocyclic products of percolation trees

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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).
2 figures

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Probability, 60B15; 60J80; 60K35

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http://salesiana.dossiersoluciones.com/handle/123456789/223676

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0903.3140
 http://arxiv.org/abs/0903.3140

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arXiv