Interfaces, a species of lattice animals tied to percolation cluster boundaries, satisfy a duality br=(b1/r)^r on triangulated lattices and a strict growth-rate inequality b<a, connecting interface counts to percolation thresholds.
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On the exponential growth rates of lattice animals and interfaces
Interfaces, a species of lattice animals tied to percolation cluster boundaries, satisfy a duality br=(b1/r)^r on triangulated lattices and a strict growth-rate inequality b<a, connecting interface counts to percolation thresholds.