Quantitative indistinguishability and sparse and dense clusters in factor of IID percolations

Endre Csóka, Péter Mester, Gábor Pete

Chifan-Ioana (2010) implies that, for any factor of IID percolation on any nonamenable Cayley graph $G$, there is a countable set of (strong) indistinguishability classes for non-h…